---
_id: '63616'
article_number: '104264'
author:
- first_name: Maik
full_name: Gude, Maik
last_name: Gude
- first_name: Gerson
full_name: Meschut, Gerson
id: '32056'
last_name: Meschut
orcid: 0000-0002-2763-1246
- first_name: Wilko
full_name: Flügge, Wilko
last_name: Flügge
- first_name: Linda
full_name: Fröck, Linda
last_name: Fröck
- first_name: Christopher
full_name: Wald, Christopher
last_name: Wald
- first_name: Vanessa
full_name: Neßlinger, Vanessa
id: '54649'
last_name: Neßlinger
orcid: 0000-0001-9416-1646
- first_name: Karsten
full_name: Dobrindt-Tittmann, Karsten
last_name: Dobrindt-Tittmann
- first_name: Juliane
full_name: Troschitz, Juliane
last_name: Troschitz
- first_name: Fynn
full_name: Neubert, Fynn
last_name: Neubert
- first_name: Martin
full_name: Hofmann, Martin
last_name: Hofmann
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Christian
full_name: Mathiszik, Christian
last_name: Mathiszik
- first_name: Hans Christian
full_name: Schmale, Hans Christian
last_name: Schmale
- first_name: Thomas
full_name: Wallmersperger, Thomas
last_name: Wallmersperger
- first_name: Guido
full_name: Grundmeier, Guido
id: '194'
last_name: Grundmeier
citation:
ama: 'Gude M, Meschut G, Flügge W, et al. Corrosion of adhesively bonded alloys
in maritime environments: A review. International Journal of Adhesion and Adhesives.
2026;147. doi:10.1016/j.ijadhadh.2026.104264'
apa: 'Gude, M., Meschut, G., Flügge, W., Fröck, L., Wald, C., Neßlinger, V., Dobrindt-Tittmann,
K., Troschitz, J., Neubert, F., Hofmann, M., Ostwald, R., Mathiszik, C., Schmale,
H. C., Wallmersperger, T., & Grundmeier, G. (2026). Corrosion of adhesively
bonded alloys in maritime environments: A review. International Journal of
Adhesion and Adhesives, 147, Article 104264. https://doi.org/10.1016/j.ijadhadh.2026.104264'
bibtex: '@article{Gude_Meschut_Flügge_Fröck_Wald_Neßlinger_Dobrindt-Tittmann_Troschitz_Neubert_Hofmann_et
al._2026, title={Corrosion of adhesively bonded alloys in maritime environments:
A review}, volume={147}, DOI={10.1016/j.ijadhadh.2026.104264},
number={104264}, journal={International Journal of Adhesion and Adhesives}, publisher={Elsevier
BV}, author={Gude, Maik and Meschut, Gerson and Flügge, Wilko and Fröck, Linda
and Wald, Christopher and Neßlinger, Vanessa and Dobrindt-Tittmann, Karsten and
Troschitz, Juliane and Neubert, Fynn and Hofmann, Martin and et al.}, year={2026}
}'
chicago: 'Gude, Maik, Gerson Meschut, Wilko Flügge, Linda Fröck, Christopher Wald,
Vanessa Neßlinger, Karsten Dobrindt-Tittmann, et al. “Corrosion of Adhesively
Bonded Alloys in Maritime Environments: A Review.” International Journal of
Adhesion and Adhesives 147 (2026). https://doi.org/10.1016/j.ijadhadh.2026.104264.'
ieee: 'M. Gude et al., “Corrosion of adhesively bonded alloys in maritime
environments: A review,” International Journal of Adhesion and Adhesives,
vol. 147, Art. no. 104264, 2026, doi: 10.1016/j.ijadhadh.2026.104264.'
mla: 'Gude, Maik, et al. “Corrosion of Adhesively Bonded Alloys in Maritime Environments:
A Review.” International Journal of Adhesion and Adhesives, vol. 147, 104264,
Elsevier BV, 2026, doi:10.1016/j.ijadhadh.2026.104264.'
short: M. Gude, G. Meschut, W. Flügge, L. Fröck, C. Wald, V. Neßlinger, K. Dobrindt-Tittmann,
J. Troschitz, F. Neubert, M. Hofmann, R. Ostwald, C. Mathiszik, H.C. Schmale,
T. Wallmersperger, G. Grundmeier, International Journal of Adhesion and Adhesives
147 (2026).
date_created: 2026-01-15T08:37:20Z
date_updated: 2026-01-15T08:43:07Z
doi: 10.1016/j.ijadhadh.2026.104264
intvolume: ' 147'
language:
- iso: eng
publication: International Journal of Adhesion and Adhesives
publication_identifier:
issn:
- 0143-7496
publication_status: published
publisher: Elsevier BV
status: public
title: 'Corrosion of adhesively bonded alloys in maritime environments: A review'
type: journal_article
user_id: '54649'
volume: 147
year: '2026'
...
---
_id: '63676'
abstract:
- lang: eng
text: "\r\n Purpose\r\n The
purpose of this paper is to develop new methods of error representation to improve
the accuracy and numerical efficiency of a posteriori and goal-oriented adaptive
framework of elastoplasticity with Prandtl–Reuss type material laws.\r\n
\ \r\n \r\n Design/methodology/approach\r\n
\ To obtain new methods of error representation for
a posteriori and goal-oriented error estimators, weak forms of primal and dual
problems are investigated starting with the initial boundary value problem (IBVP).
Then, we approximate both problems using temporal discretization. Additionally,
we introduce a secant form considering the nonlinearity of elasto-plastic constitutive
equations, which is approximated by a tangent form. Finally, we obtain numerical
primal and dual solutions and their corresponding error approximations of discretized
primal and dual problems, allowing to build several goal-oriented a posteriori
error estimators on temporal and spatial adaptive refinement by inserting primal
solutions, dual solutions and their error approximations as arguments in residuals
of both weak forms as well as in the secant form of the bilinear residual.\r\n
\ \r\n \r\n Findings\r\n
\ An elasto-plastic material is investigated in a framework
of goal-oriented error estimator by using separately several methods of error
representation to deal with either temporal or spatial adaptive refinement, as
well as with both refinements leading to an effective reduction of computational
effort. Specifically, new error representations based on goal-oriented error estimators
are presented and obtained from primal and dual residuals, which use only primal
solutions or only dual solutions or a combination of primal and dual solutions
as arguments. Error representations obtained from primal residuals and evaluated
using only primal arguments do not require the formulation of a dual problem.\r\n
\ \r\n \r\n Research
limitations/implications\r\n The effectiveness
of the different proposed methods is illustrated by an example of a perforated
sheet for adaptive spatial refinement where new mesh adaptation methods of error
representation are compared against existing mesh adaptation methods such as uniform
mesh refinement, mesh refinement based on gradient indicators and adjoint-based
methods in literature. The framework generates a balanced mesh consisting of fine,
medium and coarse elements for accurate results, avoiding a numerically costly
simulation with only fine elements.\r\n \r\n
\ \r\n Originality/value\r\n
\ All new proposed methods of error representation successfully
estimate actual errors during mesh adaptivity. Furthermore, the proposed methods
of error representation allow us to obtain significant reduction and equidistribution
of spatial error at the end of the mesh adaptivity process. Their application
to a framework of goal-oriented error estimation due to time and mesh adaptivity
remains an open issue.\r\n "
author:
- first_name: Arnold
full_name: Tchomgue Simeu, Arnold
id: '83075'
last_name: Tchomgue Simeu
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
citation:
ama: Tchomgue Simeu A, Caylak I, Ostwald R. Error representations for goal-oriented
a posteriori error estimation in elasto-plasticity
with applications to mesh adaptivity. Engineering Computations. Published
online 2026:1-40. doi:10.1108/ec-12-2023-0975
apa: Tchomgue Simeu, A., Caylak, I., & Ostwald, R. (2026). Error representations
for goal-oriented a posteriori error
estimation in elasto-plasticity with applications to mesh adaptivity. Engineering
Computations, 1–40. https://doi.org/10.1108/ec-12-2023-0975
bibtex: '@article{Tchomgue Simeu_Caylak_Ostwald_2026, title={Error representations
for goal-oriented a posteriori error
estimation in elasto-plasticity with applications to mesh adaptivity}, DOI={10.1108/ec-12-2023-0975}, journal={Engineering
Computations}, publisher={Emerald}, author={Tchomgue Simeu, Arnold and Caylak,
Ismail and Ostwald, Richard}, year={2026}, pages={1–40} }'
chicago: Tchomgue Simeu, Arnold, Ismail Caylak, and Richard Ostwald. “Error Representations
for Goal-Oriented a Posteriori Error
Estimation in Elasto-Plasticity with Applications to Mesh Adaptivity.” Engineering
Computations, 2026, 1–40. https://doi.org/10.1108/ec-12-2023-0975.
ieee: 'A. Tchomgue Simeu, I. Caylak, and R. Ostwald, “Error representations for
goal-oriented a posteriori error
estimation in elasto-plasticity with applications to mesh adaptivity,” Engineering
Computations, pp. 1–40, 2026, doi: 10.1108/ec-12-2023-0975.'
mla: Tchomgue Simeu, Arnold, et al. “Error Representations for Goal-Oriented
a Posteriori Error Estimation in Elasto-Plasticity
with Applications to Mesh Adaptivity.” Engineering Computations, Emerald,
2026, pp. 1–40, doi:10.1108/ec-12-2023-0975.
short: A. Tchomgue Simeu, I. Caylak, R. Ostwald, Engineering Computations (2026)
1–40.
date_created: 2026-01-21T06:49:18Z
date_updated: 2026-01-21T06:50:58Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1108/ec-12-2023-0975
language:
- iso: eng
page: 1-40
publication: Engineering Computations
publication_identifier:
issn:
- 0264-4401
- 1758-7077
publication_status: published
publisher: Emerald
quality_controlled: '1'
status: public
title: Error representations for goal-oriented a posteriori error
estimation in elasto-plasticity with applications to mesh adaptivity
type: journal_article
user_id: '85414'
year: '2026'
...
