---
_id: '52217'
abstract:
- lang: eng
text: AbstractPolycarbonate (PC) is an amorphous
polymer that is an extremely robust material with a high tenacity, and thus suitable
for a lightweight construction with glass‐like transparency. Due to these advantageous
properties, PC is often used in industry for example in medical devices, automotive
headlamps, sporting equipment, electronics, and a variety of other products. PC
is often subjected to uniaxial and biaxial loading conditions. Therefore, reliable
material models have to take into account the various resulting experimental effects.
For those reasons, we investigate PC specimens under uniaxial and biaxial loading
by using different stretch rates and loading scenarios. In addition to that, we
propose methods for optical measurement of local stretches to obtain the approximated
local true stress. In future work, the displacement fields and the resulting reaction
forces will be used for parameter identification of constitutive equations.
author:
- first_name: Ayoub
full_name: Hamdoun, Ayoub
last_name: Hamdoun
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Hamdoun A, Mahnken R. Experimental investigations of uniaxial and biaxial cold
stretching within PC‐films and bars using optical measurements. PAMM. Published
online 2024. doi:10.1002/pamm.202300114
apa: Hamdoun, A., & Mahnken, R. (2024). Experimental investigations of uniaxial
and biaxial cold stretching within PC‐films and bars using optical measurements.
PAMM. https://doi.org/10.1002/pamm.202300114
bibtex: '@article{Hamdoun_Mahnken_2024, title={Experimental investigations of uniaxial
and biaxial cold stretching within PC‐films and bars using optical measurements},
DOI={10.1002/pamm.202300114},
journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf},
year={2024} }'
chicago: Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial
and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.”
PAMM, 2024. https://doi.org/10.1002/pamm.202300114.
ieee: 'A. Hamdoun and R. Mahnken, “Experimental investigations of uniaxial and biaxial
cold stretching within PC‐films and bars using optical measurements,” PAMM,
2024, doi: 10.1002/pamm.202300114.'
mla: Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial
and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.”
PAMM, Wiley, 2024, doi:10.1002/pamm.202300114.
short: A. Hamdoun, R. Mahnken, PAMM (2024).
date_created: 2024-02-29T13:53:13Z
date_updated: 2024-02-29T13:58:38Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202300114
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Experimental investigations of uniaxial and biaxial cold stretching within
PC‐films and bars using optical measurements
type: journal_article
user_id: '335'
year: '2024'
...
---
_id: '52218'
article_number: '112642'
author:
- first_name: Peter
full_name: Lenz, Peter
last_name: Lenz
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Lenz P, Mahnken R. Multiscale simulation of polymer curing of composites combined
mean-field homogenisation methods at large strains. International Journal of
Solids and Structures. 2024;290. doi:10.1016/j.ijsolstr.2023.112642
apa: Lenz, P., & Mahnken, R. (2024). Multiscale simulation of polymer curing
of composites combined mean-field homogenisation methods at large strains. International
Journal of Solids and Structures, 290, Article 112642. https://doi.org/10.1016/j.ijsolstr.2023.112642
bibtex: '@article{Lenz_Mahnken_2024, title={Multiscale simulation of polymer curing
of composites combined mean-field homogenisation methods at large strains}, volume={290},
DOI={10.1016/j.ijsolstr.2023.112642},
number={112642}, journal={International Journal of Solids and Structures}, publisher={Elsevier
BV}, author={Lenz, Peter and Mahnken, Rolf}, year={2024} }'
chicago: Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing
of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” International
Journal of Solids and Structures 290 (2024). https://doi.org/10.1016/j.ijsolstr.2023.112642.
ieee: 'P. Lenz and R. Mahnken, “Multiscale simulation of polymer curing of composites
combined mean-field homogenisation methods at large strains,” International
Journal of Solids and Structures, vol. 290, Art. no. 112642, 2024, doi: 10.1016/j.ijsolstr.2023.112642.'
mla: Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of
Composites Combined Mean-Field Homogenisation Methods at Large Strains.” International
Journal of Solids and Structures, vol. 290, 112642, Elsevier BV, 2024, doi:10.1016/j.ijsolstr.2023.112642.
short: P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024).
date_created: 2024-02-29T13:57:56Z
date_updated: 2024-02-29T13:58:14Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.ijsolstr.2023.112642
intvolume: ' 290'
keyword:
- Applied Mathematics
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- General Materials Science
- Modeling and Simulation
language:
- iso: eng
publication: International Journal of Solids and Structures
publication_identifier:
issn:
- 0020-7683
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Multiscale simulation of polymer curing of composites combined mean-field homogenisation
methods at large strains
type: journal_article
user_id: '335'
volume: 290
year: '2024'
...
---
_id: '52233'
abstract:
- lang: eng
text: ELDIRK methods are defined to have an Explicit Last
stage in the general Butcher array of Diagonal Implicit Runge-Kutta
methods, with the consequence, that no additional system of equations must be
solved, compared to the embedded RK method. Two general formulations for second-
and third-order ELDIRK methods have been obtained recently in Mahnken [21] with
specific schemes, e.g. for the embedded implicit Euler method, the embedded trapezoidal-rule
and the embedded Ellsiepen method. In the first part of this paper, we investigate
some general stability characteristics of ELDIRK methods, and it will be shown
that the above specific RK schemes are not A-stable. Therefore, in the second
part, the above-mentioned general formulations are used for further stability
investigations, with the aim to construct new second- and third-order ELDIRK methods
which simultaneously are A-stable. Two numerical examples are concerned with the
curing for a thermosetting material and phase-field RVE modeling for crystallinity
and orientation. The numerical results confirm the theoretical results on convergence
order and stability.
author:
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: Hendrik
full_name: Westermann, Hendrik
id: '60816'
last_name: Westermann
orcid: 0000-0002-5034-9708
citation:
ama: Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal
implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. Published
online 2024. doi:10.1007/s00466-024-02442-y
apa: Mahnken, R., & Westermann, H. (2024). Construction of A-stable explicit
last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics.
https://doi.org/10.1007/s00466-024-02442-y
bibtex: '@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit
last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={10.1007/s00466-024-02442-y},
journal={Computational Mechanics}, publisher={Springer Science and Business Media
LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }'
chicago: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit
Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics,
2024. https://doi.org/10.1007/s00466-024-02442-y.
ieee: 'R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage
diagonal implicit Runge–Kutta (ELDIRK) methods,” Computational Mechanics,
2024, doi: 10.1007/s00466-024-02442-y.'
mla: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage
Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics,
Springer Science and Business Media LLC, 2024, doi:10.1007/s00466-024-02442-y.
short: R. Mahnken, H. Westermann, Computational Mechanics (2024).
date_created: 2024-03-03T13:23:28Z
date_updated: 2024-03-19T12:14:07Z
department:
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-024-02442-y
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
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: Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta
(ELDIRK) methods
type: journal_article
user_id: '335'
year: '2024'
...
