---
_id: '24388'
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 Thermodynamics of Dynamic Recrystallization
    for Viscoplasticity at Large Strains. In: <i>14th WCCM-ECCOMAS Congress</i>. ;
    2021. doi:<a href="https://doi.org/10.23967/wccm-eccomas.2020.261">10.23967/wccm-eccomas.2020.261</a>'
  apa: Westermann, H., &#38; Mahnken, R. (2021). On the Thermodynamics of Dynamic
    Recrystallization for Viscoplasticity at Large Strains. <i>14th WCCM-ECCOMAS Congress</i>.
    <a href="https://doi.org/10.23967/wccm-eccomas.2020.261">https://doi.org/10.23967/wccm-eccomas.2020.261</a>
  bibtex: '@inproceedings{Westermann_Mahnken_2021, title={On the Thermodynamics of
    Dynamic Recrystallization for Viscoplasticity at Large Strains}, DOI={<a href="https://doi.org/10.23967/wccm-eccomas.2020.261">10.23967/wccm-eccomas.2020.261</a>},
    booktitle={14th WCCM-ECCOMAS Congress}, author={Westermann, Hendrik and Mahnken,
    Rolf}, year={2021} }'
  chicago: Westermann, Hendrik, and Rolf Mahnken. “On the Thermodynamics of Dynamic
    Recrystallization for Viscoplasticity at Large Strains.” In <i>14th WCCM-ECCOMAS
    Congress</i>, 2021. <a href="https://doi.org/10.23967/wccm-eccomas.2020.261">https://doi.org/10.23967/wccm-eccomas.2020.261</a>.
  ieee: 'H. Westermann and R. Mahnken, “On the Thermodynamics of Dynamic Recrystallization
    for Viscoplasticity at Large Strains,” 2021, doi: <a href="https://doi.org/10.23967/wccm-eccomas.2020.261">10.23967/wccm-eccomas.2020.261</a>.'
  mla: Westermann, Hendrik, and Rolf Mahnken. “On the Thermodynamics of Dynamic Recrystallization
    for Viscoplasticity at Large Strains.” <i>14th WCCM-ECCOMAS Congress</i>, 2021,
    doi:<a href="https://doi.org/10.23967/wccm-eccomas.2020.261">10.23967/wccm-eccomas.2020.261</a>.
  short: 'H. Westermann, R. Mahnken, in: 14th WCCM-ECCOMAS Congress, 2021.'
date_created: 2021-09-14T11:54:38Z
date_updated: 2023-01-24T13:06:01Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.23967/wccm-eccomas.2020.261
language:
- iso: eng
publication: 14th WCCM-ECCOMAS Congress
publication_status: published
quality_controlled: '1'
status: public
title: On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large
  Strains
type: conference
user_id: '335'
year: '2021'
...
---
_id: '27774'
article_number: '111266'
author:
- first_name: Peter
  full_name: Lenz, Peter
  id: '49691'
  last_name: Lenz
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Lenz P, Mahnken R. A general framework for mean-field homogenization of multi-layered
    linear elastic composites subjected to thermal and curing induced strains. <i>International
    Journal of Solids and Structures</i>. Published online 2021. doi:<a href="https://doi.org/10.1016/j.ijsolstr.2021.111266">10.1016/j.ijsolstr.2021.111266</a>
  apa: Lenz, P., &#38; Mahnken, R. (2021). A general framework for mean-field homogenization
    of multi-layered linear elastic composites subjected to thermal and curing induced
    strains. <i>International Journal of Solids and Structures</i>, Article 111266.
    <a href="https://doi.org/10.1016/j.ijsolstr.2021.111266">https://doi.org/10.1016/j.ijsolstr.2021.111266</a>
  bibtex: '@article{Lenz_Mahnken_2021, title={A general framework for mean-field homogenization
    of multi-layered linear elastic composites subjected to thermal and curing induced
    strains}, DOI={<a href="https://doi.org/10.1016/j.ijsolstr.2021.111266">10.1016/j.ijsolstr.2021.111266</a>},
    number={111266}, journal={International Journal of Solids and Structures}, author={Lenz,
    Peter and Mahnken, Rolf}, year={2021} }'
  chicago: Lenz, Peter, and Rolf Mahnken. “A General Framework for Mean-Field Homogenization
    of Multi-Layered Linear Elastic Composites Subjected to Thermal and Curing Induced
    Strains.” <i>International Journal of Solids and Structures</i>, 2021. <a href="https://doi.org/10.1016/j.ijsolstr.2021.111266">https://doi.org/10.1016/j.ijsolstr.2021.111266</a>.