---
_id: '64187'
abstract:
- lang: eng
text: Carbon fiber-reinforced plastics (CFRPs) have become increasingly
significant in recent decades due to their remarkable mechanical properties and
lightweight nature. This study aims to advance the understanding and simulation
of CFRP behavior through the development of a hyperelastic-plastic-damage homogenization
method combined with mean-field theory. The material responses of both the fiber
and matrix are modeled using strain energy functions that account for damage evolution,
while a complete linearization of the homogenization process is derived to ensure
the consistent implementation of the Newton–Raphson iteration scheme in large
deformation simulations. The innovative aspect of this work lies in the constitutive
linearization for the hyperelastic-plastic-damage formulation within a mean-field
homogenization framework, providing an efficient Newton algorithm for modeling
the nonlinear behavior of CFRP. A failure criterion for the hyperelastic model
of fibers is introduced, along with a damage saturation variable in rate form
for the matrix, effectively capturing damage evolution. Through discrete formulations
for the homogenization, the proposed model’s capability is demonstrated via three
numerical examples and validated against experimental investigations, proving
its effectiveness and reliability in simulating CFRP damage.
article_number: '10812865261420809'
author:
- first_name: Yingjie
full_name: Zhan, Yingjie
id: '93591'
last_name: Zhan
- first_name: Ismail
full_name: Caylak, Ismail
last_name: Caylak
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: Enrico
full_name: Barth, Enrico
last_name: Barth
- first_name: Eckart
full_name: Uhlmann, Eckart
last_name: Uhlmann
citation:
ama: Zhan Y, Caylak I, Ostwald R, Mahnken R, Barth E, Uhlmann E. A fully implicit
mean-field damage formulation with consistent linearization at large deformations.
Mathematics and Mechanics of Solids. Published online 2026. doi:10.1177/10812865261420809
apa: Zhan, Y., Caylak, I., Ostwald, R., Mahnken, R., Barth, E., & Uhlmann, E.
(2026). A fully implicit mean-field damage formulation with consistent linearization
at large deformations. Mathematics and Mechanics of Solids, Article 10812865261420808.
https://doi.org/10.1177/10812865261420809
bibtex: '@article{Zhan_Caylak_Ostwald_Mahnken_Barth_Uhlmann_2026, title={A fully
implicit mean-field damage formulation with consistent linearization at large
deformations}, DOI={10.1177/10812865261420809},
number={10812865261420808}, journal={Mathematics and Mechanics of Solids}, publisher={SAGE
Publications}, author={Zhan, Yingjie and Caylak, Ismail and Ostwald, Richard and
Mahnken, Rolf and Barth, Enrico and Uhlmann, Eckart}, year={2026} }'
chicago: Zhan, Yingjie, Ismail Caylak, Richard Ostwald, Rolf Mahnken, Enrico Barth,
and Eckart Uhlmann. “A Fully Implicit Mean-Field Damage Formulation with Consistent
Linearization at Large Deformations.” Mathematics and Mechanics of Solids,
2026. https://doi.org/10.1177/10812865261420809.
ieee: 'Y. Zhan, I. Caylak, R. Ostwald, R. Mahnken, E. Barth, and E. Uhlmann, “A
fully implicit mean-field damage formulation with consistent linearization at
large deformations,” Mathematics and Mechanics of Solids, Art. no. 10812865261420808,
2026, doi: 10.1177/10812865261420809.'
mla: Zhan, Yingjie, et al. “A Fully Implicit Mean-Field Damage Formulation with
Consistent Linearization at Large Deformations.” Mathematics and Mechanics
of Solids, 10812865261420808, SAGE Publications, 2026, doi:10.1177/10812865261420809.
short: Y. Zhan, I. Caylak, R. Ostwald, R. Mahnken, E. Barth, E. Uhlmann, Mathematics
and Mechanics of Solids (2026).
date_created: 2026-02-17T11:21:00Z
date_updated: 2026-02-17T11:22:49Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1177/10812865261420809
language:
- iso: eng
publication: Mathematics and Mechanics of Solids
publication_identifier:
issn:
- 1081-2865
- 1741-3028
publication_status: published
publisher: SAGE Publications
quality_controlled: '1'
status: public
title: A fully implicit mean-field damage formulation with consistent linearization
at large deformations
type: journal_article
user_id: '85414'
year: '2026'
...
---
_id: '63821'
article_number: '104264'
author:
- first_name: Maik
full_name: Gude, Maik
last_name: Gude
- first_name: Gerson
full_name: Meschut, Gerson
id: '32056'
last_name: Meschut
orcid: 0000-0002-2763-1246
- first_name: Wilko
full_name: Flügge, Wilko
last_name: Flügge
- first_name: Linda
full_name: Fröck, Linda
last_name: Fröck
- first_name: Christopher
full_name: Wald, Christopher
last_name: Wald
- first_name: Vanessa
full_name: Neßlinger, Vanessa
last_name: Neßlinger
- first_name: Karsten
full_name: Dobrindt-Tittmann, Karsten
last_name: Dobrindt-Tittmann
- first_name: Juliane
full_name: Troschitz, Juliane
last_name: Troschitz
- first_name: Fynn Lucas
full_name: Neubert, Fynn Lucas
id: '74308'
last_name: Neubert
orcid: 0009-0006-5243-4531
- first_name: Martin
full_name: Hofmann, Martin
last_name: Hofmann
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Christian
full_name: Mathiszik, Christian
last_name: Mathiszik
- first_name: Hans Christian
full_name: Schmale, Hans Christian
last_name: Schmale
- first_name: Thomas
full_name: Wallmersperger, Thomas
last_name: Wallmersperger
- first_name: Guido
full_name: Grundmeier, Guido
id: '194'
last_name: Grundmeier
citation:
ama: 'Gude M, Meschut G, Flügge W, et al. Corrosion of adhesively bonded alloys
in maritime environments: A review. International Journal of Adhesion and Adhesives.
2026;147. doi:10.1016/j.ijadhadh.2026.104264'
apa: 'Gude, M., Meschut, G., Flügge, W., Fröck, L., Wald, C., Neßlinger, V., Dobrindt-Tittmann,
K., Troschitz, J., Neubert, F. L., Hofmann, M., Ostwald, R., Mathiszik, C., Schmale,
H. C., Wallmersperger, T., & Grundmeier, G. (2026). Corrosion of adhesively
bonded alloys in maritime environments: A review. International Journal of
Adhesion and Adhesives, 147, Article 104264. https://doi.org/10.1016/j.ijadhadh.2026.104264'
bibtex: '@article{Gude_Meschut_Flügge_Fröck_Wald_Neßlinger_Dobrindt-Tittmann_Troschitz_Neubert_Hofmann_et
al._2026, title={Corrosion of adhesively bonded alloys in maritime environments:
A review}, volume={147}, DOI={10.1016/j.ijadhadh.2026.104264},
number={104264}, journal={International Journal of Adhesion and Adhesives}, publisher={Elsevier
BV}, author={Gude, Maik and Meschut, Gerson and Flügge, Wilko and Fröck, Linda
and Wald, Christopher and Neßlinger, Vanessa and Dobrindt-Tittmann, Karsten and
Troschitz, Juliane and Neubert, Fynn Lucas and Hofmann, Martin and et al.}, year={2026}
}'
chicago: 'Gude, Maik, Gerson Meschut, Wilko Flügge, Linda Fröck, Christopher Wald,
Vanessa Neßlinger, Karsten Dobrindt-Tittmann, et al. “Corrosion of Adhesively
Bonded Alloys in Maritime Environments: A Review.” International Journal of
Adhesion and Adhesives 147 (2026). https://doi.org/10.1016/j.ijadhadh.2026.104264.'
ieee: 'M. Gude et al., “Corrosion of adhesively bonded alloys in maritime
environments: A review,” International Journal of Adhesion and Adhesives,
vol. 147, Art. no. 104264, 2026, doi: 10.1016/j.ijadhadh.2026.104264.'
mla: 'Gude, Maik, et al. “Corrosion of Adhesively Bonded Alloys in Maritime Environments:
A Review.” International Journal of Adhesion and Adhesives, vol. 147, 104264,
Elsevier BV, 2026, doi:10.1016/j.ijadhadh.2026.104264.'
short: M. Gude, G. Meschut, W. Flügge, L. Fröck, C. Wald, V. Neßlinger, K. Dobrindt-Tittmann,
J. Troschitz, F.L. Neubert, M. Hofmann, R. Ostwald, C. Mathiszik, H.C. Schmale,
T. Wallmersperger, G. Grundmeier, International Journal of Adhesion and Adhesives
147 (2026).
date_created: 2026-01-30T15:54:11Z
date_updated: 2026-02-23T10:22:02Z
department:
- _id: '157'
doi: 10.1016/j.ijadhadh.2026.104264
intvolume: ' 147'
language:
- iso: eng
publication: International Journal of Adhesion and Adhesives
publication_identifier:
issn:
- 0143-7496
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: 'Corrosion of adhesively bonded alloys in maritime environments: A review'
type: journal_article
user_id: '74308'
volume: 147
year: '2026'
...
---
_id: '63665'
article_number: '104264'
author:
- first_name: Maik
full_name: Gude, Maik
last_name: Gude
- first_name: Gerson
full_name: Meschut, Gerson
id: '32056'
last_name: Meschut
orcid: 0000-0002-2763-1246
- first_name: Wilko
full_name: Flügge, Wilko
last_name: Flügge
- first_name: Linda
full_name: Fröck, Linda
last_name: Fröck
- first_name: Christopher
full_name: Wald, Christopher
last_name: Wald
- first_name: Vanessa
full_name: Neßlinger, Vanessa
last_name: Neßlinger
- first_name: Karsten
full_name: Dobrindt-Tittmann, Karsten
last_name: Dobrindt-Tittmann
- first_name: Juliane
full_name: Troschitz, Juliane
last_name: Troschitz
- first_name: Fynn
full_name: Neubert, Fynn
last_name: Neubert
- first_name: Martin
full_name: Hofmann, Martin
last_name: Hofmann
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Christian
full_name: Mathiszik, Christian
last_name: Mathiszik
- first_name: Hans Christian
full_name: Schmale, Hans Christian
last_name: Schmale
- first_name: Thomas
full_name: Wallmersperger, Thomas
last_name: Wallmersperger
- first_name: Guido
full_name: Grundmeier, Guido
id: '194'
last_name: Grundmeier
citation:
ama: 'Gude M, Meschut G, Flügge W, et al. Corrosion of adhesively bonded alloys
in maritime environments: A review. International Journal of Adhesion and Adhesives.
