---
_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: '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: '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: '41485'
author:
- first_name: Robin
full_name: Clemens, Robin
last_name: Clemens
- first_name: Enrico
full_name: Barth, Enrico
last_name: Barth
- first_name: Eckart
full_name: Uhlmann, Eckart
last_name: Uhlmann
- first_name: Yingjie
full_name: Zhan, Yingjie
last_name: Zhan
- 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: Clemens R, Barth E, Uhlmann E, Zhan Y, Caylak I, Mahnken R. Effects on Process
Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting
Speed When Milling Cfrp. SSRN Electronic Journal. Published online 2022.
doi:10.2139/ssrn.4259246
apa: Clemens, R., Barth, E., Uhlmann, E., Zhan, Y., Caylak, I., & Mahnken, R.
(2022). Effects on Process Forces of Individual Milling Tool Edges Depending on
the Cutting Angle and Cutting Speed When Milling Cfrp. SSRN Electronic Journal.
https://doi.org/10.2139/ssrn.4259246
bibtex: '@article{Clemens_Barth_Uhlmann_Zhan_Caylak_Mahnken_2022, title={Effects
on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle
and Cutting Speed When Milling Cfrp}, DOI={10.2139/ssrn.4259246},
journal={SSRN Electronic Journal}, publisher={Elsevier BV}, author={Clemens, Robin
and Barth, Enrico and Uhlmann, Eckart and Zhan, Yingjie and Caylak, Ismail and
Mahnken, Rolf}, year={2022} }'
chicago: Clemens, Robin, Enrico Barth, Eckart Uhlmann, Yingjie Zhan, Ismail Caylak,
and Rolf Mahnken. “Effects on Process Forces of Individual Milling Tool Edges
Depending on the Cutting Angle and Cutting Speed When Milling Cfrp.” SSRN Electronic
Journal, 2022. https://doi.org/10.2139/ssrn.4259246.
ieee: 'R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, and R. Mahnken, “Effects
on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle
and Cutting Speed When Milling Cfrp,” SSRN Electronic Journal, 2022, doi:
10.2139/ssrn.4259246.'
mla: Clemens, Robin, et al. “Effects on Process Forces of Individual Milling Tool
Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp.” SSRN
Electronic Journal, Elsevier BV, 2022, doi:10.2139/ssrn.4259246.
short: R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, R. Mahnken, SSRN Electronic
Journal (2022).
date_created: 2023-02-02T12:49:43Z
date_updated: 2023-04-27T10:08:09Z
department:
- _id: '9'
- _id: '154'
doi: 10.2139/ssrn.4259246
keyword:
- General Earth and Planetary Sciences
- General Environmental Science
language:
- iso: eng
publication: SSRN Electronic Journal
publication_identifier:
issn:
- 1556-5068
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Effects on Process Forces of Individual Milling Tool Edges Depending on the
Cutting Angle and Cutting Speed When Milling Cfrp
type: journal_article
user_id: '335'
year: '2022'
...
---
_id: '34075'
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. A polymorphic uncertainty model for the curing
process of transversely fiber-reinforced plastics. Mathematics and Mechanics
of Complex Systems. 2022;10(1):21-50. doi:10.2140/memocs.2022.10.21
apa: Penner, E., Caylak, I., & Mahnken, R. (2022). A polymorphic uncertainty
model for the curing process of transversely fiber-reinforced plastics. Mathematics
and Mechanics of Complex Systems, 10(1), 21–50. https://doi.org/10.2140/memocs.2022.10.21
bibtex: '@article{Penner_Caylak_Mahnken_2022, title={A polymorphic uncertainty model
for the curing process of transversely fiber-reinforced plastics}, volume={10},
DOI={10.2140/memocs.2022.10.21},
number={1}, journal={Mathematics and Mechanics of Complex Systems}, publisher={Mathematical
Sciences Publishers}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf},
year={2022}, pages={21–50} }'
chicago: 'Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “A Polymorphic Uncertainty
Model for the Curing Process of Transversely Fiber-Reinforced Plastics.” Mathematics
and Mechanics of Complex Systems 10, no. 1 (2022): 21–50. https://doi.org/10.2140/memocs.2022.10.21.'