  ieee: 'P. Lenz and R. Mahnken, “A general framework for mean-field homogenization
    of multi-layered linear elastic composites subjected to thermal and curing induced
    strains,” <i>International Journal of Solids and Structures</i>, Art. no. 111266,
    2021, doi: <a href="https://doi.org/10.1016/j.ijsolstr.2021.111266">10.1016/j.ijsolstr.2021.111266</a>.'
  mla: Lenz, Peter, and Rolf Mahnken. “A General Framework for Mean-Field Homogenization
    of Multi-Layered Linear Elastic Composites Subjected to Thermal and Curing Induced
    Strains.” <i>International Journal of Solids and Structures</i>, 111266, 2021,
    doi:<a href="https://doi.org/10.1016/j.ijsolstr.2021.111266">10.1016/j.ijsolstr.2021.111266</a>.
  short: P. Lenz, R. Mahnken, International Journal of Solids and Structures (2021).
date_created: 2021-11-23T23:14:09Z
date_updated: 2023-01-24T13:00:59Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.ijsolstr.2021.111266
language:
- iso: eng
publication: International Journal of Solids and Structures
publication_identifier:
  issn:
  - 0020-7683
publication_status: published
quality_controlled: '1'
status: public
title: A general framework for mean-field homogenization of multi-layered linear elastic
  composites subjected to thermal and curing induced strains
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '29088'
article_number: '111103'
author:
- first_name: X.
  full_name: Ju, X.
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Y.
  full_name: Xu, Y.
  last_name: Xu
- first_name: L.
  full_name: Liang, L.
  last_name: Liang
- first_name: W.
  full_name: Zhou, W.
  last_name: Zhou
citation:
  ama: Ju X, Mahnken R, Xu Y, Liang L, Zhou W. A nonuniform transformation field analysis
    for composites with strength difference effects in elastoplasticity. <i>International
    Journal of Solids and Structures</i>. Published online 2021. doi:<a href="https://doi.org/10.1016/j.ijsolstr.2021.111103">10.1016/j.ijsolstr.2021.111103</a>
  apa: Ju, X., Mahnken, R., Xu, Y., Liang, L., &#38; Zhou, W. (2021). A nonuniform
    transformation field analysis for composites with strength difference effects
    in elastoplasticity. <i>International Journal of Solids and Structures</i>, Article
    111103. <a href="https://doi.org/10.1016/j.ijsolstr.2021.111103">https://doi.org/10.1016/j.ijsolstr.2021.111103</a>
  bibtex: '@article{Ju_Mahnken_Xu_Liang_Zhou_2021, title={A nonuniform transformation
    field analysis for composites with strength difference effects in elastoplasticity},
    DOI={<a href="https://doi.org/10.1016/j.ijsolstr.2021.111103">10.1016/j.ijsolstr.2021.111103</a>},
    number={111103}, journal={International Journal of Solids and Structures}, author={Ju,
    X. and Mahnken, Rolf and Xu, Y. and Liang, L. and Zhou, W.}, year={2021} }'
  chicago: Ju, X., Rolf Mahnken, Y. Xu, L. Liang, and W. Zhou. “A Nonuniform Transformation
    Field Analysis for Composites with Strength Difference Effects in Elastoplasticity.”
    <i>International Journal of Solids and Structures</i>, 2021. <a href="https://doi.org/10.1016/j.ijsolstr.2021.111103">https://doi.org/10.1016/j.ijsolstr.2021.111103</a>.
  ieee: 'X. Ju, R. Mahnken, Y. Xu, L. Liang, and W. Zhou, “A nonuniform transformation
    field analysis for composites with strength difference effects in elastoplasticity,”
    <i>International Journal of Solids and Structures</i>, Art. no. 111103, 2021,
    doi: <a href="https://doi.org/10.1016/j.ijsolstr.2021.111103">10.1016/j.ijsolstr.2021.111103</a>.'