2026;147. doi:10.1016/j.ijadhadh.2026.104264'
apa: 'Gude, M., Meschut, G., Flügge, W., Fröck, L., Wald, C., Neßlinger, V., Dobrindt-Tittmann,
K., Troschitz, J., Neubert, F., Hofmann, M., Ostwald, R., Mathiszik, C., Schmale,
H. C., Wallmersperger, T., & Grundmeier, G. (2026). Corrosion of adhesively
bonded alloys in maritime environments: A review. International Journal of
Adhesion and Adhesives, 147, Article 104264. https://doi.org/10.1016/j.ijadhadh.2026.104264'
bibtex: '@article{Gude_Meschut_Flügge_Fröck_Wald_Neßlinger_Dobrindt-Tittmann_Troschitz_Neubert_Hofmann_et
al._2026, title={Corrosion of adhesively bonded alloys in maritime environments:
A review}, volume={147}, DOI={10.1016/j.ijadhadh.2026.104264},
number={104264}, journal={International Journal of Adhesion and Adhesives}, publisher={Elsevier
BV}, author={Gude, Maik and Meschut, Gerson and Flügge, Wilko and Fröck, Linda
and Wald, Christopher and Neßlinger, Vanessa and Dobrindt-Tittmann, Karsten and
Troschitz, Juliane and Neubert, Fynn and Hofmann, Martin and et al.}, year={2026}
}'
chicago: 'Gude, Maik, Gerson Meschut, Wilko Flügge, Linda Fröck, Christopher Wald,
Vanessa Neßlinger, Karsten Dobrindt-Tittmann, et al. “Corrosion of Adhesively
Bonded Alloys in Maritime Environments: A Review.” International Journal of
Adhesion and Adhesives 147 (2026). https://doi.org/10.1016/j.ijadhadh.2026.104264.'
ieee: 'M. Gude et al., “Corrosion of adhesively bonded alloys in maritime
environments: A review,” International Journal of Adhesion and Adhesives,
vol. 147, Art. no. 104264, 2026, doi: 10.1016/j.ijadhadh.2026.104264.'
mla: 'Gude, Maik, et al. “Corrosion of Adhesively Bonded Alloys in Maritime Environments:
A Review.” International Journal of Adhesion and Adhesives, vol. 147, 104264,
Elsevier BV, 2026, doi:10.1016/j.ijadhadh.2026.104264.'
short: M. Gude, G. Meschut, W. Flügge, L. Fröck, C. Wald, V. Neßlinger, K. Dobrindt-Tittmann,
J. Troschitz, F. Neubert, M. Hofmann, R. Ostwald, C. Mathiszik, H.C. Schmale,
T. Wallmersperger, G. Grundmeier, International Journal of Adhesion and Adhesives
147 (2026).
date_created: 2026-01-20T09:06:03Z
date_updated: 2026-03-04T11:32:09Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1016/j.ijadhadh.2026.104264
intvolume: ' 147'
language:
- iso: eng
publication: International Journal of Adhesion and Adhesives
publication_identifier:
issn:
- 0143-7496
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: 'Corrosion of adhesively bonded alloys in maritime environments: A review'
type: journal_article
user_id: '85414'
volume: 147
year: '2026'
...
---
_id: '65037'
abstract:
- lang: eng
text: "ABSTRACT\r\n Homogenization
methods simulate heterogeneous materials like composites effectively, but high
computational demands can offset their benefits. This work balances accuracy and
efficiency by assessing model and discretization errors of the finite element
method (FEM) through an adaptive numerical scheme. Two model hierarchies are introduced,
combining mean‐field and full‐field methods, and nonuniform transformation field
analysis (NTFA) with full‐field methods. Both hierarchies use a full‐field FEM
solution of the representative volume element (RVE) as reference. The study highlights
the benefits of using effective constitutive equations from mean‐field and full‐field
methods as well as NTFA methods, with a goal‐oriented a posteriori error estimator
based on duality techniques controlling mesh and model errors in a forwards‐in‐time
manner."
article_number: e70294
author:
- first_name: Arnold Tchomgue
full_name: Simeu, Arnold Tchomgue
last_name: Simeu
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
citation:
ama: Simeu AT, Caylak I, Ostwald R. Mesh and Model Adaptivity for Multiscale Elastoplastic
Models With Prandtl‐Reuss Type Material Laws. International Journal for Numerical
Methods in Engineering. 2026;127(6). doi:10.1002/nme.70294
apa: Simeu, A. T., Caylak, I., & Ostwald, R. (2026). Mesh and Model Adaptivity
for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws. International
Journal for Numerical Methods in Engineering, 127(6), Article e70294.
https://doi.org/10.1002/nme.70294
bibtex: '@article{Simeu_Caylak_Ostwald_2026, title={Mesh and Model Adaptivity for
Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws}, volume={127},
DOI={10.1002/nme.70294}, number={6e70294},
journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley},
author={Simeu, Arnold Tchomgue and Caylak, Ismail and Ostwald, Richard}, year={2026}
}'
chicago: Simeu, Arnold Tchomgue, Ismail Caylak, and Richard Ostwald. “Mesh and Model
Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material
Laws.” International Journal for Numerical Methods in Engineering 127,
no. 6 (2026). https://doi.org/10.1002/nme.70294.
ieee: 'A. T. Simeu, I. Caylak, and R. Ostwald, “Mesh and Model Adaptivity for Multiscale
Elastoplastic Models With Prandtl‐Reuss Type Material Laws,” International
Journal for Numerical Methods in Engineering, vol. 127, no. 6, Art. no. e70294,
2026, doi: 10.1002/nme.70294.'
mla: Simeu, Arnold Tchomgue, et al. “Mesh and Model Adaptivity for Multiscale Elastoplastic
Models With Prandtl‐Reuss Type Material Laws.” International Journal for Numerical
Methods in Engineering, vol. 127, no. 6, e70294, Wiley, 2026, doi:10.1002/nme.70294.
short: A.T. Simeu, I. Caylak, R. Ostwald, International Journal for Numerical Methods
in Engineering 127 (2026).
date_created: 2026-03-18T05:28:29Z
date_updated: 2026-03-18T05:31:02Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1002/nme.70294
intvolume: ' 127'
issue: '6'
language:
- iso: eng
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
issn:
- 0029-5981
- 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss
Type Material Laws
type: journal_article
user_id: '85414'
volume: 127
year: '2026'
...
---
_id: '65266'
abstract:
- lang: eng
text: "ABSTRACT\r\n This work
is concerned with the modeling of a cold‐box sand, a composition of sand grains
and a resin binder. To this end, experiments are performed, which show the following
characteristics: localization phenomena in the form of a shear band, softening
behavior in the force‐displacement curve, and asymmetric behavior for compression
and tension. To model this complex material behavior, a micromorphic continuum
is used. In the present contribution, we focus on the linear‐elastic regime and
demonstrate the identifiability of micromorphic material parameters under deliberately
induced inhomogeneous deformation states. In addition to the degrees of freedom
of a classical continuum, the micromorphic model has additional degrees of freedom,
introduced here in a phenomenological sense to represent kinematically enriched
deformation modes associated with the granular microstructure. Accordingly, the
micromorphic fields are not interpreted as a separate physical scale (e.g., “binder”
vs. “grains”), but as an effective continuum description at the specimen scale.
This contribution addresses parameter identification for a micromorphic model
of cold‐box sand, with a clear separation between homogeneous deformation states
governing classical elastic parameters and inhomogeneous states required to activate
and identify micromorphic length‐scale parameters. The main challenge lies in
identifying the micro material parameters. To determine these, the corresponding
gradient terms in the constitutive formulation must be triggered via properly
tuned experiments. Micro‐parameter identification is demonstrated using synthetic
data generated from a boundary‐value problem with inhomogeneous displacement fields.
The chosen benchmark enables controlled activation of gradient terms and thereby
renders optimization‐based identification of micromorphic parameters feasible.
The synthetic example is deliberately chosen to assess feasibility and identifiability
under controlled conditions, thereby isolating micromorphic identifiability aspects
from experimental uncertainties. The novelty of the contribution lies in explicitly
linking micromorphic parameter identifiability to kinematic inhomogeneity, and
in demonstrating this link within a tractable forward– inverse setting for a linear‐elastic
micromorphic continuum."
article_number: e70093
author:
- first_name: Alexander
full_name: Börger, Alexander
id: '52037'
last_name: Börger
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
citation:
ama: Börger A, Mahnken R, Caylak I, Ostwald R. Aspects of Parameter Identification
for a Micromorphic Continuum applied to a Cold‐Box Sand. Proceedings in Applied
Mathematics and Mechanics. 2026;26(2). doi:10.1002/pamm.70093
apa: Börger, A., Mahnken, R., Caylak, I., & Ostwald, R. (2026). Aspects of Parameter
Identification for a Micromorphic Continuum applied to a Cold‐Box Sand. Proceedings
in Applied Mathematics and Mechanics, 26(2), Article e70093. https://doi.org/10.1002/pamm.70093
bibtex: '@article{Börger_Mahnken_Caylak_Ostwald_2026, title={Aspects of Parameter
Identification for a Micromorphic Continuum applied to a Cold‐Box Sand}, volume={26},
DOI={10.1002/pamm.70093}, number={2e70093},
journal={Proceedings in Applied Mathematics and Mechanics}, publisher={Wiley},
author={Börger, Alexander and Mahnken, Rolf and Caylak, Ismail and Ostwald, Richard},
year={2026} }'
chicago: Börger, Alexander, Rolf Mahnken, Ismail Caylak, and Richard Ostwald. “Aspects
of Parameter Identification for a Micromorphic Continuum Applied to a Cold‐Box
Sand.” Proceedings in Applied Mathematics and Mechanics 26, no. 2 (2026).