ieee: 'E. Penner, I. Caylak, and R. Mahnken, “A polymorphic uncertainty model for
the curing process of transversely fiber-reinforced plastics,” Mathematics
and Mechanics of Complex Systems, vol. 10, no. 1, pp. 21–50, 2022, doi: 10.2140/memocs.2022.10.21.'
mla: Penner, Eduard, et al. “A Polymorphic Uncertainty Model for the Curing Process
of Transversely Fiber-Reinforced Plastics.” Mathematics and Mechanics of Complex
Systems, vol. 10, no. 1, Mathematical Sciences Publishers, 2022, pp. 21–50,
doi:10.2140/memocs.2022.10.21.
short: E. Penner, I. Caylak, R. Mahnken, Mathematics and Mechanics of Complex Systems
10 (2022) 21–50.
date_created: 2022-11-14T12:55:22Z
date_updated: 2023-04-27T10:04:44Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.2140/memocs.2022.10.21
intvolume: ' 10'
issue: '1'
keyword:
- Computational Mathematics
- Numerical Analysis
- Civil and Structural Engineering
language:
- iso: eng
page: 21-50
publication: Mathematics and Mechanics of Complex Systems
publication_identifier:
issn:
- 2325-3444
- 2326-7186
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
status: public
title: A polymorphic uncertainty model for the curing process of transversely fiber-reinforced
plastics
type: journal_article
user_id: '335'
volume: 10
year: '2022'
...
---
_id: '24392'
author:
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
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. An uncertainty model for the curing process
of transversely fiber reinforced plastics. PAMM. Published online 2021.
doi:10.1002/pamm.202000178
apa: Penner, E., Caylak, I., & Mahnken, R. (2021). An uncertainty model for
the curing process of transversely fiber reinforced plastics. PAMM. https://doi.org/10.1002/pamm.202000178
bibtex: '@article{Penner_Caylak_Mahnken_2021, title={An uncertainty model for the
curing process of transversely fiber reinforced plastics}, DOI={10.1002/pamm.202000178},
journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf},
year={2021} }'
chicago: Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “An Uncertainty Model
for the Curing Process of Transversely Fiber Reinforced Plastics.” PAMM,
2021. https://doi.org/10.1002/pamm.202000178.
ieee: 'E. Penner, I. Caylak, and R. Mahnken, “An uncertainty model for the curing
process of transversely fiber reinforced plastics,” PAMM, 2021, doi: 10.1002/pamm.202000178.'
mla: Penner, Eduard, et al. “An Uncertainty Model for the Curing Process of Transversely
Fiber Reinforced Plastics.” PAMM, 2021, doi:10.1002/pamm.202000178.
short: E. Penner, I. Caylak, R. Mahnken, PAMM (2021).
date_created: 2021-09-14T12:08:38Z
date_updated: 2023-01-24T12:43:54Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202000178
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
status: public
title: An uncertainty model for the curing process of transversely fiber reinforced
plastics
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '24397'
author:
- first_name: Alexander
full_name: Henkes, Alexander
last_name: Henkes
- 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: Henkes A, Caylak I, Mahnken R. A deep learning driven uncertain full‐field
homogenization method. PAMM. Published online 2021. doi:10.1002/pamm.202000180
apa: Henkes, A., Caylak, I., & Mahnken, R. (2021). A deep learning driven uncertain
full‐field homogenization method. PAMM. https://doi.org/10.1002/pamm.202000180
bibtex: '@article{Henkes_Caylak_Mahnken_2021, title={A deep learning driven uncertain
full‐field homogenization method}, DOI={10.1002/pamm.202000180},
journal={PAMM}, author={Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf},
year={2021} }'
chicago: Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven
Uncertain Full‐field Homogenization Method.” PAMM, 2021. https://doi.org/10.1002/pamm.202000180.
ieee: 'A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven uncertain full‐field
homogenization method,” PAMM, 2021, doi: 10.1002/pamm.202000180.'