---
_id: '42165'
abstract:
- lang: eng
text: AbstractComposite materials, such as fiber
reinforced polymers, become increasingly important due to their excellent mechanical
and lightweight properties. In this respect, this paper reports the characterization
of a unidirectional carbon fiber reinforced polymer composite material. Particularly,
the mechanical behavior of the overall composite and of the individual constituents
of the composite is investigated. To this end, tensile and shear tests are performed
for the composite. As a result, statistics for five transversely isotropic material
parameters can be established for the composite. For the description of the mechanical
properties of the constituents, tensile tests for the carbon fiber as well as
for the polymer matrix are carried out. In addition, the volume fraction of fibers
in the matrix is determined experimentally using an ashing technique and Archimedes’
principle. For the Young’s modulus of the fiber, the Young’s modulus and transverse
contraction of the matrix, as well as the volume fraction of the constituents,
statistics can be concluded. The resulting mechanical properties on both scales
are useful for the application and validation of different material models and
homogenization methods. Finally, in order to validate the obtained properties
in the future, inhomogeneous tests were performed, once a flat plate with a hole
and a flat plate with semicircular notches.
author:
- first_name: Eduard
full_name: Penner, Eduard
last_name: Penner
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Penner E, Caylak I, Mahnken R. Experimental Investigations of Carbon Fiber
Reinforced Polymer Composites and Their Constituents to Determine Their Elastic
Material Properties and Complementary Inhomogeneous Experiments with Local Strain
Considerations. Fibers and Polymers. Published online 2023. doi:10.1007/s12221-023-00122-x
apa: Penner, E., Caylak, I., & Mahnken, R. (2023). Experimental Investigations
of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine
Their Elastic Material Properties and Complementary Inhomogeneous Experiments
with Local Strain Considerations. Fibers and Polymers. https://doi.org/10.1007/s12221-023-00122-x
bibtex: '@article{Penner_Caylak_Mahnken_2023, title={Experimental Investigations
of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine
Their Elastic Material Properties and Complementary Inhomogeneous Experiments
with Local Strain Considerations}, DOI={10.1007/s12221-023-00122-x},
journal={Fibers and Polymers}, publisher={Springer Science and Business Media
LLC}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}, year={2023}
}'
chicago: Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “Experimental Investigations
of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine
Their Elastic Material Properties and Complementary Inhomogeneous Experiments
with Local Strain Considerations.” Fibers and Polymers, 2023. https://doi.org/10.1007/s12221-023-00122-x.
ieee: 'E. Penner, I. Caylak, and R. Mahnken, “Experimental Investigations of Carbon
Fiber Reinforced Polymer Composites and Their Constituents to Determine Their
Elastic Material Properties and Complementary Inhomogeneous Experiments with Local
Strain Considerations,” Fibers and Polymers, 2023, doi: 10.1007/s12221-023-00122-x.'
mla: Penner, Eduard, et al. “Experimental Investigations of Carbon Fiber Reinforced
Polymer Composites and Their Constituents to Determine Their Elastic Material
Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations.”
Fibers and Polymers, Springer Science and Business Media LLC, 2023, doi:10.1007/s12221-023-00122-x.
short: E. Penner, I. Caylak, R. Mahnken, Fibers and Polymers (2023).
date_created: 2023-02-16T12:37:11Z
date_updated: 2023-03-24T08:42:33Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s12221-023-00122-x
keyword:
- Polymers and Plastics
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
publication: Fibers and Polymers
publication_identifier:
issn:
- 1229-9197
- 1875-0052
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and
Their Constituents to Determine Their Elastic Material Properties and Complementary
Inhomogeneous Experiments with Local Strain Considerations
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '43095'
article_number: '116911'
author:
- first_name: Peter
full_name: Lenz, Peter
last_name: Lenz
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Lenz P, Mahnken R. Non-local integral-type damage combined to mean-field homogenization
methods for composites and its parallel implementation. Composite Structures.
Published online 2023. doi:10.1016/j.compstruct.2023.116911
apa: Lenz, P., & Mahnken, R. (2023). Non-local integral-type damage combined
to mean-field homogenization methods for composites and its parallel implementation.
Composite Structures, Article 116911. https://doi.org/10.1016/j.compstruct.2023.116911
bibtex: '@article{Lenz_Mahnken_2023, title={Non-local integral-type damage combined
to mean-field homogenization methods for composites and its parallel implementation},
DOI={10.1016/j.compstruct.2023.116911},
number={116911}, journal={Composite Structures}, publisher={Elsevier BV}, author={Lenz,
Peter and Mahnken, Rolf}, year={2023} }'
chicago: Lenz, Peter, and Rolf Mahnken. “Non-Local Integral-Type Damage Combined
to Mean-Field Homogenization Methods for Composites and Its Parallel Implementation.”
Composite Structures, 2023. https://doi.org/10.1016/j.compstruct.2023.116911.
ieee: 'P. Lenz and R. Mahnken, “Non-local integral-type damage combined to mean-field
homogenization methods for composites and its parallel implementation,” Composite
Structures, Art. no. 116911, 2023, doi: 10.1016/j.compstruct.2023.116911.'
mla: Lenz, Peter, and Rolf Mahnken. “Non-Local Integral-Type Damage Combined to
Mean-Field Homogenization Methods for Composites and Its Parallel Implementation.”