https://doi.org/10.1002/pamm.70093.
ieee: 'A. Börger, R. Mahnken, I. Caylak, and R. Ostwald, “Aspects of Parameter Identification
for a Micromorphic Continuum applied to a Cold‐Box Sand,” Proceedings in Applied
Mathematics and Mechanics, vol. 26, no. 2, Art. no. e70093, 2026, doi: 10.1002/pamm.70093.'
mla: Börger, Alexander, et al. “Aspects of Parameter Identification for a Micromorphic
Continuum Applied to a Cold‐Box Sand.” Proceedings in Applied Mathematics and
Mechanics, vol. 26, no. 2, e70093, Wiley, 2026, doi:10.1002/pamm.70093.
short: A. Börger, R. Mahnken, I. Caylak, R. Ostwald, Proceedings in Applied Mathematics
and Mechanics 26 (2026).
date_created: 2026-04-01T04:52:34Z
date_updated: 2026-04-01T04:54:17Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1002/pamm.70093
intvolume: ' 26'
issue: '2'
language:
- iso: eng
publication: Proceedings in Applied Mathematics and Mechanics
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Aspects of Parameter Identification for a Micromorphic Continuum applied to
a Cold‐Box Sand
type: journal_article
user_id: '85414'
volume: 26
year: '2026'
...
---
_id: '61138'
article_number: '434'
author:
- first_name: Yingjie
full_name: Zhan, Yingjie
id: '93591'
last_name: Zhan
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Enrico
full_name: Barth, Enrico
last_name: Barth
- first_name: Eckart
full_name: Uhlmann, Eckart
last_name: Uhlmann
citation:
ama: 'Zhan Y, Caylak I, Ostwald R, Barth E, Uhlmann E. Damage-incorporated four-step
mean-field method for simulating CFRP machining: a novel algorithmic approach.
Multiscale and Multidisciplinary Modeling, Experiments and Design. 2025;8(10).
doi:10.1007/s41939-025-01026-4'
apa: 'Zhan, Y., Caylak, I., Ostwald, R., Barth, E., & Uhlmann, E. (2025). Damage-incorporated
four-step mean-field method for simulating CFRP machining: a novel algorithmic
approach. Multiscale and Multidisciplinary Modeling, Experiments and Design,
8(10), Article 434. https://doi.org/10.1007/s41939-025-01026-4'
bibtex: '@article{Zhan_Caylak_Ostwald_Barth_Uhlmann_2025, title={Damage-incorporated
four-step mean-field method for simulating CFRP machining: a novel algorithmic
approach}, volume={8}, DOI={10.1007/s41939-025-01026-4},
number={10434}, journal={Multiscale and Multidisciplinary Modeling, Experiments
and Design}, publisher={Springer Science and Business Media LLC}, author={Zhan,
Yingjie and Caylak, Ismail and Ostwald, Richard and Barth, Enrico and Uhlmann,
Eckart}, year={2025} }'
chicago: 'Zhan, Yingjie, Ismail Caylak, Richard Ostwald, Enrico Barth, and Eckart
Uhlmann. “Damage-Incorporated Four-Step Mean-Field Method for Simulating CFRP
Machining: A Novel Algorithmic Approach.” Multiscale and Multidisciplinary
Modeling, Experiments and Design 8, no. 10 (2025). https://doi.org/10.1007/s41939-025-01026-4.'
ieee: 'Y. Zhan, I. Caylak, R. Ostwald, E. Barth, and E. Uhlmann, “Damage-incorporated
four-step mean-field method for simulating CFRP machining: a novel algorithmic
approach,” Multiscale and Multidisciplinary Modeling, Experiments and Design,
vol. 8, no. 10, Art. no. 434, 2025, doi: 10.1007/s41939-025-01026-4.'
mla: 'Zhan, Yingjie, et al. “Damage-Incorporated Four-Step Mean-Field Method for
Simulating CFRP Machining: A Novel Algorithmic Approach.” Multiscale and Multidisciplinary
Modeling, Experiments and Design, vol. 8, no. 10, 434, Springer Science and
Business Media LLC, 2025, doi:10.1007/s41939-025-01026-4.'
short: Y. Zhan, I. Caylak, R. Ostwald, E. Barth, E. Uhlmann, Multiscale and Multidisciplinary
Modeling, Experiments and Design 8 (2025).
date_created: 2025-09-05T07:40:31Z
date_updated: 2025-10-20T12:05:57Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1007/s41939-025-01026-4
intvolume: ' 8'
issue: '10'
language:
- iso: eng
publication: Multiscale and Multidisciplinary Modeling, Experiments and Design
publication_identifier:
issn:
- 2520-8160
- 2520-8179
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: 'Damage-incorporated four-step mean-field method for simulating CFRP machining:
a novel algorithmic approach'
type: journal_article
user_id: '85414'
volume: 8
year: '2025'
...
---
_id: '63662'
abstract:
- lang: eng
text: The accurate prediction of crack initiation and propagation is essential
for assessing the structural integrity of mechanically joined components and other
complex assemblies. To overcome the limitations of existing finite element tools,
a modular Python framework has been developed to automate three-dimensional crack
growth simulations. The program combines geometric reconstruction, adaptive remeshing,
and the numerical evaluation of fracture mechanics parameters within a single,
fully automated workflow. The framework builds on open-source components and remains
solver-independent, enabling straightforward integration with commercial or research
finite element codes. A dedicated sequence of modules performs all required steps,
from mesh separation and crack insertion to local submodeling, stress and displacement
mapping, and iterative crack-front update, without manual interaction. The methodology
was verified using a mini-compact tension (Mini-CT) specimen as a benchmark case.
The numerical results demonstrate the accurate reproduction of stress intensity
factors and energy release rates while achieving high computational efficiency
through localized refinement. The developed approach provides a robust basis for
crack growth simulations of geometrically complex or residual stress-affected
structures. Its high degree of automation and flexibility makes it particularly
suited for analyzing cracks in clinched and riveted joints, supporting the predictive
design and durability assessment of joined lightweight structures.
article_number: '384'
author:
- first_name: Sven
full_name: Krome, Sven
id: '57245'
last_name: Krome
- first_name: Tobias
full_name: Duffe, Tobias
id: '41322'
last_name: Duffe
- first_name: Gunter
full_name: Kullmer, Gunter
id: '291'
last_name: Kullmer
- first_name: Britta
full_name: Schramm, Britta
id: '4668'
last_name: Schramm
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
citation:
ama: Krome S, Duffe T, Kullmer G, Schramm B, Ostwald R. Validation and Verification
of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D. Applied
Sciences. 2025;16(1). doi:10.3390/app16010384
apa: Krome, S., Duffe, T., Kullmer, G., Schramm, B., & Ostwald, R. (2025). Validation
and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D.
Applied Sciences, 16(1), Article 384. https://doi.org/10.3390/app16010384
bibtex: '@article{Krome_Duffe_Kullmer_Schramm_Ostwald_2025, title={Validation and
Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D},
volume={16}, DOI={10.3390/app16010384},
number={1384}, journal={Applied Sciences}, publisher={MDPI AG}, author={Krome,
Sven and Duffe, Tobias and Kullmer, Gunter and Schramm, Britta and Ostwald, Richard},
year={2025} }'
chicago: Krome, Sven, Tobias Duffe, Gunter Kullmer, Britta Schramm, and Richard
Ostwald. “Validation and Verification of Novel Three-Dimensional Crack Growth
Simulation Software GmshCrack3D.” Applied Sciences 16, no. 1 (2025). https://doi.org/10.3390/app16010384.
ieee: 'S. Krome, T. Duffe, G. Kullmer, B. Schramm, and R. Ostwald, “Validation and
Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D,”
Applied Sciences, vol. 16, no. 1, Art. no. 384, 2025, doi: 10.3390/app16010384.'
mla: Krome, Sven, et al. “Validation and Verification of Novel Three-Dimensional
Crack Growth Simulation Software GmshCrack3D.” Applied Sciences, vol. 16,
no. 1, 384, MDPI AG, 2025, doi:10.3390/app16010384.
short: S. Krome, T. Duffe, G. Kullmer, B. Schramm, R. Ostwald, Applied Sciences
16 (2025).
date_created: 2026-01-20T08:47:40Z
date_updated: 2026-03-30T11:00:39Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.3390/app16010384
intvolume: ' 16'
issue: '1'
language:
- iso: eng
project:
- _id: '132'
name: TRR 285 - Project Area B
publication: Applied Sciences
publication_identifier:
issn:
- 2076-3417
publication_status: published
publisher: MDPI AG
quality_controlled: '1'
status: public
title: Validation and Verification of Novel Three-Dimensional Crack Growth Simulation
Software GmshCrack3D
type: journal_article
user_id: '57245'
volume: 16
year: '2025'
...
---
_id: '63764'
author:
- first_name: Deborah
full_name: Weiß, Deborah
id: '45673'
last_name: Weiß
- first_name: Sven
full_name: Krome, Sven
id: '57245'
last_name: Krome
- first_name: Tobias
full_name: Duffe, Tobias
id: '41322'
last_name: Duffe
- first_name: Gunter
full_name: Kullmer, Gunter
id: '291'
last_name: Kullmer
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
citation:
ama: Weiß D, Krome S, Duffe T, Kullmer G, Ostwald R. Experimentelle Ermittlung
von Rissablenkungswinkeln Bei Außerphasiger Mixed-Mode-Belastung Mittels Einer
Neuartigen Probengeometrie. LibreCat University; 2025. doi:https://doi.org/10.48447/BR-2025-490
apa: Weiß, D., Krome, S., Duffe, T., Kullmer, G., & Ostwald, R. (2025). Experimentelle
Ermittlung von Rissablenkungswinkeln bei außerphasiger Mixed-Mode-Belastung mittels
einer neuartigen Probengeometrie. LibreCat University. https://doi.org/10.48447/BR-2025-490
bibtex: '@book{Weiß_Krome_Duffe_Kullmer_Ostwald_2025, title={Experimentelle Ermittlung
von Rissablenkungswinkeln bei außerphasiger Mixed-Mode-Belastung mittels einer
neuartigen Probengeometrie}, DOI={https://doi.org/10.48447/BR-2025-490},
publisher={LibreCat University}, author={Weiß, Deborah and Krome, Sven and Duffe,
Tobias and Kullmer, Gunter and Ostwald, Richard}, year={2025} }'
chicago: Weiß, Deborah, Sven Krome, Tobias Duffe, Gunter Kullmer, and Richard Ostwald.