mla: Henkes, Alexander, et al. “A Deep Learning Driven Uncertain Full‐field Homogenization
Method.” PAMM, 2021, doi:10.1002/pamm.202000180.
short: A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).
date_created: 2021-09-14T12:26:45Z
date_updated: 2023-01-24T12:45:09Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202000180
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
status: public
title: A deep learning driven uncertain full‐field homogenization method
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '21681'
author:
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
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
- first_name: Alex
full_name: Dridger, Alex
last_name: Dridger
citation:
ama: Penner E, Caylak I, Mahnken R, Dridger A. Fuzzy and stochastic approach applied
to rubber like materials. Safety and Reliability. Published online 2021:1-19.
doi:10.1080/09617353.2020.1858678
apa: Penner, E., Caylak, I., Mahnken, R., & Dridger, A. (2021). Fuzzy and stochastic
approach applied to rubber like materials. Safety and Reliability, 1–19.
https://doi.org/10.1080/09617353.2020.1858678
bibtex: '@article{Penner_Caylak_Mahnken_Dridger_2021, title={Fuzzy and stochastic
approach applied to rubber like materials}, DOI={10.1080/09617353.2020.1858678},
journal={Safety and Reliability}, author={Penner, Eduard and Caylak, Ismail and
Mahnken, Rolf and Dridger, Alex}, year={2021}, pages={1–19} }'
chicago: Penner, Eduard, Ismail Caylak, Rolf Mahnken, and Alex Dridger. “Fuzzy and
Stochastic Approach Applied to Rubber like Materials.” Safety and Reliability,
2021, 1–19. https://doi.org/10.1080/09617353.2020.1858678.
ieee: 'E. Penner, I. Caylak, R. Mahnken, and A. Dridger, “Fuzzy and stochastic approach
applied to rubber like materials,” Safety and Reliability, pp. 1–19, 2021,
doi: 10.1080/09617353.2020.1858678.'
mla: Penner, Eduard, et al. “Fuzzy and Stochastic Approach Applied to Rubber like
Materials.” Safety and Reliability, 2021, pp. 1–19, doi:10.1080/09617353.2020.1858678.
short: E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021)
1–19.
date_created: 2021-04-21T06:35:08Z
date_updated: 2023-01-24T13:06:18Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1080/09617353.2020.1858678
language:
- iso: eng
page: 1-19
publication: Safety and Reliability
publication_identifier:
issn:
- 0961-7353
- 2469-4126
publication_status: published
quality_controlled: '1'
status: public
title: Fuzzy and stochastic approach applied to rubber like materials
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '24376'
article_number: '114070'
author:
- first_name: Alexander
full_name: Henkes, Alexander
last_name: Henkes
- 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: Henkes A, Caylak I, Mahnken R. A deep learning driven pseudospectral PCE based
FFT homogenization algorithm for complex microstructures. Computer Methods
in Applied Mechanics and Engineering. Published online 2021. doi:10.1016/j.cma.2021.114070
apa: Henkes, A., Caylak, I., & Mahnken, R. (2021). A deep learning driven pseudospectral
PCE based FFT homogenization algorithm for complex microstructures. Computer
Methods in Applied Mechanics and Engineering, Article 114070. https://doi.org/10.1016/j.cma.2021.114070
bibtex: '@article{Henkes_Caylak_Mahnken_2021, title={A deep learning driven pseudospectral
PCE based FFT homogenization algorithm for complex microstructures}, DOI={10.1016/j.cma.2021.114070},
number={114070}, journal={Computer Methods in Applied Mechanics and Engineering},
author={Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf}, year={2021} }'
chicago: Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven
Pseudospectral PCE Based FFT Homogenization Algorithm for Complex Microstructures.”