Composite Structures, 116911, Elsevier BV, 2023, doi:10.1016/j.compstruct.2023.116911.
short: P. Lenz, R. Mahnken, Composite Structures (2023).
date_created: 2023-03-24T08:35:59Z
date_updated: 2023-03-24T08:45:42Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruct.2023.116911
keyword:
- Civil and Structural Engineering
- Ceramics and Composites
language:
- iso: eng
publication: Composite Structures
publication_identifier:
issn:
- 0263-8223
publication_status: published
publisher: Elsevier BV
status: public
title: Non-local integral-type damage combined to mean-field homogenization methods
for composites and its parallel implementation
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '44888'
author:
- first_name: Peter
full_name: Lenz, Peter
last_name: Lenz
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Lenz P, Mahnken R. Thermo‐chemo‐mechanical modelling of a curing process combined
with mean‐field homogenization methods at large strains. PAMM. 2023;22(1).
doi:10.1002/pamm.202200214
apa: Lenz, P., & Mahnken, R. (2023). Thermo‐chemo‐mechanical modelling of a
curing process combined with mean‐field homogenization methods at large strains.
PAMM, 22(1). https://doi.org/10.1002/pamm.202200214
bibtex: '@article{Lenz_Mahnken_2023, title={Thermo‐chemo‐mechanical modelling of
a curing process combined with mean‐field homogenization methods at large strains},
volume={22}, DOI={10.1002/pamm.202200214},
number={1}, journal={PAMM}, publisher={Wiley}, author={Lenz, Peter and Mahnken,
Rolf}, year={2023} }'
chicago: Lenz, Peter, and Rolf Mahnken. “Thermo‐chemo‐mechanical Modelling of a
Curing Process Combined with Mean‐field Homogenization Methods at Large Strains.”
PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200214.
ieee: 'P. Lenz and R. Mahnken, “Thermo‐chemo‐mechanical modelling of a curing process
combined with mean‐field homogenization methods at large strains,” PAMM,
vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200214.'
mla: Lenz, Peter, and Rolf Mahnken. “Thermo‐chemo‐mechanical Modelling of a Curing
Process Combined with Mean‐field Homogenization Methods at Large Strains.” PAMM,
vol. 22, no. 1, Wiley, 2023, doi:10.1002/pamm.202200214.
short: P. Lenz, R. Mahnken, PAMM 22 (2023).
date_created: 2023-05-16T12:15:44Z
date_updated: 2023-05-16T12:17:50Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202200214
intvolume: ' 22'
issue: '1'
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field
homogenization methods at large strains
type: journal_article
user_id: '335'
volume: 22
year: '2023'
...
---
_id: '44887'
author:
- first_name: Chun
full_name: Cheng, Chun
last_name: Cheng
- first_name: Chunlei
full_name: Song, Chunlei
last_name: Song
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: Zhipeng
full_name: Yuan, Zhipeng
last_name: Yuan
- first_name: Liang
full_name: Yu, Liang
last_name: Yu
- first_name: Xiaozhe
full_name: Ju, Xiaozhe
last_name: Ju
citation:
ama: Cheng C, Song C, Mahnken R, Yuan Z, Yu L, Ju X. A Non-Linear Mean-Field Debonding
Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites. Published
online 2023.
apa: Cheng, C., Song, C., Mahnken, R., Yuan, Z., Yu, L., & Ju, X. (2023). A
Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre
Kinking in Ud Composites. Elsevier BV.
bibtex: '@article{Cheng_Song_Mahnken_Yuan_Yu_Ju_2023, title={A Non-Linear Mean-Field
Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites},
publisher={Elsevier BV}, author={Cheng, Chun and Song, Chunlei and Mahnken, Rolf
and Yuan, Zhipeng and Yu, Liang and Ju, Xiaozhe}, year={2023} }'
chicago: Cheng, Chun, Chunlei Song, Rolf Mahnken, Zhipeng Yuan, Liang Yu, and Xiaozhe
Ju. “A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis
of Fibre Kinking in Ud Composites.” Elsevier BV, 2023.
ieee: C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, and X. Ju, “A Non-Linear Mean-Field
Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites.”
Elsevier BV, 2023.
mla: Cheng, Chun, et al. A Non-Linear Mean-Field Debonding Model at Large Strains
for the Analysis of Fibre Kinking in Ud Composites. Elsevier BV, 2023.
short: C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, X. Ju, (2023).
date_created: 2023-05-16T12:10:06Z
date_updated: 2023-05-16T12:17:43Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
language:
- iso: eng
publication_status: published
publisher: Elsevier BV
status: public
title: A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of
Fibre Kinking in Ud Composites
type: preprint
user_id: '335'
year: '2023'
...
---
_id: '44891'
author:
- first_name: Hendrik
full_name: Westermann, Hendrik
id: '60816'
last_name: Westermann
orcid: 0000-0002-5034-9708
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Westermann H, Mahnken R. A thermodynamic framework for the phase‐field approach
considering carbide precipitation during phase transformations. PAMM. 2023;22(1).
doi:10.1002/pamm.202200080
apa: Westermann, H., & Mahnken, R. (2023). A thermodynamic framework for the
phase‐field approach considering carbide precipitation during phase transformations.
PAMM, 22(1). https://doi.org/10.1002/pamm.202200080
bibtex: '@article{Westermann_Mahnken_2023, title={A thermodynamic framework for
the phase‐field approach considering carbide precipitation during phase transformations},
volume={22}, DOI={10.1002/pamm.202200080},
number={1}, journal={PAMM}, publisher={Wiley}, author={Westermann, Hendrik and
Mahnken, Rolf}, year={2023} }'
chicago: Westermann, Hendrik, and Rolf Mahnken. “A Thermodynamic Framework for the
Phase‐field Approach Considering Carbide Precipitation during Phase Transformations.”
PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200080.
ieee: 'H. Westermann and R. Mahnken, “A thermodynamic framework for the phase‐field
approach considering carbide precipitation during phase transformations,” PAMM,
vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200080.'
mla: Westermann, Hendrik, and Rolf Mahnken. “A Thermodynamic Framework for the Phase‐field
Approach Considering Carbide Precipitation during Phase Transformations.” PAMM,
vol. 22, no. 1, Wiley, 2023, doi:10.1002/pamm.202200080.
short: H. Westermann, R. Mahnken, PAMM 22 (2023).
date_created: 2023-05-16T12:20:19Z
date_updated: 2023-05-16T12:21:15Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202200080
intvolume: ' 22'
issue: '1'
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A thermodynamic framework for the phase‐field approach considering carbide
precipitation during phase transformations
type: journal_article
user_id: '335'
volume: 22
year: '2023'
...
---
_id: '44892'
author:
- first_name: Ayoub
full_name: Hamdoun, Ayoub
last_name: Hamdoun
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Hamdoun A, Mahnken R. A finite strain gradient theory for viscoplasticity by
means of micromorphic regularization. PAMM. 2023;22(1). doi:10.1002/pamm.202200074
apa: Hamdoun, A., & Mahnken, R. (2023). A finite strain gradient theory for
viscoplasticity by means of micromorphic regularization. PAMM, 22(1).
https://doi.org/10.1002/pamm.202200074
bibtex: '@article{Hamdoun_Mahnken_2023, title={A finite strain gradient theory for
viscoplasticity by means of micromorphic regularization}, volume={22}, DOI={10.1002/pamm.202200074}, number={1},
journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf},
year={2023} }'
chicago: Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for
Viscoplasticity by Means of Micromorphic Regularization.” PAMM 22, no.
1 (2023). https://doi.org/10.1002/pamm.202200074.
ieee: 'A. Hamdoun and R. Mahnken, “A finite strain gradient theory for viscoplasticity
by means of micromorphic regularization,” PAMM, vol. 22, no. 1, 2023, doi:
10.1002/pamm.202200074.'
mla: Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity
by Means of Micromorphic Regularization.” PAMM, vol. 22, no. 1, Wiley,
2023, doi:10.1002/pamm.202200074.
short: A. Hamdoun, R. Mahnken, PAMM 22 (2023).
date_created: 2023-05-16T12:21:32Z
date_updated: 2023-05-16T12:23:15Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202200074
intvolume: ' 22'
issue: '1'
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A finite strain gradient theory for viscoplasticity by means of micromorphic
regularization
type: journal_article
user_id: '335'
volume: 22
year: '2023'
...
---
_id: '44890'
author:
- first_name: Arnold
full_name: Tchomgue Simeu, Arnold
id: '83075'
last_name: Tchomgue Simeu
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Tchomgue Simeu A, Mahnken R. Goal‐oriented adaptivity based on a model hierarchy
of mean‐field and full‐field homogenization methods in elasto‐plasticity. PAMM.
2023;22(1). doi:10.1002/pamm.202200053
apa: Tchomgue Simeu, A., & Mahnken, R. (2023). Goal‐oriented adaptivity based
on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity.
PAMM, 22(1). https://doi.org/10.1002/pamm.202200053
bibtex: '@article{Tchomgue Simeu_Mahnken_2023, title={Goal‐oriented adaptivity based
on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity},
volume={22}, DOI={10.1002/pamm.202200053},
number={1}, journal={PAMM}, publisher={Wiley}, author={Tchomgue Simeu, Arnold
and Mahnken, Rolf}, year={2023} }'
chicago: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Goal‐oriented Adaptivity Based
on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Elasto‐plasticity.”
PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200053.
ieee: 'A. Tchomgue Simeu and R. Mahnken, “Goal‐oriented adaptivity based on a model
hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity,”
PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200053.'
mla: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Goal‐oriented Adaptivity Based on
a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Elasto‐plasticity.”
PAMM, vol. 22, no. 1, Wiley, 2023, doi:10.1002/pamm.202200053.
short: A. Tchomgue Simeu, R. Mahnken, PAMM 22 (2023).
date_created: 2023-05-16T12:18:15Z
date_updated: 2023-05-25T10:02:34Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202200053
intvolume: ' 22'
issue: '1'
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field
homogenization methods in elasto‐plasticity
type: journal_article
user_id: '335'
volume: 22
year: '2023'
...
---
_id: '45757'
abstract:
- lang: eng
text: "AbstractThree prominent low order implicit
time integration schemes are the first order implicit Euler-method, the second
order trapezoidal rule and the second order Ellsiepen method. Its advantages are
stability and comparatively low computational cost, however, they require the
solution of a nonlinear system of equations. This paper presents a general approach
for the construction of third order Runge–Kutta methods by embedding the above
mentioned implicit schemes into the class of ELDIRK-methods. These will be defined
to have an Explicit Last stage in the general Butcher
array of Diagonal Implicit Runge–Kutta (DIRK) methods,
with the consequence, that no additional system of equations must be solved. The
main results—valid also for non-linear ordinary differential equations—are as
follows: Two extra function calculations are required in order to embed the implicit
Euler-method and one extra function calculation is required for the trapezoidal-rule
and the Ellsiepen method, in order to obtain the third order properties, respectively.
Two numerical examples are concerned with a parachute with viscous damping and
a two-dimensional laser beam simulation. Here, we verify the higher order convergence
behaviours of the proposed new ELDIRK-methods, and its successful performances
for asymptotically exact global error estimation of so-called reversed embedded
RK-method are shown.\r\n"
author:
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
of lower order implicit time integration schemes for local and global error estimation.
Computational Mechanics. Published online 2023. doi:10.1007/s00466-023-02347-2
apa: Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK)
by embedding of lower order implicit time integration schemes for local and global
error estimation. Computational Mechanics. https://doi.org/10.1007/s00466-023-02347-2
bibtex: '@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods
(ELDIRK) by embedding of lower order implicit time integration schemes for local
and global error estimation}, DOI={10.1007/s00466-023-02347-2},
journal={Computational Mechanics}, publisher={Springer Science and Business Media
LLC}, author={Mahnken, Rolf}, year={2023} }'
chicago: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK)
by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global
Error Estimation.” Computational Mechanics, 2023. https://doi.org/10.1007/s00466-023-02347-2.
ieee: 'R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
of lower order implicit time integration schemes for local and global error estimation,”
Computational Mechanics, 2023, doi: 10.1007/s00466-023-02347-2.'
mla: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding
of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.”