Experimentelle Ermittlung von Rissablenkungswinkeln Bei Außerphasiger Mixed-Mode-Belastung
Mittels Einer Neuartigen Probengeometrie. LibreCat University, 2025. https://doi.org/10.48447/BR-2025-490.
ieee: D. Weiß, S. Krome, T. Duffe, G. Kullmer, and R. Ostwald, Experimentelle
Ermittlung von Rissablenkungswinkeln bei außerphasiger Mixed-Mode-Belastung mittels
einer neuartigen Probengeometrie. LibreCat University, 2025.
mla: Weiß, Deborah, et al. Experimentelle Ermittlung von Rissablenkungswinkeln
Bei Außerphasiger Mixed-Mode-Belastung Mittels Einer Neuartigen Probengeometrie.
LibreCat University, 2025, doi:https://doi.org/10.48447/BR-2025-490.
short: D. Weiß, S. Krome, T. Duffe, G. Kullmer, R. Ostwald, Experimentelle Ermittlung
von Rissablenkungswinkeln Bei Außerphasiger Mixed-Mode-Belastung Mittels Einer
Neuartigen Probengeometrie, LibreCat University, 2025.
date_created: 2026-01-27T15:33:53Z
date_updated: 2026-03-30T10:59:38Z
department:
- _id: '143'
doi: https://doi.org/10.48447/BR-2025-490
project:
- _id: '132'
name: TRR 285 - Project Area B
publisher: LibreCat University
status: public
title: Experimentelle Ermittlung von Rissablenkungswinkeln bei außerphasiger Mixed-Mode-Belastung
mittels einer neuartigen Probengeometrie
type: research_data
user_id: '57245'
year: '2025'
...
---
_id: '65221'
author:
- first_name: Gunter
full_name: Kullmer, Gunter
id: '291'
last_name: Kullmer
- first_name: Deborah
full_name: Weiß, Deborah
id: '45673'
last_name: Weiß
- first_name: Tobias
full_name: Duffe, Tobias
id: '41322'
last_name: Duffe
- first_name: Britta
full_name: Schramm, Britta
id: '4668'
last_name: Schramm
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
citation:
ama: Kullmer G, Weiß D, Duffe T, Schramm B, Ostwald R. BESCHREIBUNG DES R- UND
DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS BEI EXPERIMENTELL BESTIMMTEN
RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ. LibreCat University; 2025.
doi:https://doi.org/10.48447/BR-2025-492
apa: Kullmer, G., Weiß, D., Duffe, T., Schramm, B., & Ostwald, R. (2025). BESCHREIBUNG
DES R- UND DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS BEI EXPERIMENTELL
BESTIMMTEN RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ. LibreCat University.
https://doi.org/10.48447/BR-2025-492
bibtex: '@book{Kullmer_Weiß_Duffe_Schramm_Ostwald_2025, title={BESCHREIBUNG DES
R- UND DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS BEI EXPERIMENTELL
BESTIMMTEN RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ}, DOI={https://doi.org/10.48447/BR-2025-492},
publisher={LibreCat University}, author={Kullmer, Gunter and Weiß, Deborah and
Duffe, Tobias and Schramm, Britta and Ostwald, Richard}, year={2025} }'
chicago: Kullmer, Gunter, Deborah Weiß, Tobias Duffe, Britta Schramm, and Richard
Ostwald. BESCHREIBUNG DES R- UND DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS
BEI EXPERIMENTELL BESTIMMTEN RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ.
LibreCat University, 2025. https://doi.org/10.48447/BR-2025-492.
ieee: G. Kullmer, D. Weiß, T. Duffe, B. Schramm, and R. Ostwald, BESCHREIBUNG
DES R- UND DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS BEI EXPERIMENTELL
BESTIMMTEN RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ. LibreCat University,
2025.
mla: Kullmer, Gunter, et al. BESCHREIBUNG DES R- UND DES TEMPERATUREINFLUSSES
SOWIE DES EINLAUFVERHALTENS BEI EXPERIMENTELL BESTIMMTEN RISSFORTSCHRITTSKURVEN
MIT DEM EXPONENTIALANSATZ. LibreCat University, 2025, doi:https://doi.org/10.48447/BR-2025-492.
short: G. Kullmer, D. Weiß, T. Duffe, B. Schramm, R. Ostwald, BESCHREIBUNG DES R-
UND DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS BEI EXPERIMENTELL BESTIMMTEN
RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ, LibreCat University, 2025.
date_created: 2026-03-30T11:00:23Z
date_updated: 2026-04-07T04:35:27Z
department:
- _id: '9'
- _id: '143'
doi: https://doi.org/10.48447/BR-2025-492
publisher: LibreCat University
status: public
title: BESCHREIBUNG DES R- UND DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS
BEI EXPERIMENTELL BESTIMMTEN RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ
type: research_data
user_id: '85414'
year: '2025'
...
---
_id: '58309'
abstract:
- lang: eng
text: 'This study evaluates four widely used fracture simulation methods,
comparing their computational expenses and implementation complexities within
the finite element (FE) framework when employed on heterogeneous solids. Fracture
methods considered encompass the intrinsic cohesive zone model (CZM) using zero-thickness
cohesive interface elements (CIEs), the standard phase-field fracture (SPFM) approach,
the cohesive phase-field fracture (CPFM) approach, and an innovative hybrid model.
The hybrid approach combines the CPFM fracture method with the CZM, specifically
applying the CZM within the interface zone. The finite element model studied is
characterized by three specific phases: inclusions, matrix, and the interface
zone. This case study serves as a potential template for meso- or micro-level
simulations involving a variety of composite materials. The thorough assessment
of these modeling techniques indicates that the CPFM approach stands out as the
most effective computational model, provided that the thickness of the interface
zone is not significantly smaller than that of the other phases. In materials
like concrete, which contain interfaces within their microstructure, the interface
thickness is notably small when compared to other phases. This leads to the hybrid
model standing as the most authentic finite element model, utilizing CIEs within
the interface to simulate interface debonding. A significant finding from this
investigation is that within the CPFM method, for a specific interface thickness,
convergence with the hybrid model can be observed. This suggests that the CPFM
fracture method could serve as a unified fracture approach for multiphase materials
when a specific interfacial thickness is used. In addition, this research provides
valuable insights that can advance efforts to fine-tune material microstructures.
An investigation of the influence of interfacial material properties, voids, and
the spatial arrangement of inclusions shows a pronounced effect of these parameters
on the fracture toughness of the material.'
article_number: '160'
author:
- first_name: Rasoul
full_name: Najafi Koopas, Rasoul
last_name: Najafi Koopas
- first_name: Shahed
full_name: Rezaei, Shahed
last_name: Rezaei
- first_name: Natalie
full_name: Rauter, Natalie
last_name: Rauter
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
- first_name: Rolf
full_name: Lammering, Rolf
last_name: Lammering
citation:
ama: 'Najafi Koopas R, Rezaei S, Rauter N, Ostwald R, Lammering R. Comparative Analysis
of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in
Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure
on the Fracture Properties. Applied Sciences. 2024;15(1). doi:10.3390/app15010160'
apa: 'Najafi Koopas, R., Rezaei, S., Rauter, N., Ostwald, R., & Lammering, R.
(2024). Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models
for Fracture Simulations in Multiphase Materials with Interfaces: Investigation
of the Influence of the Microstructure on the Fracture Properties. Applied
Sciences, 15(1), Article 160. https://doi.org/10.3390/app15010160'
bibtex: '@article{Najafi Koopas_Rezaei_Rauter_Ostwald_Lammering_2024, title={Comparative
Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations
in Multiphase Materials with Interfaces: Investigation of the Influence of the
Microstructure on the Fracture Properties}, volume={15}, DOI={10.3390/app15010160},
number={1160}, journal={Applied Sciences}, publisher={MDPI AG}, author={Najafi
Koopas, Rasoul and Rezaei, Shahed and Rauter, Natalie and Ostwald, Richard and
Lammering, Rolf}, year={2024} }'
chicago: 'Najafi Koopas, Rasoul, Shahed Rezaei, Natalie Rauter, Richard Ostwald,
and Rolf Lammering. “Comparative Analysis of Phase-Field and Intrinsic Cohesive
Zone Models for Fracture Simulations in Multiphase Materials with Interfaces:
Investigation of the Influence of the Microstructure on the Fracture Properties.”
Applied Sciences 15, no. 1 (2024). https://doi.org/10.3390/app15010160.'
ieee: 'R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, and R. Lammering, “Comparative
Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations
in Multiphase Materials with Interfaces: Investigation of the Influence of the
Microstructure on the Fracture Properties,” Applied Sciences, vol. 15,
no. 1, Art. no. 160, 2024, doi: 10.3390/app15010160.'
mla: 'Najafi Koopas, Rasoul, et al. “Comparative Analysis of Phase-Field and Intrinsic
Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces:
Investigation of the Influence of the Microstructure on the Fracture Properties.”
Applied Sciences, vol. 15, no. 1, 160, MDPI AG, 2024, doi:10.3390/app15010160.'
short: R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, R. Lammering, Applied
Sciences 15 (2024).
date_created: 2025-01-21T13:48:05Z
date_updated: 2025-02-14T10:52:55Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.3390/app15010160
intvolume: ' 15'
issue: '1'
language:
- iso: eng
publication: Applied Sciences
publication_identifier:
issn:
- 2076-3417
publication_status: published
publisher: MDPI AG
quality_controlled: '1'
status: public
title: 'Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for
Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the
Influence of the Microstructure on the Fracture Properties'
type: journal_article
user_id: '85414'
volume: 15
year: '2024'
...