Computer Methods in Applied Mechanics and Engineering, 2021. https://doi.org/10.1016/j.cma.2021.114070.
ieee: 'A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven pseudospectral
PCE based FFT homogenization algorithm for complex microstructures,” Computer
Methods in Applied Mechanics and Engineering, Art. no. 114070, 2021, doi:
10.1016/j.cma.2021.114070.'
mla: Henkes, Alexander, et al. “A Deep Learning Driven Pseudospectral PCE Based
FFT Homogenization Algorithm for Complex Microstructures.” Computer Methods
in Applied Mechanics and Engineering, 114070, 2021, doi:10.1016/j.cma.2021.114070.
short: A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and
Engineering (2021).
date_created: 2021-09-14T11:21:22Z
date_updated: 2023-01-24T13:02:58Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.cma.2021.114070
language:
- iso: eng
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
issn:
- 0045-7825
publication_status: published
quality_controlled: '1'
status: public
title: A deep learning driven pseudospectral PCE based FFT homogenization algorithm
for complex microstructures
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '24374'
article_number: '113439'
author:
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Caylak I, Penner E, Mahnken R. Mean-field and full-field homogenization with
polymorphic uncertain geometry and material parameters. Computer Methods in
Applied Mechanics and Engineering. Published online 2020. doi:10.1016/j.cma.2020.113439
apa: Caylak, I., Penner, E., & Mahnken, R. (2020). Mean-field and full-field
homogenization with polymorphic uncertain geometry and material parameters. Computer
Methods in Applied Mechanics and Engineering, Article 113439. https://doi.org/10.1016/j.cma.2020.113439
bibtex: '@article{Caylak_Penner_Mahnken_2020, title={Mean-field and full-field homogenization
with polymorphic uncertain geometry and material parameters}, DOI={10.1016/j.cma.2020.113439},
number={113439}, journal={Computer Methods in Applied Mechanics and Engineering},
author={Caylak, Ismail and Penner, Eduard and Mahnken, Rolf}, year={2020} }'
chicago: Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “Mean-Field and Full-Field
Homogenization with Polymorphic Uncertain Geometry and Material Parameters.” Computer
Methods in Applied Mechanics and Engineering, 2020. https://doi.org/10.1016/j.cma.2020.113439.
ieee: 'I. Caylak, E. Penner, and R. Mahnken, “Mean-field and full-field homogenization
with polymorphic uncertain geometry and material parameters,” Computer Methods
in Applied Mechanics and Engineering, Art. no. 113439, 2020, doi: 10.1016/j.cma.2020.113439.'
mla: Caylak, Ismail, et al. “Mean-Field and Full-Field Homogenization with Polymorphic
Uncertain Geometry and Material Parameters.” Computer Methods in Applied Mechanics
and Engineering, 113439, 2020, doi:10.1016/j.cma.2020.113439.
short: I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and
Engineering (2020).
date_created: 2021-09-14T11:18:05Z
date_updated: 2023-01-24T14:03:55Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.cma.2020.113439
language:
- iso: eng
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
issn:
- 0045-7825
publication_status: published
quality_controlled: '1'
status: public
title: Mean-field and full-field homogenization with polymorphic uncertain geometry
and material parameters
type: journal_article
user_id: '335'
year: '2020'
...
---
_id: '19297'
author:
- first_name: A.
full_name: Dridger, A.
last_name: Dridger
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: R.
full_name: Mahnken, R.
last_name: Mahnken
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
citation:
ama: Dridger A, Caylak I, Mahnken R, Penner E. A possibilistic finite element method
for sparse data. Safety and Reliability. 2019:58-82. doi:10.1080/09617353.2018.1552477
apa: Dridger, A., Caylak, I., Mahnken, R., & Penner, E. (2019). A possibilistic
finite element method for sparse data. Safety and Reliability, 58–82. https://doi.org/10.1080/09617353.2018.1552477
bibtex: '@article{Dridger_Caylak_Mahnken_Penner_2019, title={A possibilistic finite
element method for sparse data}, DOI={10.1080/09617353.2018.1552477},
journal={Safety and Reliability}, author={Dridger, A. and Caylak, Ismail and Mahnken,
R. and Penner, Eduard}, year={2019}, pages={58–82} }'
chicago: Dridger, A., Ismail Caylak, R. Mahnken, and Eduard Penner. “A Possibilistic
Finite Element Method for Sparse Data.” Safety and Reliability, 2019, 58–82.
https://doi.org/10.1080/09617353.2018.1552477.
ieee: A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “A possibilistic finite
element method for sparse data,” Safety and Reliability, pp. 58–82, 2019.
mla: Dridger, A., et al. “A Possibilistic Finite Element Method for Sparse Data.”