Computational Mechanics, Springer Science and Business Media LLC, 2023,
doi:10.1007/s00466-023-02347-2.
short: R. Mahnken, Computational Mechanics (2023).
date_created: 2023-06-23T06:47:36Z
date_updated: 2023-06-23T06:48:42Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-023-02347-2
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
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: Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower
order implicit time integration schemes for local and global error estimation
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '46762'
author:
- first_name: Arnold
full_name: Tchomgue Simeu, Arnold
id: '83075'
last_name: Tchomgue Simeu
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: 'Tchomgue Simeu A, Mahnken R. Mesh- and model adaptivity for elasto-plastic
mean-field and full-field homogenization based on downwind and upwind approximations.
In: XI International Conference on Adaptive Modeling and Simulation. CIMNE;
2023. doi:10.23967/admos.2023.054'
apa: Tchomgue Simeu, A., & Mahnken, R. (2023). Mesh- and model adaptivity for
elasto-plastic mean-field and full-field homogenization based on downwind and
upwind approximations. XI International Conference on Adaptive Modeling and
Simulation. https://doi.org/10.23967/admos.2023.054
bibtex: '@inproceedings{Tchomgue Simeu_Mahnken_2023, title={Mesh- and model adaptivity
for elasto-plastic mean-field and full-field homogenization based on downwind
and upwind approximations}, DOI={10.23967/admos.2023.054},
booktitle={XI International Conference on Adaptive Modeling and Simulation}, publisher={CIMNE},
author={Tchomgue Simeu, Arnold and Mahnken, Rolf}, year={2023} }'
chicago: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Mesh- and Model Adaptivity for
Elasto-Plastic Mean-Field and Full-Field Homogenization Based on Downwind and
Upwind Approximations.” In XI International Conference on Adaptive Modeling
and Simulation. CIMNE, 2023. https://doi.org/10.23967/admos.2023.054.
ieee: 'A. Tchomgue Simeu and R. Mahnken, “Mesh- and model adaptivity for elasto-plastic
mean-field and full-field homogenization based on downwind and upwind approximations,”
2023, doi: 10.23967/admos.2023.054.'
mla: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Mesh- and Model Adaptivity for Elasto-Plastic
Mean-Field and Full-Field Homogenization Based on Downwind and Upwind Approximations.”
XI International Conference on Adaptive Modeling and Simulation, CIMNE,
2023, doi:10.23967/admos.2023.054.
short: 'A. Tchomgue Simeu, R. Mahnken, in: XI International Conference on Adaptive
Modeling and Simulation, CIMNE, 2023.'
date_created: 2023-09-01T07:52:20Z
date_updated: 2023-09-01T07:54:31Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.23967/admos.2023.054
language:
- iso: eng
publication: XI International Conference on Adaptive Modeling and Simulation
publication_status: published
publisher: CIMNE
quality_controlled: '1'
status: public
title: Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization
based on downwind and upwind approximations
type: conference
user_id: '335'
year: '2023'
...
---
_id: '48464'
abstract:
- lang: eng
text: AbstractInitial value problems can be solved
efficiently by means of Runge–Kutta algorithms with adaptive step size control.
Diagonally implicit Runge–Kutta (DIRK) methods are the most popular class among
the diverse family of Runge–Kutta algorithms. In this paper, the novel class of
low‐order explicit last‐stage diagonally implicit Runge–Kutta (ELDIRK) methods
are explored, which combine implicit schemes with an additional explicit evaluation
as an explicit last stage. ELDIRK Butcher tableaus are used to control embedded
RK methods to obtain solutions of different orders. The lower‐order solution is
obtained by classical implicit RK stages and the higher‐order solution is obtained
by additional explicit evaluation. As a result, a significant reduction in computational
cost is achieved by skipping the iterative solution of nonlinear systems for the
additional step. The examination of the heat problem and the use of the innovative
Butcher tableau in the finite‐element method are the main contributions of this
work. Thus, it is possible to establish adaptive step size control for the new
low‐order embedded methods based on an empirical method for error estimation.
Two‐dimensional simulations are used to show an appropriate algorithm for the
ELDIRK schemes. The new Runge–Kutta schemes' predictions of higher‐order convergence
are confirmed, and their successful outcomes are illustrated.
author:
- first_name: Hendrik
full_name: Westermann, Hendrik
id: '60816'
last_name: Westermann
orcid: 0000-0002-5034-9708
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Westermann H, Mahnken R. Numerical investigations of new low‐order explicit
last stage diagonal implicit Runge–Kutta schemes with the finite‐element method.
PAMM. 2023;23(2). doi:10.1002/pamm.202300071
apa: Westermann, H., & Mahnken, R. (2023). Numerical investigations of new low‐order
explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element
method. PAMM, 23(2). https://doi.org/10.1002/pamm.202300071
bibtex: '@article{Westermann_Mahnken_2023, title={Numerical investigations of new
low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element
method}, volume={23}, DOI={10.1002/pamm.202300071},
number={2}, journal={PAMM}, publisher={Wiley}, author={Westermann, Hendrik and
Mahnken, Rolf}, year={2023} }'
chicago: Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New
Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element
Method.” PAMM 23, no. 2 (2023). https://doi.org/10.1002/pamm.202300071.
ieee: 'H. Westermann and R. Mahnken, “Numerical investigations of new low‐order
explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element
method,” PAMM, vol. 23, no. 2, 2023, doi: 10.1002/pamm.202300071.'
mla: Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order
Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element
Method.” PAMM, vol. 23, no. 2, Wiley, 2023, doi:10.1002/pamm.202300071.
short: H. Westermann, R. Mahnken, PAMM 23 (2023).
date_created: 2023-10-25T10:46:57Z
date_updated: 2023-11-07T14:34:44Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202300071
intvolume: ' 23'
issue: '2'
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Numerical investigations of new low‐order explicit last stage diagonal implicit
Runge–Kutta schemes with the finite‐element method
type: journal_article
user_id: '335'
volume: 23
year: '2023'
...