---
_id: '62767'
abstract:
- lang: eng
text: "Abstract\r\n In this study, we
develop a novel multi-fidelity deep learning approach that transforms low-fidelity
solution maps into high-fidelity ones by incorporating parametric space information
into an autoencoder architecture. This method’s integration of parametric space
information significantly reduces the amount of training data needed to effectively
predict high-fidelity solutions from low-fidelity ones. In this study, we examine
a two-dimensional steady-state heat transfer analysis within a heterogeneous materials
microstructure. The heat conductivity coefficients for two different materials
are condensed from a 101 \r\n \r\n
\ $$\\times $$\r\n \r\n ×\r\n
\ \r\n \r\n 101
grid to smaller grids. We then solve the boundary value problem on the coarsest
grid using a pre-trained physics-informed neural operator network known as Finite
Operator Learning (FOL). The resulting low-fidelity solution is subsequently upscaled
back to a 101 \r\n \r\n $$\\times
$$\r\n \r\n
\ ×\r\n \r\n \r\n
\ 101 grid using a newly designed enhanced autoencoder.
The novelty of the developed enhanced autoencoder lies in the concatenation of
heat conductivity maps of different resolutions to the decoder segment in distinct
steps. Hence the developed algorithm is named microstructure-embedded autoencoder
(MEA). We compare the MEA outcomes with those from finite element methods, the
standard U-Net, and an interpolation approach as an upscaling technique. Our analysis
shows that MEA outperforms these methods in terms of computational efficiency
and error on representative test cases. As a result, the MEA serves as a potential
supplement to neural operator networks, effectively upscaling low-fidelity solutions
to high-fidelity while preserving critical details often lost in traditional upscaling
methods, such as sharp interfaces features lost in the context of interpolation
approaches."
author:
- first_name: Rasoul
full_name: Najafi Koopas, Rasoul
last_name: Najafi Koopas
- first_name: Shahed
full_name: Rezaei, Shahed
last_name: Rezaei
- first_name: Natalie
full_name: Rauter, Natalie
last_name: Rauter
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Rolf
full_name: Lammering, Rolf
last_name: Lammering
citation:
ama: Najafi Koopas R, Rezaei S, Rauter N, Ostwald R, Lammering R. Introducing a
microstructure-embedded autoencoder approach for reconstructing high-resolution
solution field data from a reduced parametric space. Computational Mechanics.
2024;75(4):1377-1406. doi:10.1007/s00466-024-02568-z
apa: Najafi Koopas, R., Rezaei, S., Rauter, N., Ostwald, R., & Lammering, R.
(2024). Introducing a microstructure-embedded autoencoder approach for reconstructing
high-resolution solution field data from a reduced parametric space. Computational
Mechanics, 75(4), 1377–1406. https://doi.org/10.1007/s00466-024-02568-z
bibtex: '@article{Najafi Koopas_Rezaei_Rauter_Ostwald_Lammering_2024, title={Introducing
a microstructure-embedded autoencoder approach for reconstructing high-resolution
solution field data from a reduced parametric space}, volume={75}, DOI={10.1007/s00466-024-02568-z},
number={4}, journal={Computational Mechanics}, publisher={Springer Science and
Business Media LLC}, author={Najafi Koopas, Rasoul and Rezaei, Shahed and Rauter,
Natalie and Ostwald, Richard and Lammering, Rolf}, year={2024}, pages={1377–1406}
}'
chicago: 'Najafi Koopas, Rasoul, Shahed Rezaei, Natalie Rauter, Richard Ostwald,
and Rolf Lammering. “Introducing a Microstructure-Embedded Autoencoder Approach
for Reconstructing High-Resolution Solution Field Data from a Reduced Parametric
Space.” Computational Mechanics 75, no. 4 (2024): 1377–1406. https://doi.org/10.1007/s00466-024-02568-z.'
ieee: 'R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, and R. Lammering, “Introducing
a microstructure-embedded autoencoder approach for reconstructing high-resolution
solution field data from a reduced parametric space,” Computational Mechanics,
vol. 75, no. 4, pp. 1377–1406, 2024, doi: 10.1007/s00466-024-02568-z.'
mla: Najafi Koopas, Rasoul, et al. “Introducing a Microstructure-Embedded Autoencoder
Approach for Reconstructing High-Resolution Solution Field Data from a Reduced
Parametric Space.” Computational Mechanics, vol. 75, no. 4, Springer Science
and Business Media LLC, 2024, pp. 1377–406, doi:10.1007/s00466-024-02568-z.
short: R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, R. Lammering, Computational
Mechanics 75 (2024) 1377–1406.
date_created: 2025-12-03T12:37:08Z
date_updated: 2025-12-03T12:51:26Z
department:
- _id: '952'
- _id: '321'
doi: 10.1007/s00466-024-02568-z
intvolume: ' 75'
issue: '4'
language:
- iso: eng
page: 1377-1406
publication: Computational Mechanics
publication_identifier:
issn:
- 0178-7675
- 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Introducing a microstructure-embedded autoencoder approach for reconstructing
high-resolution solution field data from a reduced parametric space
type: journal_article
user_id: '85414'
volume: 75
year: '2024'
...
---
_id: '62770'
abstract:
- lang: eng
text: AbstractThe open-source parameter identification
tool ADAPT (A diversely applicable parameter identification Tool) is integrated
with a machine learning-based approach for start value prediction in order to
calibrate a Gurson–Tvergaard–Needleman (GTN) and a Lemaitre damage model. As representative
example case-hardened steel 16MnCrS5 is elaborated. An artificial neural network
(ANN) is initially trained by using load–displacement curves derived from simulations
of a boundary value problem—instead of using data generated for homogeneous states
of deformation at material point or one-element level—with varying material parameter
combinations. The ANN is then employed so as to predict sets of material parameters
that already provide close solutions to the experiment. These predicted parameter
sets serve as starting values for a subsequent multi-objective parameter identification
by using ADAPT. ADAPT allows for the consideration of input data from multiple
scales, including integral data such as load–displacement curves, full-field data
such as displacement and strain fields, and high-resolution experimental void
data at the micro-scale. The influence of each data set on prediction quality
is analyzed. Using various types of input data introduces additional information,
enhancing prediction accuracy. The validation is carried out with respect to experimental
void measurements of forward rod extruded parts. The results demonstrate, by incorporating
void measurements in the optimization process, that it is possible to improve
the quantitative prediction of ductile damage in the sense of void area fractions
by factor 28 in forward rod extrusion.
author:
- first_name: Jan
full_name: Gerlach, Jan
last_name: Gerlach
- first_name: Robin
full_name: Schulte, Robin
last_name: Schulte
- first_name: Alexander
full_name: Schowtjak, Alexander
last_name: Schowtjak
- first_name: Till
full_name: Clausmeyer, Till
last_name: Clausmeyer
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: A. Erman
full_name: Tekkaya, A. Erman
last_name: Tekkaya
- first_name: Andreas
full_name: Menzel, Andreas
last_name: Menzel
citation:
ama: Gerlach J, Schulte R, Schowtjak A, et al. Enhancing damage prediction in bulk
metal forming through machine learning-assisted parameter identification. Archive
of Applied Mechanics. 2024;94(8):2217-2242. doi:10.1007/s00419-024-02634-1
apa: Gerlach, J., Schulte, R., Schowtjak, A., Clausmeyer, T., Ostwald, R., Tekkaya,
A. E., & Menzel, A. (2024). Enhancing damage prediction in bulk metal forming
through machine learning-assisted parameter identification. Archive of Applied
Mechanics, 94(8), 2217–2242. https://doi.org/10.1007/s00419-024-02634-1
bibtex: '@article{Gerlach_Schulte_Schowtjak_Clausmeyer_Ostwald_Tekkaya_Menzel_2024,
title={Enhancing damage prediction in bulk metal forming through machine learning-assisted
parameter identification}, volume={94}, DOI={10.1007/s00419-024-02634-1},
number={8}, journal={Archive of Applied Mechanics}, publisher={Springer Science
and Business Media LLC}, author={Gerlach, Jan and Schulte, Robin and Schowtjak,
Alexander and Clausmeyer, Till and Ostwald, Richard and Tekkaya, A. Erman and
Menzel, Andreas}, year={2024}, pages={2217–2242} }'
chicago: 'Gerlach, Jan, Robin Schulte, Alexander Schowtjak, Till Clausmeyer, Richard
Ostwald, A. Erman Tekkaya, and Andreas Menzel. “Enhancing Damage Prediction in
Bulk Metal Forming through Machine Learning-Assisted Parameter Identification.”
Archive of Applied Mechanics 94, no. 8 (2024): 2217–42. https://doi.org/10.1007/s00419-024-02634-1.'
ieee: 'J. Gerlach et al., “Enhancing damage prediction in bulk metal forming
through machine learning-assisted parameter identification,” Archive of Applied
Mechanics, vol. 94, no. 8, pp. 2217–2242, 2024, doi: 10.1007/s00419-024-02634-1.'
mla: Gerlach, Jan, et al. “Enhancing Damage Prediction in Bulk Metal Forming through
Machine Learning-Assisted Parameter Identification.” Archive of Applied Mechanics,
vol. 94, no. 8, Springer Science and Business Media LLC, 2024, pp. 2217–42, doi:10.1007/s00419-024-02634-1.
short: J. Gerlach, R. Schulte, A. Schowtjak, T. Clausmeyer, R. Ostwald, A.E. Tekkaya,
A. Menzel, Archive of Applied Mechanics 94 (2024) 2217–2242.
date_created: 2025-12-03T12:46:31Z
date_updated: 2025-12-03T12:50:41Z
department:
- _id: '952'
- _id: '321'
doi: 10.1007/s00419-024-02634-1
intvolume: ' 94'
issue: '8'
language:
- iso: eng
page: 2217-2242
publication: Archive of Applied Mechanics
publication_identifier:
issn:
- 0939-1533
- 1432-0681
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Enhancing damage prediction in bulk metal forming through machine learning-assisted
parameter identification
type: journal_article
user_id: '85414'
volume: 94
year: '2024'
...