Safety and Reliability, 2019, pp. 58–82, doi:10.1080/09617353.2018.1552477.
short: A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019)
58–82.
date_created: 2020-09-11T09:44:02Z
date_updated: 2022-01-06T06:54:01Z
doi: 10.1080/09617353.2018.1552477
language:
- iso: eng
page: 58-82
publication: Safety and Reliability
publication_identifier:
issn:
- 0961-7353
- 2469-4126
publication_status: published
status: public
title: A possibilistic finite element method for sparse data
type: journal_article
user_id: '75'
year: '2019'
...
---
_id: '19300'
article_number: e201900005
author:
- first_name: Markus
full_name: Mäck, Markus
last_name: Mäck
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Philipp
full_name: Edler, Philipp
last_name: Edler
- first_name: Steffen
full_name: Freitag, Steffen
last_name: Freitag
- first_name: Michael
full_name: Hanss, Michael
last_name: Hanss
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
- first_name: Günther
full_name: Meschke, Günther
last_name: Meschke
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
citation:
ama: Mäck M, Caylak I, Edler P, et al. Optimization with constraints considering
polymorphic uncertainties. GAMM-Mitteilungen. Published online 2019. doi:10.1002/gamm.201900005
apa: Mäck, M., Caylak, I., Edler, P., Freitag, S., Hanss, M., Mahnken, R., Meschke,
G., & Penner, E. (2019). Optimization with constraints considering polymorphic
uncertainties. GAMM-Mitteilungen, Article e201900005. https://doi.org/10.1002/gamm.201900005
bibtex: '@article{Mäck_Caylak_Edler_Freitag_Hanss_Mahnken_Meschke_Penner_2019, title={Optimization
with constraints considering polymorphic uncertainties}, DOI={10.1002/gamm.201900005},
number={e201900005}, journal={GAMM-Mitteilungen}, author={Mäck, Markus and Caylak,
Ismail and Edler, Philipp and Freitag, Steffen and Hanss, Michael and Mahnken,
Rolf and Meschke, Günther and Penner, Eduard}, year={2019} }'
chicago: Mäck, Markus, Ismail Caylak, Philipp Edler, Steffen Freitag, Michael Hanss,
Rolf Mahnken, Günther Meschke, and Eduard Penner. “Optimization with Constraints
Considering Polymorphic Uncertainties.” GAMM-Mitteilungen, 2019. https://doi.org/10.1002/gamm.201900005.
ieee: 'M. Mäck et al., “Optimization with constraints considering polymorphic
uncertainties,” GAMM-Mitteilungen, Art. no. e201900005, 2019, doi: 10.1002/gamm.201900005.'
mla: Mäck, Markus, et al. “Optimization with Constraints Considering Polymorphic
Uncertainties.” GAMM-Mitteilungen, e201900005, 2019, doi:10.1002/gamm.201900005.
short: M. Mäck, I. Caylak, P. Edler, S. Freitag, M. Hanss, R. Mahnken, G. Meschke,
E. Penner, GAMM-Mitteilungen (2019).
date_created: 2020-09-11T09:48:23Z
date_updated: 2022-07-27T07:04:05Z
doi: 10.1002/gamm.201900005
language:
- iso: eng
publication: GAMM-Mitteilungen
publication_identifier:
issn:
- 0936-7195
publication_status: published
status: public
title: Optimization with constraints considering polymorphic uncertainties
type: journal_article
user_id: '27973'
year: '2019'
...