---
_id: '48465'
article_number: '116545'
author:
- first_name: Hendrik
full_name: Westermann, Hendrik
id: '60816'
last_name: Westermann
orcid: 0000-0002-5034-9708
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Westermann H, Mahnken R. On the accuracy, stability and computational efficiency
of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the
adaptive solution of phase-field problems. Computer Methods in Applied Mechanics
and Engineering. 2023;418. doi:10.1016/j.cma.2023.116545
apa: Westermann, H., & Mahnken, R. (2023). On the accuracy, stability and computational
efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK)
for the adaptive solution of phase-field problems. Computer Methods in Applied
Mechanics and Engineering, 418, Article 116545. https://doi.org/10.1016/j.cma.2023.116545
bibtex: '@article{Westermann_Mahnken_2023, title={On the accuracy, stability and
computational efficiency of explicit last-stage diagonally implicit Runge–Kutta
methods (ELDIRK) for the adaptive solution of phase-field problems}, volume={418},
DOI={10.1016/j.cma.2023.116545},
number={116545}, journal={Computer Methods in Applied Mechanics and Engineering},
publisher={Elsevier BV}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023}
}'
chicago: Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and
Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta
Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” Computer
Methods in Applied Mechanics and Engineering 418 (2023). https://doi.org/10.1016/j.cma.2023.116545.
ieee: 'H. Westermann and R. Mahnken, “On the accuracy, stability and computational
efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK)
for the adaptive solution of phase-field problems,” Computer Methods in Applied
Mechanics and Engineering, vol. 418, Art. no. 116545, 2023, doi: 10.1016/j.cma.2023.116545.'
mla: Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational
Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK)
for the Adaptive Solution of Phase-Field Problems.” Computer Methods in Applied
Mechanics and Engineering, vol. 418, 116545, Elsevier BV, 2023, doi:10.1016/j.cma.2023.116545.
short: H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering
418 (2023).
date_created: 2023-10-25T10:47:23Z
date_updated: 2023-11-07T14:34:56Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.cma.2023.116545
intvolume: ' 418'
keyword:
- Computer Science Applications
- General Physics and Astronomy
- Mechanical Engineering
- Mechanics of Materials
- Computational Mechanics
language:
- iso: eng
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
issn:
- 0045-7825
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: On the accuracy, stability and computational efficiency of explicit last-stage
diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field
problems
type: journal_article
user_id: '335'
volume: 418
year: '2023'
...
---
_id: '48673'
article_number: '107160'
author:
- first_name: Peter
full_name: Lenz, Peter
last_name: Lenz
- first_name: Phil
full_name: Kreutzheide, Phil
last_name: Kreutzheide
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Lenz P, Kreutzheide P, Mahnken R. Multiphase elasto-plastic mean-field homogenisation
and its consistent linearisation. Computers & Structures. 2023;290.
doi:10.1016/j.compstruc.2023.107160
apa: Lenz, P., Kreutzheide, P., & Mahnken, R. (2023). Multiphase elasto-plastic
mean-field homogenisation and its consistent linearisation. Computers &
Structures, 290, Article 107160. https://doi.org/10.1016/j.compstruc.2023.107160
bibtex: '@article{Lenz_Kreutzheide_Mahnken_2023, title={Multiphase elasto-plastic
mean-field homogenisation and its consistent linearisation}, volume={290}, DOI={10.1016/j.compstruc.2023.107160},
number={107160}, journal={Computers & Structures}, publisher={Elsevier
BV}, author={Lenz, Peter and Kreutzheide, Phil and Mahnken, Rolf}, year={2023}
}'
chicago: Lenz, Peter, Phil Kreutzheide, and Rolf Mahnken. “Multiphase Elasto-Plastic
Mean-Field Homogenisation and Its Consistent Linearisation.” Computers &
Structures 290 (2023). https://doi.org/10.1016/j.compstruc.2023.107160.
ieee: 'P. Lenz, P. Kreutzheide, and R. Mahnken, “Multiphase elasto-plastic mean-field
homogenisation and its consistent linearisation,” Computers & Structures,
vol. 290, Art. no. 107160, 2023, doi: 10.1016/j.compstruc.2023.107160.'
mla: Lenz, Peter, et al. “Multiphase Elasto-Plastic Mean-Field Homogenisation and
Its Consistent Linearisation.” Computers & Structures, vol. 290,
107160, Elsevier BV, 2023, doi:10.1016/j.compstruc.2023.107160.
short: P. Lenz, P. Kreutzheide, R. Mahnken, Computers & Structures 290 (2023).
date_created: 2023-11-07T14:33:33Z
date_updated: 2023-11-07T14:35:05Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruc.2023.107160
intvolume: ' 290'
keyword:
- Computer Science Applications
- Mechanical Engineering
- General Materials Science
- Modeling and Simulation
- Civil and Structural Engineering
language:
- iso: eng
publication: Computers & Structures
publication_identifier:
issn:
- 0045-7949
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation
type: journal_article
user_id: '335'
volume: 290
year: '2023'
...
---
_id: '49866'
abstract:
- lang: eng
text: AbstractThe use of heterogeneous materials,
such as composites with Prandtl‐Reuss‐type material laws, has increased in industrial
praxis, making finite element modeling with homogenization techniques a well‐accepted
tool. These methods are particularly advantageous to account for microstructural
mechanisms which can be related to nonlinearities and time‐dependency due to elasto‐plasticity
behavior. However, their advantages are diminished by increasing computational
demand. The present contribution deals with the balance of accuracy and numerical
efficiency of nonlinear homogenization associated with a framework of goal‐oriented
adaptivity, which takes into account error accumulation over time. To this end,
model adaptivity of homogenization methods is coupled to mesh adaptivity on the
macro scale. Our new proposed adaptive procedure is driven by a goal‐oriented
a posteriori error estimator based on duality techniques using downwind and upwind
approximations. Due to nonlinearities and time‐dependency of the plasticity, the
estimation of error transport and error generation is obtained with a backward‐in‐time
dual method despite a high demand on memory capacity. In this contribution, the
dual problem is solved with a forward‐in‐time dual method that allows estimating
the full error during the resolution of the primal problem without the need for
extra memory capacity. Finally, a numerical example illustrates the effectiveness
of the proposed adaptive approach.