---
_id: '62768'
article_number: '110675'
author:
- first_name: Rasoul
full_name: Najafi Koopas, Rasoul
last_name: Najafi Koopas
- first_name: Shahed
full_name: Rezaei, Shahed
last_name: Rezaei
- first_name: Natalie
full_name: Rauter, Natalie
last_name: Rauter
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Rolf
full_name: Lammering, Rolf
last_name: Lammering
citation:
ama: 'Najafi Koopas R, Rezaei S, Rauter N, Ostwald R, Lammering R. A spatiotemporal
deep learning framework for prediction of crack dynamics in heterogeneous solids:
Efficient mapping of concrete microstructures to its fracture properties. Engineering
Fracture Mechanics. 2024;314. doi:10.1016/j.engfracmech.2024.110675'
apa: 'Najafi Koopas, R., Rezaei, S., Rauter, N., Ostwald, R., & Lammering, R.
(2024). A spatiotemporal deep learning framework for prediction of crack dynamics
in heterogeneous solids: Efficient mapping of concrete microstructures to its
fracture properties. Engineering Fracture Mechanics, 314, Article
110675. https://doi.org/10.1016/j.engfracmech.2024.110675'
bibtex: '@article{Najafi Koopas_Rezaei_Rauter_Ostwald_Lammering_2024, title={A spatiotemporal
deep learning framework for prediction of crack dynamics in heterogeneous solids:
Efficient mapping of concrete microstructures to its fracture properties}, volume={314},
DOI={10.1016/j.engfracmech.2024.110675},
number={110675}, journal={Engineering Fracture Mechanics}, publisher={Elsevier
BV}, author={Najafi Koopas, Rasoul and Rezaei, Shahed and Rauter, Natalie and
Ostwald, Richard and Lammering, Rolf}, year={2024} }'
chicago: 'Najafi Koopas, Rasoul, Shahed Rezaei, Natalie Rauter, Richard Ostwald,
and Rolf Lammering. “A Spatiotemporal Deep Learning Framework for Prediction of
Crack Dynamics in Heterogeneous Solids: Efficient Mapping of Concrete Microstructures
to Its Fracture Properties.” Engineering Fracture Mechanics 314 (2024).
https://doi.org/10.1016/j.engfracmech.2024.110675.'
ieee: 'R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, and R. Lammering, “A
spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous
solids: Efficient mapping of concrete microstructures to its fracture properties,”
Engineering Fracture Mechanics, vol. 314, Art. no. 110675, 2024, doi: 10.1016/j.engfracmech.2024.110675.'
mla: 'Najafi Koopas, Rasoul, et al. “A Spatiotemporal Deep Learning Framework for
Prediction of Crack Dynamics in Heterogeneous Solids: Efficient Mapping of Concrete
Microstructures to Its Fracture Properties.” Engineering Fracture Mechanics,
vol. 314, 110675, Elsevier BV, 2024, doi:10.1016/j.engfracmech.2024.110675.'
short: R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, R. Lammering, Engineering
Fracture Mechanics 314 (2024).
date_created: 2025-12-03T12:40:42Z
date_updated: 2025-12-03T12:51:12Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.engfracmech.2024.110675
intvolume: ' 314'
language:
- iso: eng
publication: Engineering Fracture Mechanics
publication_identifier:
issn:
- 0013-7944
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: 'A spatiotemporal deep learning framework for prediction of crack dynamics
in heterogeneous solids: Efficient mapping of concrete microstructures to its fracture
properties'
type: journal_article
user_id: '85414'
volume: 314
year: '2024'
...
---
_id: '62771'
article_number: '104854'
author:
- first_name: Robin
full_name: Schulte, Robin
last_name: Schulte
- first_name: Cavid
full_name: Karca, Cavid
last_name: Karca
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Andreas
full_name: Menzel, Andreas
last_name: Menzel
citation:
ama: Schulte R, Karca C, Ostwald R, Menzel A. Machine learning-assisted parameter
identification for constitutive models based on concatenated loading path sequences.
European Journal of Mechanics - A/Solids. 2022;98. doi:10.1016/j.euromechsol.2022.104854
apa: Schulte, R., Karca, C., Ostwald, R., & Menzel, A. (2022). Machine learning-assisted
parameter identification for constitutive models based on concatenated loading
path sequences. European Journal of Mechanics - A/Solids, 98, Article
104854. https://doi.org/10.1016/j.euromechsol.2022.104854
bibtex: '@article{Schulte_Karca_Ostwald_Menzel_2022, title={Machine learning-assisted
parameter identification for constitutive models based on concatenated loading
path sequences}, volume={98}, DOI={10.1016/j.euromechsol.2022.104854},
number={104854}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier
BV}, author={Schulte, Robin and Karca, Cavid and Ostwald, Richard and Menzel,
Andreas}, year={2022} }'
chicago: Schulte, Robin, Cavid Karca, Richard Ostwald, and Andreas Menzel. “Machine
Learning-Assisted Parameter Identification for Constitutive Models Based on Concatenated
Loading Path Sequences.” European Journal of Mechanics - A/Solids 98 (2022).
https://doi.org/10.1016/j.euromechsol.2022.104854.
ieee: 'R. Schulte, C. Karca, R. Ostwald, and A. Menzel, “Machine learning-assisted
parameter identification for constitutive models based on concatenated loading
path sequences,” European Journal of Mechanics - A/Solids, vol. 98, Art.
no. 104854, 2022, doi: 10.1016/j.euromechsol.2022.104854.'
mla: Schulte, Robin, et al. “Machine Learning-Assisted Parameter Identification
for Constitutive Models Based on Concatenated Loading Path Sequences.” European
Journal of Mechanics - A/Solids, vol. 98, 104854, Elsevier BV, 2022, doi:10.1016/j.euromechsol.2022.104854.
short: R. Schulte, C. Karca, R. Ostwald, A. Menzel, European Journal of Mechanics
- A/Solids 98 (2022).
date_created: 2025-12-03T12:49:17Z
date_updated: 2025-12-03T12:50:06Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.euromechsol.2022.104854
intvolume: ' 98'
language:
- iso: eng
publication: European Journal of Mechanics - A/Solids
publication_identifier:
issn:
- 0997-7538
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Machine learning-assisted parameter identification for constitutive models
based on concatenated loading path sequences
type: journal_article
user_id: '85414'
volume: 98
year: '2022'
...
---
_id: '62773'
abstract:
- lang: eng
text: AbstractA gradient‐enhanced damage model
is combined with finite viscoelasticity and implemented in an Abaqus user subroutine,
exploiting the heat equation solution capabilities for the damage regularisation,
in order to simulate soft polymers. This regularised damage approach provides
the advantage of mesh independent results and avoids localisation effects. In
this work, a self‐diagnostic poly(dimethylsiloxane) (PDMS) elastomer is chosen
as an example. To this end, an efficient two‐step parameter identification framework
is developed to calibrate the corresponding model parameters.
article_number: e202000215
author:
- first_name: Robin
full_name: Schulte, Robin
last_name: Schulte
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Andreas
full_name: Menzel, Andreas
last_name: Menzel
citation:
ama: Schulte R, Ostwald R, Menzel A. A computational framework for gradient‐enhanced
damage – implementation and applications. PAMM. 2021;20(1). doi:10.1002/pamm.202000215
apa: Schulte, R., Ostwald, R., & Menzel, A. (2021). A computational framework
for gradient‐enhanced damage – implementation and applications. PAMM, 20(1),
Article e202000215. https://doi.org/10.1002/pamm.202000215
bibtex: '@article{Schulte_Ostwald_Menzel_2021, title={A computational framework
for gradient‐enhanced damage – implementation and applications}, volume={20},
DOI={10.1002/pamm.202000215},
number={1e202000215}, journal={PAMM}, publisher={Wiley}, author={Schulte, Robin
and Ostwald, Richard and Menzel, Andreas}, year={2021} }'
chicago: Schulte, Robin, Richard Ostwald, and Andreas Menzel. “A Computational Framework
for Gradient‐enhanced Damage – Implementation and Applications.” PAMM 20,
no. 1 (2021). https://doi.org/10.1002/pamm.202000215.
ieee: 'R. Schulte, R. Ostwald, and A. Menzel, “A computational framework for gradient‐enhanced
damage – implementation and applications,” PAMM, vol. 20, no. 1, Art. no.
e202000215, 2021, doi: 10.1002/pamm.202000215.'
mla: Schulte, Robin, et al. “A Computational Framework for Gradient‐enhanced Damage
– Implementation and Applications.” PAMM, vol. 20, no. 1, e202000215, Wiley,
2021, doi:10.1002/pamm.202000215.
short: R. Schulte, R. Ostwald, A. Menzel, PAMM 20 (2021).
date_created: 2025-12-03T12:52:35Z
date_updated: 2025-12-03T12:53:32Z
department:
- _id: '952'
- _id: '321'
doi: 10.1002/pamm.202000215
intvolume: ' 20'
issue: '1'
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A computational framework for gradient‐enhanced damage – implementation and
applications
type: journal_article
user_id: '85414'
volume: 20
year: '2021'
...