---
_id: '19122'
author:
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Alex
full_name: Dridger, Alex
last_name: Dridger
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Penner E, Caylak I, Dridger A, Mahnken R. A polynomial chaos expanded hybrid
fuzzy-stochastic model for transversely fiber reinforced plastics. Mathematics
and Mechanics of Complex Systems. Published online 2019:99-129. doi:10.2140/memocs.2019.7.99
apa: Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2019). A polynomial
chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced
plastics. Mathematics and Mechanics of Complex Systems, 99–129. https://doi.org/10.2140/memocs.2019.7.99
bibtex: '@article{Penner_Caylak_Dridger_Mahnken_2019, title={A polynomial chaos
expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics},
DOI={10.2140/memocs.2019.7.99},
journal={Mathematics and Mechanics of Complex Systems}, author={Penner, Eduard
and Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}, year={2019}, pages={99–129}
}'
chicago: Penner, Eduard, Ismail Caylak, Alex Dridger, and Rolf Mahnken. “A Polynomial
Chaos Expanded Hybrid Fuzzy-Stochastic Model for Transversely Fiber Reinforced
Plastics.” Mathematics and Mechanics of Complex Systems, 2019, 99–129.
https://doi.org/10.2140/memocs.2019.7.99.
ieee: 'E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “A polynomial chaos expanded
hybrid fuzzy-stochastic model for transversely fiber reinforced plastics,” Mathematics
and Mechanics of Complex Systems, pp. 99–129, 2019, doi: 10.2140/memocs.2019.7.99.'
mla: Penner, Eduard, et al. “A Polynomial Chaos Expanded Hybrid Fuzzy-Stochastic
Model for Transversely Fiber Reinforced Plastics.” Mathematics and Mechanics
of Complex Systems, 2019, pp. 99–129, doi:10.2140/memocs.2019.7.99.
short: E. Penner, I. Caylak, A. Dridger, R. Mahnken, Mathematics and Mechanics of
Complex Systems (2019) 99–129.
date_created: 2020-09-08T10:24:25Z
date_updated: 2023-01-24T14:07:05Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.2140/memocs.2019.7.99
language:
- iso: eng
page: 99-129
publication: Mathematics and Mechanics of Complex Systems
publication_identifier:
issn:
- 2325-3444
- 2326-7186
publication_status: published
quality_controlled: '1'
status: public
title: A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely
fiber reinforced plastics
type: journal_article
user_id: '335'
year: '2019'
...
---
_id: '19120'
author:
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Caylak I, Penner E, Mahnken R. A fuzzy uncertainty model for analytical and
numerical homogenization of transversely fiber reinforced plastics. PAMM.
Published online 2019. doi:10.1002/pamm.201900356
apa: Caylak, I., Penner, E., & Mahnken, R. (2019). A fuzzy uncertainty model
for analytical and numerical homogenization of transversely fiber reinforced plastics.
PAMM. https://doi.org/10.1002/pamm.201900356
bibtex: '@article{Caylak_Penner_Mahnken_2019, title={A fuzzy uncertainty model for
analytical and numerical homogenization of transversely fiber reinforced plastics},
DOI={10.1002/pamm.201900356},
journal={PAMM}, author={Caylak, Ismail and Penner, Eduard and Mahnken, Rolf},
year={2019} }'
chicago: Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “A Fuzzy Uncertainty Model
for Analytical and Numerical Homogenization of Transversely Fiber Reinforced Plastics.”
PAMM, 2019. https://doi.org/10.1002/pamm.201900356.
ieee: 'I. Caylak, E. Penner, and R. Mahnken, “A fuzzy uncertainty model for analytical
and numerical homogenization of transversely fiber reinforced plastics,” PAMM,
2019, doi: 10.1002/pamm.201900356.'
mla: Caylak, Ismail, et al. “A Fuzzy Uncertainty Model for Analytical and Numerical
Homogenization of Transversely Fiber Reinforced Plastics.” PAMM, 2019,
doi:10.1002/pamm.201900356.
short: I. Caylak, E. Penner, R. Mahnken, PAMM (2019).
date_created: 2020-09-08T10:23:48Z
date_updated: 2023-01-24T14:05:01Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201900356
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
status: public
title: A fuzzy uncertainty model for analytical and numerical homogenization of transversely
fiber reinforced plastics
type: journal_article
user_id: '335'
year: '2019'
...