  mla: Ju, X., et al. “A Nonuniform Transformation Field Analysis for Composites with
    Strength Difference Effects in Elastoplasticity.” <i>International Journal of
    Solids and Structures</i>, 111103, 2021, doi:<a href="https://doi.org/10.1016/j.ijsolstr.2021.111103">10.1016/j.ijsolstr.2021.111103</a>.
  short: X. Ju, R. Mahnken, Y. Xu, L. Liang, W. Zhou, International Journal of Solids
    and Structures (2021).
date_created: 2021-12-22T12:39:10Z
date_updated: 2023-01-24T12:56:29Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.ijsolstr.2021.111103
language:
- iso: eng
publication: International Journal of Solids and Structures
publication_identifier:
  issn:
  - 0020-7683
publication_status: published
quality_controlled: '1'
status: public
title: A nonuniform transformation field analysis for composites with strength difference
  effects in elastoplasticity
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. <i>Computer Methods
    in Applied Mechanics and Engineering</i>. Published online 2021. doi:<a href="https://doi.org/10.1016/j.cma.2021.114070">10.1016/j.cma.2021.114070</a>
  apa: Henkes, A., Caylak, I., &#38; Mahnken, R. (2021). A deep learning driven pseudospectral
    PCE based FFT homogenization algorithm for complex microstructures. <i>Computer
    Methods in Applied Mechanics and Engineering</i>, Article 114070. <a href="https://doi.org/10.1016/j.cma.2021.114070">https://doi.org/10.1016/j.cma.2021.114070</a>
  bibtex: '@article{Henkes_Caylak_Mahnken_2021, title={A deep learning driven pseudospectral
    PCE based FFT homogenization algorithm for complex microstructures}, DOI={<a href="https://doi.org/10.1016/j.cma.2021.114070">10.1016/j.cma.2021.114070</a>},
    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.”
    <i>Computer Methods in Applied Mechanics and Engineering</i>, 2021. <a href="https://doi.org/10.1016/j.cma.2021.114070">https://doi.org/10.1016/j.cma.2021.114070</a>.
  ieee: 'A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven pseudospectral
    PCE based FFT homogenization algorithm for complex microstructures,” <i>Computer
    Methods in Applied Mechanics and Engineering</i>, Art. no. 114070, 2021, doi:
    <a href="https://doi.org/10.1016/j.cma.2021.114070">10.1016/j.cma.2021.114070</a>.'
  mla: Henkes, Alexander, et al. “A Deep Learning Driven Pseudospectral PCE Based
    FFT Homogenization Algorithm for Complex Microstructures.” <i>Computer Methods
    in Applied Mechanics and Engineering</i>, 114070, 2021, doi:<a href="https://doi.org/10.1016/j.cma.2021.114070">10.1016/j.cma.2021.114070</a>.
  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: '29085'
author:
- first_name: C.
  full_name: Cheng, C.
  last_name: Cheng
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Cheng C, Mahnken R. A modified Zerilli–Armstrong model as the asymmetric visco-plastic
    part of a multi-mechanism model for cutting simulations. <i>Archive of Applied
    Mechanics</i>. Published online 2021:3869-3888. doi:<a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>
  apa: Cheng, C., &#38; Mahnken, R. (2021). A modified Zerilli–Armstrong model as
    the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations.
    <i>Archive of Applied Mechanics</i>, 3869–3888. <a href="https://doi.org/10.1007/s00419-021-01982-6">https://doi.org/10.1007/s00419-021-01982-6</a>
  bibtex: '@article{Cheng_Mahnken_2021, title={A modified Zerilli–Armstrong model
    as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations},
    DOI={<a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>},
    journal={Archive of Applied Mechanics}, author={Cheng, C. and Mahnken, Rolf},
    year={2021}, pages={3869–3888} }'
  chicago: Cheng, C., and Rolf Mahnken. “A Modified Zerilli–Armstrong Model as the
    Asymmetric Visco-Plastic Part of a Multi-Mechanism Model for Cutting Simulations.”