---
_id: '62772'
article_number: '106840'
author:
- first_name: Alexander
full_name: Schowtjak, Alexander
last_name: Schowtjak
- first_name: Robin
full_name: Schulte, Robin
last_name: Schulte
- first_name: Till
full_name: Clausmeyer, Till
last_name: Clausmeyer
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: A. Erman
full_name: Tekkaya, A. Erman
last_name: Tekkaya
- first_name: Andreas
full_name: Menzel, Andreas
last_name: Menzel
citation:
ama: 'Schowtjak A, Schulte R, Clausmeyer T, Ostwald R, Tekkaya AE, Menzel A. ADAPT
— A Diversely Applicable Parameter Identification Tool: Overview and full-field
application examples. International Journal of Mechanical Sciences. 2021;213.
doi:10.1016/j.ijmecsci.2021.106840'
apa: 'Schowtjak, A., Schulte, R., Clausmeyer, T., Ostwald, R., Tekkaya, A. E., &
Menzel, A. (2021). ADAPT — A Diversely Applicable Parameter Identification Tool:
Overview and full-field application examples. International Journal of Mechanical
Sciences, 213, Article 106840. https://doi.org/10.1016/j.ijmecsci.2021.106840'
bibtex: '@article{Schowtjak_Schulte_Clausmeyer_Ostwald_Tekkaya_Menzel_2021, title={ADAPT
— A Diversely Applicable Parameter Identification Tool: Overview and full-field
application examples}, volume={213}, DOI={10.1016/j.ijmecsci.2021.106840},
number={106840}, journal={International Journal of Mechanical Sciences}, publisher={Elsevier
BV}, author={Schowtjak, Alexander and Schulte, Robin and Clausmeyer, Till and
Ostwald, Richard and Tekkaya, A. Erman and Menzel, Andreas}, year={2021} }'
chicago: 'Schowtjak, Alexander, Robin Schulte, Till Clausmeyer, Richard Ostwald,
A. Erman Tekkaya, and Andreas Menzel. “ADAPT — A Diversely Applicable Parameter
Identification Tool: Overview and Full-Field Application Examples.” International
Journal of Mechanical Sciences 213 (2021). https://doi.org/10.1016/j.ijmecsci.2021.106840.'
ieee: 'A. Schowtjak, R. Schulte, T. Clausmeyer, R. Ostwald, A. E. Tekkaya, and A.
Menzel, “ADAPT — A Diversely Applicable Parameter Identification Tool: Overview
and full-field application examples,” International Journal of Mechanical Sciences,
vol. 213, Art. no. 106840, 2021, doi: 10.1016/j.ijmecsci.2021.106840.'
mla: 'Schowtjak, Alexander, et al. “ADAPT — A Diversely Applicable Parameter Identification
Tool: Overview and Full-Field Application Examples.” International Journal
of Mechanical Sciences, vol. 213, 106840, Elsevier BV, 2021, doi:10.1016/j.ijmecsci.2021.106840.'
short: A. Schowtjak, R. Schulte, T. Clausmeyer, R. Ostwald, A.E. Tekkaya, A. Menzel,
International Journal of Mechanical Sciences 213 (2021).
date_created: 2025-12-03T12:51:45Z
date_updated: 2025-12-03T12:53:27Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.ijmecsci.2021.106840
intvolume: ' 213'
language:
- iso: eng
publication: International Journal of Mechanical Sciences
publication_identifier:
issn:
- 0020-7403
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: 'ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and
full-field application examples'
type: journal_article
user_id: '85414'
volume: 213
year: '2021'
...
---
_id: '62777'
abstract:
- lang: eng
text: The simulation of complex engineering components and structures under
loads requires the formulation and adequate calibration of appropriate material
models. This work introduces an optimisation-based scheme for the calibration
of viscoelastic material models that are coupled to gradient-enhanced damage in
a finite strain setting. The parameter identification scheme is applied to a self-diagnostic
poly(dimethylsiloxane) (PDMS) elastomer, where so-called mechanophore units are
incorporated within the polymeric microstructure. The present contribution, however,
focuses on the purely mechanical response of the material, combining experiments
with homogeneous and inhomogeneous states of deformation. In effect, the results
provided lay the groundwork for a future extension of the proposed parameter identification
framework, where additional field-data provided by the self-diagnostic capabilities
can be incorporated into the optimisation scheme.
article_number: '3156'
author:
- first_name: Robin
full_name: Schulte, Robin
last_name: Schulte
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Andreas
full_name: Menzel, Andreas
last_name: Menzel
citation:
ama: Schulte R, Ostwald R, Menzel A. Gradient-Enhanced Modelling of Damage for Rate-Dependent
Material Behaviour—A Parameter Identification Framework. Materials. 2020;13(14).
doi:10.3390/ma13143156
apa: Schulte, R., Ostwald, R., & Menzel, A. (2020). Gradient-Enhanced Modelling
of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework.
Materials, 13(14), Article 3156. https://doi.org/10.3390/ma13143156
bibtex: '@article{Schulte_Ostwald_Menzel_2020, title={Gradient-Enhanced Modelling
of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework},
volume={13}, DOI={10.3390/ma13143156},
number={143156}, journal={Materials}, publisher={MDPI AG}, author={Schulte, Robin
and Ostwald, Richard and Menzel, Andreas}, year={2020} }'
chicago: Schulte, Robin, Richard Ostwald, and Andreas Menzel. “Gradient-Enhanced
Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification
Framework.” Materials 13, no. 14 (2020). https://doi.org/10.3390/ma13143156.
ieee: 'R. Schulte, R. Ostwald, and A. Menzel, “Gradient-Enhanced Modelling of Damage
for Rate-Dependent Material Behaviour—A Parameter Identification Framework,” Materials,
vol. 13, no. 14, Art. no. 3156, 2020, doi: 10.3390/ma13143156.'
mla: Schulte, Robin, et al. “Gradient-Enhanced Modelling of Damage for Rate-Dependent
Material Behaviour—A Parameter Identification Framework.” Materials, vol.
13, no. 14, 3156, MDPI AG, 2020, doi:10.3390/ma13143156.
short: R. Schulte, R. Ostwald, A. Menzel, Materials 13 (2020).
date_created: 2025-12-03T13:00:05Z
date_updated: 2025-12-03T13:00:55Z
department:
- _id: '952'
- _id: '321'
doi: 10.3390/ma13143156
intvolume: ' 13'
issue: '14'
language:
- iso: eng
publication: Materials
publication_identifier:
issn:
- 1996-1944
publication_status: published
publisher: MDPI AG
quality_controlled: '1'
status: public
title: Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A
Parameter Identification Framework
type: journal_article
user_id: '85414'
volume: 13
year: '2020'
...
---
_id: '62778'
author:
- first_name: Kai
full_name: Langenfeld, Kai
last_name: Langenfeld
- first_name: Alexander
full_name: Schowtjak, Alexander
last_name: Schowtjak
- first_name: Robin
full_name: Schulte, Robin
last_name: Schulte
- first_name: Oliver
full_name: Hering, Oliver
last_name: Hering
- first_name: Kerstin
full_name: Möhring, Kerstin
last_name: Möhring
- first_name: Till
full_name: Clausmeyer, Till
last_name: Clausmeyer
- first_name: Richard
full_name: Ostwald, Richard
id: '106876'
last_name: Ostwald
orcid: 0000-0003-2147-8444
- first_name: Frank
full_name: Walther, Frank
last_name: Walther
- first_name: A. Erman
full_name: Tekkaya, A. Erman
last_name: Tekkaya
- first_name: Jörn
full_name: Mosler, Jörn
last_name: Mosler
citation:
ama: Langenfeld K, Schowtjak A, Schulte R, et al. Influence of anisotropic damage
evolution on cold forging. Production Engineering. 2020;14(1):115-121.
doi:10.1007/s11740-019-00942-y
apa: Langenfeld, K., Schowtjak, A., Schulte, R., Hering, O., Möhring, K., Clausmeyer,
T., Ostwald, R., Walther, F., Tekkaya, A. E., & Mosler, J. (2020). Influence
of anisotropic damage evolution on cold forging. Production Engineering,
14(1), 115–121. https://doi.org/10.1007/s11740-019-00942-y
bibtex: '@article{Langenfeld_Schowtjak_Schulte_Hering_Möhring_Clausmeyer_Ostwald_Walther_Tekkaya_Mosler_2020,
title={Influence of anisotropic damage evolution on cold forging}, volume={14},
DOI={10.1007/s11740-019-00942-y},
number={1}, journal={Production Engineering}, publisher={Springer Science and
Business Media LLC}, author={Langenfeld, Kai and Schowtjak, Alexander and Schulte,
Robin and Hering, Oliver and Möhring, Kerstin and Clausmeyer, Till and Ostwald,
Richard and Walther, Frank and Tekkaya, A. Erman and Mosler, Jörn}, year={2020},
pages={115–121} }'
chicago: 'Langenfeld, Kai, Alexander Schowtjak, Robin Schulte, Oliver Hering, Kerstin
Möhring, Till Clausmeyer, Richard Ostwald, Frank Walther, A. Erman Tekkaya, and
Jörn Mosler. “Influence of Anisotropic Damage Evolution on Cold Forging.” Production
Engineering 14, no. 1 (2020): 115–21. https://doi.org/10.1007/s11740-019-00942-y.'
ieee: 'K. Langenfeld et al., “Influence of anisotropic damage evolution on
cold forging,” Production Engineering, vol. 14, no. 1, pp. 115–121, 2020,
doi: 10.1007/s11740-019-00942-y.'
mla: Langenfeld, Kai, et al. “Influence of Anisotropic Damage Evolution on Cold
Forging.” Production Engineering, vol. 14, no. 1, Springer Science and
Business Media LLC, 2020, pp. 115–21, doi:10.1007/s11740-019-00942-y.
short: K. Langenfeld, A. Schowtjak, R. Schulte, O. Hering, K. Möhring, T. Clausmeyer,
R. Ostwald, F. Walther, A.E. Tekkaya, J. Mosler, Production Engineering 14 (2020)
115–121.
date_created: 2025-12-03T13:01:20Z
date_updated: 2025-12-03T13:02:23Z
department:
- _id: '952'
- _id: '321'
doi: 10.1007/s11740-019-00942-y
intvolume: ' 14'
issue: '1'
language:
- iso: eng
page: 115-121
publication: Production Engineering
publication_identifier:
issn:
- 0944-6524
- 1863-7353
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Influence of anisotropic damage evolution on cold forging
type: journal_article
user_id: '85414'
volume: 14
year: '2020'
...