---
_id: '19306'
author:
- first_name: Alex
full_name: Dridger, Alex
last_name: Dridger
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
citation:
ama: 'Dridger A, Caylak I, Mahnken R, Penner E. On the connection between possibility
theory and probability box theory in structural mechanics. In: 13th World Congress
in Computational Mechanics . ; 2018.'
apa: Dridger, A., Caylak, I., Mahnken, R., & Penner, E. (2018). On the connection
between possibility theory and probability box theory in structural mechanics.
13th World Congress in Computational Mechanics . 13th World Congress in
Computational Mechanics , New York.
bibtex: '@inproceedings{Dridger_Caylak_Mahnken_Penner_2018, title={On the connection
between possibility theory and probability box theory in structural mechanics},
booktitle={13th World Congress in Computational Mechanics }, author={Dridger,
Alex and Caylak, Ismail and Mahnken, Rolf and Penner, Eduard}, year={2018} }'
chicago: Dridger, Alex, Ismail Caylak, Rolf Mahnken, and Eduard Penner. “On the
Connection between Possibility Theory and Probability Box Theory in Structural
Mechanics.” In 13th World Congress in Computational Mechanics , 2018.
ieee: A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “On the connection between
possibility theory and probability box theory in structural mechanics,” presented
at the 13th World Congress in Computational Mechanics , New York, 2018.
mla: Dridger, Alex, et al. “On the Connection between Possibility Theory and Probability
Box Theory in Structural Mechanics.” 13th World Congress in Computational Mechanics
, 2018.
short: 'A. Dridger, I. Caylak, R. Mahnken, E. Penner, in: 13th World Congress in
Computational Mechanics , 2018.'
conference:
end_date: 2018-07-27
location: New York
name: '13th World Congress in Computational Mechanics '
start_date: 2018-07-22
date_created: 2020-09-11T10:04:36Z
date_updated: 2022-07-27T07:07:27Z
language:
- iso: eng
publication: '13th World Congress in Computational Mechanics '
status: public
title: On the connection between possibility theory and probability box theory in
structural mechanics
type: conference
user_id: '27973'
year: '2018'
...
---
_id: '19308'
author:
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
- first_name: Alex
full_name: Dridger, Alex
last_name: Dridger
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
citation:
ama: Caylak I, Penner E, Dridger A, Mahnken R. Stochastic hyperelastic modeling
considering dependency of material parameters. Computational Mechanics.
Published online 2018:1273-1285. doi:10.1007/s00466-018-1563-z
apa: Caylak, I., Penner, E., Dridger, A., & Mahnken, R. (2018). Stochastic hyperelastic
modeling considering dependency of material parameters. Computational Mechanics,
1273–1285. https://doi.org/10.1007/s00466-018-1563-z
bibtex: '@article{Caylak_Penner_Dridger_Mahnken_2018, title={Stochastic hyperelastic
modeling considering dependency of material parameters}, DOI={10.1007/s00466-018-1563-z},
journal={Computational Mechanics}, author={Caylak, Ismail and Penner, Eduard and
Dridger, Alex and Mahnken, Rolf}, year={2018}, pages={1273–1285} }'
chicago: Caylak, Ismail, Eduard Penner, Alex Dridger, and Rolf Mahnken. “Stochastic
Hyperelastic Modeling Considering Dependency of Material Parameters.” Computational
Mechanics, 2018, 1273–85. https://doi.org/10.1007/s00466-018-1563-z.
ieee: 'I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “Stochastic hyperelastic
modeling considering dependency of material parameters,” Computational Mechanics,
pp. 1273–1285, 2018, doi: 10.1007/s00466-018-1563-z.'
mla: Caylak, Ismail, et al. “Stochastic Hyperelastic Modeling Considering Dependency
of Material Parameters.” Computational Mechanics, 2018, pp. 1273–85, doi:10.1007/s00466-018-1563-z.
short: I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018)
1273–1285.
date_created: 2020-09-11T10:05:32Z
date_updated: 2022-07-27T07:05:15Z
doi: 10.1007/s00466-018-1563-z
language:
- iso: eng
page: 1273-1285
publication: Computational Mechanics
publication_identifier:
issn:
- 0178-7675
- 1432-0924
publication_status: published
status: public
title: Stochastic hyperelastic modeling considering dependency of material parameters
type: journal_article
user_id: '75'
year: '2018'
...