author:
- first_name: Arnold
full_name: Tchomgue Simeu, Arnold
id: '83075'
last_name: Tchomgue Simeu
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Tchomgue Simeu A, Mahnken R. Downwind and upwind approximations for mesh and
model adaptivity of elasto‐plastic composites. PAMM. Published online 2023.
doi:10.1002/pamm.202300136
apa: Tchomgue Simeu, A., & Mahnken, R. (2023). Downwind and upwind approximations
for mesh and model adaptivity of elasto‐plastic composites. PAMM. https://doi.org/10.1002/pamm.202300136
bibtex: '@article{Tchomgue Simeu_Mahnken_2023, title={Downwind and upwind approximations
for mesh and model adaptivity of elasto‐plastic composites}, DOI={10.1002/pamm.202300136},
journal={PAMM}, publisher={Wiley}, author={Tchomgue Simeu, Arnold and Mahnken,
Rolf}, year={2023} }'
chicago: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations
for Mesh and Model Adaptivity of Elasto‐plastic Composites.” PAMM, 2023.
https://doi.org/10.1002/pamm.202300136.
ieee: 'A. Tchomgue Simeu and R. Mahnken, “Downwind and upwind approximations for
mesh and model adaptivity of elasto‐plastic composites,” PAMM, 2023, doi:
10.1002/pamm.202300136.'
mla: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations
for Mesh and Model Adaptivity of Elasto‐plastic Composites.” PAMM, Wiley,
2023, doi:10.1002/pamm.202300136.
short: A. Tchomgue Simeu, R. Mahnken, PAMM (2023).
date_created: 2023-12-19T12:20:05Z
date_updated: 2023-12-19T12:20:51Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202300136
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic
composites
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '52219'
abstract:
- lang: eng
text: AbstractCold‐box sand (CBS) belongs to the
granular materials and consists of sand and a binder. The behavior of CBS is simulated
with a micropolar model, whereby the additional degree of freedom of the model
describes the rotation of the sand grains. The model is used to generate a shear
band under pressure for three different meshes, where the force‐displacement curves
of the three meshes converge so that no mesh dependence occurs. Another requirement
of the model is the consideration of asymmetric behavior for compression and tension.
Due to the additional degree of freedom the implicit implementation of the micropolar
continuum is very time‐consuming. Therefore, an explicit implementation is considered
as an alternative possibility. This paper compares the advantages and disadvantages
of both methods and the results for both calculations.
author:
- first_name: Alexander
full_name: Börger, Alexander
last_name: Börger
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Börger A, Mahnken R. A micropolar model accounting for asymmetric behavior
of cold‐box sand in relation to tensile and compression tests. PAMM. Published
online 2023. doi:10.1002/pamm.202300126
apa: Börger, A., & Mahnken, R. (2023). A micropolar model accounting for asymmetric
behavior of cold‐box sand in relation to tensile and compression tests. PAMM.
https://doi.org/10.1002/pamm.202300126
bibtex: '@article{Börger_Mahnken_2023, title={A micropolar model accounting for
asymmetric behavior of cold‐box sand in relation to tensile and compression tests},
DOI={10.1002/pamm.202300126},
journal={PAMM}, publisher={Wiley}, author={Börger, Alexander and Mahnken, Rolf},
year={2023} }'
chicago: Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for
Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.”
PAMM, 2023. https://doi.org/10.1002/pamm.202300126.
ieee: 'A. Börger and R. Mahnken, “A micropolar model accounting for asymmetric behavior
of cold‐box sand in relation to tensile and compression tests,” PAMM, 2023,
doi: 10.1002/pamm.202300126.'
mla: Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric
Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” PAMM,
Wiley, 2023, doi:10.1002/pamm.202300126.
short: A. Börger, R. Mahnken, PAMM (2023).
date_created: 2024-02-29T13:59:12Z
date_updated: 2024-02-29T13:59:31Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202300126
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A micropolar model accounting for asymmetric behavior of cold‐box sand in relation
to tensile and compression tests
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '52649'
author:
- first_name: Eduard
full_name: Penner, Eduard
last_name: Penner
citation:
ama: Penner E. Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites
at Different Scales. Shaker Verlag; 2023. doi:10.2370/9783844093322
apa: Penner, E. (2023). Polymorphic uncertainty in constitutive modeling of polymer
composites at different scales. Shaker Verlag. https://doi.org/10.2370/9783844093322
bibtex: '@book{Penner_2023, title={Polymorphic uncertainty in constitutive modeling
of polymer composites at different scales}, DOI={10.2370/9783844093322},
publisher={Shaker Verlag}, author={Penner, Eduard}, year={2023} }'
chicago: Penner, Eduard. Polymorphic Uncertainty in Constitutive Modeling of
Polymer Composites at Different Scales. Shaker Verlag, 2023. https://doi.org/10.2370/9783844093322.
ieee: E. Penner, Polymorphic uncertainty in constitutive modeling of polymer
composites at different scales. Shaker Verlag, 2023.
mla: Penner, Eduard. Polymorphic Uncertainty in Constitutive Modeling of Polymer
Composites at Different Scales. Shaker Verlag, 2023, doi:10.2370/9783844093322.
short: E. Penner, Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites
at Different Scales, Shaker Verlag, 2023.
date_created: 2024-03-19T12:59:06Z
date_updated: 2024-03-19T12:59:12Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.2370/9783844093322
language:
- iso: eng
publication_identifier:
unknown:
- 978-3-8440-9332-2
publication_status: published
publisher: Shaker Verlag
status: public
supervisor:
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
title: Polymorphic uncertainty in constitutive modeling of polymer composites at different
scales
type: dissertation
user_id: '335'
year: '2023'
...