    <i>Archive of Applied Mechanics</i>, 2021, 3869–88. <a href="https://doi.org/10.1007/s00419-021-01982-6">https://doi.org/10.1007/s00419-021-01982-6</a>.
  ieee: 'C. Cheng and R. Mahnken, “A modified Zerilli–Armstrong model as the asymmetric
    visco-plastic part of a multi-mechanism model for cutting simulations,” <i>Archive
    of Applied Mechanics</i>, pp. 3869–3888, 2021, doi: <a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>.'
  mla: Cheng, C., and Rolf Mahnken. “A Modified Zerilli–Armstrong Model as the Asymmetric
    Visco-Plastic Part of a Multi-Mechanism Model for Cutting Simulations.” <i>Archive
    of Applied Mechanics</i>, 2021, pp. 3869–88, doi:<a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>.
  short: C. Cheng, R. Mahnken, Archive of Applied Mechanics (2021) 3869–3888.
date_created: 2021-12-22T12:28:40Z
date_updated: 2023-01-24T12:57:22Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-021-01982-6
language:
- iso: eng
page: 3869-3888
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
quality_controlled: '1'
status: public
title: A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of
  a multi-mechanism model for cutting simulations
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '29092'
article_number: '106671'
author:
- first_name: X.
  full_name: Ju, X.
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: L.
  full_name: Liang, L.
  last_name: Liang
- first_name: Y.
  full_name: Xu, Y.
  last_name: Xu
citation:
  ama: Ju X, Mahnken R, Liang L, Xu Y. Goal-oriented mesh adaptivity for inverse problems
    in linear micromorphic elasticity. <i>Computers &#38; Structures</i>. Published
    online 2021. doi:<a href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>
  apa: Ju, X., Mahnken, R., Liang, L., &#38; Xu, Y. (2021). Goal-oriented mesh adaptivity
    for inverse problems in linear micromorphic elasticity. <i>Computers &#38; Structures</i>,
    Article 106671. <a href="https://doi.org/10.1016/j.compstruc.2021.106671">https://doi.org/10.1016/j.compstruc.2021.106671</a>
  bibtex: '@article{Ju_Mahnken_Liang_Xu_2021, title={Goal-oriented mesh adaptivity
    for inverse problems in linear micromorphic elasticity}, DOI={<a href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>},
    number={106671}, journal={Computers &#38; Structures}, author={Ju, X. and Mahnken,
    Rolf and Liang, L. and Xu, Y.}, year={2021} }'
  chicago: Ju, X., Rolf Mahnken, L. Liang, and Y. Xu. “Goal-Oriented Mesh Adaptivity
    for Inverse Problems in Linear Micromorphic Elasticity.” <i>Computers &#38; Structures</i>,
    2021. <a href="https://doi.org/10.1016/j.compstruc.2021.106671">https://doi.org/10.1016/j.compstruc.2021.106671</a>.
  ieee: 'X. Ju, R. Mahnken, L. Liang, and Y. Xu, “Goal-oriented mesh adaptivity for
    inverse problems in linear micromorphic elasticity,” <i>Computers &#38; Structures</i>,
    Art. no. 106671, 2021, doi: <a href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>.'
  mla: Ju, X., et al. “Goal-Oriented Mesh Adaptivity for Inverse Problems in Linear
    Micromorphic Elasticity.” <i>Computers &#38; Structures</i>, 106671, 2021, doi:<a
    href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>.
  short: X. Ju, R. Mahnken, L. Liang, Y. Xu, Computers &#38; Structures (2021).
date_created: 2021-12-22T12:45:21Z
date_updated: 2023-01-24T12:58:14Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruc.2021.106671
language:
- iso: eng
publication: Computers & Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
quality_controlled: '1'
status: public
title: Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '29090'
author:
- first_name: Peter
  full_name: Lenz, Peter
  id: '49691'
  last_name: Lenz
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Lenz P, Mahnken R. Integral‐type non‐local damage simulation of composites
    using mean‐field homogenization methods. <i>PAMM</i>. Published online 2021. doi:<a
    href="https://doi.org/10.1002/pamm.202100081">10.1002/pamm.202100081</a>
  apa: Lenz, P., &#38; Mahnken, R. (2021). Integral‐type non‐local damage simulation
    of composites using mean‐field homogenization methods. <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.202100081">https://doi.org/10.1002/pamm.202100081</a>
  bibtex: '@article{Lenz_Mahnken_2021, title={Integral‐type non‐local damage simulation
    of composites using mean‐field homogenization methods}, DOI={<a href="https://doi.org/10.1002/pamm.202100081">10.1002/pamm.202100081</a>},
    journal={PAMM}, author={Lenz, Peter and Mahnken, Rolf}, year={2021} }'
  chicago: Lenz, Peter, and Rolf Mahnken. “Integral‐type Non‐local Damage Simulation
    of Composites Using Mean‐field Homogenization Methods.” <i>PAMM</i>, 2021. <a
    href="https://doi.org/10.1002/pamm.202100081">https://doi.org/10.1002/pamm.202100081</a>.