---
_id: '19303'
author:
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
- first_name: Alex
full_name: Dridger, Alex
last_name: Dridger
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
citation:
ama: Caylak I, Penner E, Dridger A, Mahnken R. A fuzzy‐stochastic model for transversely
fiber reinforced plastics. PAMM. Published online 2018. doi:10.1002/pamm.201800121
apa: Caylak, I., Penner, E., Dridger, A., & Mahnken, R. (2018). A fuzzy‐stochastic
model for transversely fiber reinforced plastics. PAMM. https://doi.org/10.1002/pamm.201800121
bibtex: '@article{Caylak_Penner_Dridger_Mahnken_2018, title={A fuzzy‐stochastic
model for transversely fiber reinforced plastics}, DOI={10.1002/pamm.201800121},
journal={PAMM}, author={Caylak, Ismail and Penner, Eduard and Dridger, Alex and
Mahnken, Rolf}, year={2018} }'
chicago: Caylak, Ismail, Eduard Penner, Alex Dridger, and Rolf Mahnken. “A Fuzzy‐stochastic
Model for Transversely Fiber Reinforced Plastics.” PAMM, 2018. https://doi.org/10.1002/pamm.201800121.
ieee: 'I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “A fuzzy‐stochastic model
for transversely fiber reinforced plastics,” PAMM, 2018, doi: 10.1002/pamm.201800121.'
mla: Caylak, Ismail, et al. “A Fuzzy‐stochastic Model for Transversely Fiber Reinforced
Plastics.” PAMM, 2018, doi:10.1002/pamm.201800121.
short: I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
date_created: 2020-09-11T09:49:21Z
date_updated: 2022-07-27T07:06:49Z
doi: 10.1002/pamm.201800121
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
status: public
title: A fuzzy‐stochastic model for transversely fiber reinforced plastics
type: journal_article
user_id: '75'
year: '2018'
...
---
_id: '19124'
author:
- first_name: Eduard
full_name: Penner, Eduard
id: '27973'
last_name: Penner
- first_name: Ismail
full_name: Caylak, Ismail
id: '75'
last_name: Caylak
- first_name: Alex
full_name: Dridger, Alex
last_name: Dridger
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Penner E, Caylak I, Dridger A, Mahnken R. Possibilistic and stochastic analysis
using for rubber‐like materials. PAMM. Published online 2018. doi:10.1002/pamm.201800153
apa: Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2018). Possibilistic
and stochastic analysis using for rubber‐like materials. PAMM. https://doi.org/10.1002/pamm.201800153
bibtex: '@article{Penner_Caylak_Dridger_Mahnken_2018, title={Possibilistic and stochastic
analysis using for rubber‐like materials}, DOI={10.1002/pamm.201800153},
journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Dridger, Alex and
Mahnken, Rolf}, year={2018} }'
chicago: Penner, Eduard, Ismail Caylak, Alex Dridger, and Rolf Mahnken. “Possibilistic
and Stochastic Analysis Using for Rubber‐like Materials.” PAMM, 2018. https://doi.org/10.1002/pamm.201800153.
ieee: 'E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “Possibilistic and stochastic
analysis using for rubber‐like materials,” PAMM, 2018, doi: 10.1002/pamm.201800153.'
mla: Penner, Eduard, et al. “Possibilistic and Stochastic Analysis Using for Rubber‐like
Materials.” PAMM, 2018, doi:10.1002/pamm.201800153.
short: E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).
date_created: 2020-09-08T10:25:18Z
date_updated: 2023-01-24T14:12:07Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201800153
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
status: public
title: Possibilistic and stochastic analysis using for rubber‐like materials
type: journal_article
user_id: '335'
year: '2018'
...