---
_id: '31185'
article_number: '115699'
author:
- first_name: Xiaozhe
full_name: Ju, Xiaozhe
last_name: Ju
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: Yangjian
full_name: Xu, Yangjian
last_name: Xu
- first_name: Lihua
full_name: Liang, Lihua
last_name: Liang
- first_name: Chun
full_name: Cheng, Chun
last_name: Cheng
- first_name: Wangmin
full_name: Zhou, Wangmin
last_name: Zhou
citation:
ama: Ju X, Mahnken R, Xu Y, Liang L, Cheng C, Zhou W. Multiscale analysis of composite
structures with goal-oriented mesh adaptivity and reduced order homogenization.
Composite Structures. Published online 2022. doi:10.1016/j.compstruct.2022.115699
apa: Ju, X., Mahnken, R., Xu, Y., Liang, L., Cheng, C., & Zhou, W. (2022). Multiscale
analysis of composite structures with goal-oriented mesh adaptivity and reduced
order homogenization. Composite Structures, Article 115699. https://doi.org/10.1016/j.compstruct.2022.115699
bibtex: '@article{Ju_Mahnken_Xu_Liang_Cheng_Zhou_2022, title={Multiscale analysis
of composite structures with goal-oriented mesh adaptivity and reduced order homogenization},
DOI={10.1016/j.compstruct.2022.115699},
number={115699}, journal={Composite Structures}, publisher={Elsevier BV}, author={Ju,
Xiaozhe and Mahnken, Rolf and Xu, Yangjian and Liang, Lihua and Cheng, Chun and
Zhou, Wangmin}, year={2022} }'
chicago: Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, Lihua Liang, Chun Cheng, and Wangmin
Zhou. “Multiscale Analysis of Composite Structures with Goal-Oriented Mesh Adaptivity
and Reduced Order Homogenization.” Composite Structures, 2022. https://doi.org/10.1016/j.compstruct.2022.115699.
ieee: 'X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, and W. Zhou, “Multiscale analysis
of composite structures with goal-oriented mesh adaptivity and reduced order homogenization,”
Composite Structures, Art. no. 115699, 2022, doi: 10.1016/j.compstruct.2022.115699.'
mla: Ju, Xiaozhe, et al. “Multiscale Analysis of Composite Structures with Goal-Oriented
Mesh Adaptivity and Reduced Order Homogenization.” Composite Structures,
115699, Elsevier BV, 2022, doi:10.1016/j.compstruct.2022.115699.
short: X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, W. Zhou, Composite Structures
(2022).
date_created: 2022-05-10T11:18:45Z
date_updated: 2023-01-24T13:11:40Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruct.2022.115699
keyword:
- Civil and Structural Engineering
- Ceramics and Composites
language:
- iso: eng
publication: Composite Structures
publication_identifier:
issn:
- 0263-8223
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Multiscale analysis of composite structures with goal-oriented mesh adaptivity
and reduced order homogenization
type: journal_article
user_id: '335'
year: '2022'
...
---
_id: '30656'
abstract:
- lang: eng
text: 'AbstractOptimized material parameters obtained
from parameter identification for verification wrt a certain loading scenario
are amenable to two deficiencies: Firstly, they may lack a general validity for
different loading scenarios. Secondly, they may be prone to instability, such
that a small perturbation of experimental data may ensue a large perturbation
for the material parameters. This paper presents a framework for extension of
hyperelastic models for rubber-like materials accounting for both deficiencies.
To this end, an additive decomposition of the strain energy function is assumed
into a sum of weighted strain mode related quantities. We propose a practical
guide for model development accounting for the criteria of verification, validation
and stability by means of the strain mode-dependent weighting functions and techniques
of model reduction. The approach is successfully applied for 13 hyperelastic models
with regard to the classical experimental data on vulcanized rubber published
by Treloar (Trans Faraday Soc 40:59–70, 1944), showing both excellent fitting
capabilties and stable material parameters.'
author:
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Mahnken R. Strain mode-dependent weighting functions in hyperelasticity accounting
for verification, validation, and stability of material parameters. Archive
of Applied Mechanics. 2022;92(3):713-754. doi:10.1007/s00419-021-02069-y
apa: Mahnken, R. (2022). Strain mode-dependent weighting functions in hyperelasticity
accounting for verification, validation, and stability of material parameters.
Archive of Applied Mechanics, 92(3), 713–754. https://doi.org/10.1007/s00419-021-02069-y
bibtex: '@article{Mahnken_2022, title={Strain mode-dependent weighting functions
in hyperelasticity accounting for verification, validation, and stability of material
parameters}, volume={92}, DOI={10.1007/s00419-021-02069-y},
number={3}, journal={Archive of Applied Mechanics}, publisher={Springer Science
and Business Media LLC}, author={Mahnken, Rolf}, year={2022}, pages={713–754}
}'
chicago: 'Mahnken, Rolf. “Strain Mode-Dependent Weighting Functions in Hyperelasticity
Accounting for Verification, Validation, and Stability of Material Parameters.”
Archive of Applied Mechanics 92, no. 3 (2022): 713–54. https://doi.org/10.1007/s00419-021-02069-y.'
ieee: 'R. Mahnken, “Strain mode-dependent weighting functions in hyperelasticity
accounting for verification, validation, and stability of material parameters,”
Archive of Applied Mechanics, vol. 92, no. 3, pp. 713–754, 2022, doi: 10.1007/s00419-021-02069-y.'
mla: Mahnken, Rolf. “Strain Mode-Dependent Weighting Functions in Hyperelasticity
Accounting for Verification, Validation, and Stability of Material Parameters.”
Archive of Applied Mechanics, vol. 92, no. 3, Springer Science and Business
Media LLC, 2022, pp. 713–54, doi:10.1007/s00419-021-02069-y.
short: R. Mahnken, Archive of Applied Mechanics 92 (2022) 713–754.
date_created: 2022-03-28T13:24:07Z
date_updated: 2023-01-24T13:10:27Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-021-02069-y
intvolume: ' 92'
issue: '3'
keyword:
- Mechanical Engineering
language:
- iso: eng
page: 713-754
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: Strain mode-dependent weighting functions in hyperelasticity accounting for
verification, validation, and stability of material parameters
type: journal_article
user_id: '335'
volume: 92
year: '2022'
...