  ieee: 'P. Lenz and R. Mahnken, “Integral‐type non‐local damage simulation of composites
    using mean‐field homogenization methods,” <i>PAMM</i>, 2021, doi: <a href="https://doi.org/10.1002/pamm.202100081">10.1002/pamm.202100081</a>.'
  mla: Lenz, Peter, and Rolf Mahnken. “Integral‐type Non‐local Damage Simulation of
    Composites Using Mean‐field Homogenization Methods.” <i>PAMM</i>, 2021, doi:<a
    href="https://doi.org/10.1002/pamm.202100081">10.1002/pamm.202100081</a>.
  short: P. Lenz, R. Mahnken, PAMM (2021).
date_created: 2021-12-22T12:43:20Z
date_updated: 2023-01-24T12:59:22Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202100081
language:
- iso: eng
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
status: public
title: Integral‐type non‐local damage simulation of composites using mean‐field homogenization
  methods
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '29091'
author:
- first_name: Alexander
  full_name: Henkes, Alexander
  id: '32416'
  last_name: Henkes
- first_name: Henning
  full_name: Wessels, Henning
  last_name: Wessels
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Henkes A, Wessels H, Mahnken R. Physics informed neural networks for continuum
    micromechanics. <i>PAMM</i>. Published online 2021. doi:<a href="https://doi.org/10.1002/pamm.202100040">10.1002/pamm.202100040</a>
  apa: Henkes, A., Wessels, H., &#38; Mahnken, R. (2021). Physics informed neural
    networks for continuum micromechanics. <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.202100040">https://doi.org/10.1002/pamm.202100040</a>
  bibtex: '@article{Henkes_Wessels_Mahnken_2021, title={Physics informed neural networks
    for continuum micromechanics}, DOI={<a href="https://doi.org/10.1002/pamm.202100040">10.1002/pamm.202100040</a>},
    journal={PAMM}, author={Henkes, Alexander and Wessels, Henning and Mahnken, Rolf},
    year={2021} }'
  chicago: Henkes, Alexander, Henning Wessels, and Rolf Mahnken. “Physics Informed
    Neural Networks for Continuum Micromechanics.” <i>PAMM</i>, 2021. <a href="https://doi.org/10.1002/pamm.202100040">https://doi.org/10.1002/pamm.202100040</a>.
  ieee: 'A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks
    for continuum micromechanics,” <i>PAMM</i>, 2021, doi: <a href="https://doi.org/10.1002/pamm.202100040">10.1002/pamm.202100040</a>.'
  mla: Henkes, Alexander, et al. “Physics Informed Neural Networks for Continuum Micromechanics.”
    <i>PAMM</i>, 2021, doi:<a href="https://doi.org/10.1002/pamm.202100040">10.1002/pamm.202100040</a>.
  short: A. Henkes, H. Wessels, R. Mahnken, PAMM (2021).
date_created: 2021-12-22T12:44:54Z
date_updated: 2023-01-24T13:00:10Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202100040
language:
- iso: eng
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
status: public
title: Physics informed neural networks for continuum micromechanics
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '23431'
abstract:
- lang: eng
  text: As an effective and accurate method for modelling composite materials, mean-field
    homogenization is still not well studied in modelling non-linear and damage behaviours
    of UD composites. Investigated micro FE-simulations show that the matrix of UD
    composites exhibits different average plastic behaviour, named as average asymmetric
    matrix plasticity (AAMP), when the composite behaves different under shear, longitudinal
    and transverse loadings. In this study, a non-linear mean-field debonding model
    (NMFDM) combining a mean-field model and a fibre–matrix interface debonding model,
    is developed to simulate UD composites under consideration of AAMP, fibre–matrix
    interface damage and progressive failure. AAMP is considered by using so-called
    stress mode factor, which is expressed in terms of basic invariants of the matrix
    deviatoric stress tensor and is used as an indicator for detection of differences
    in the loading mode. The material behaviour of UD composites with imperfect interface
    is assumed identical as for perfect interface and stiffness reduced fibres. Progressive
    failure criteria are established with consideration of fibre breakage and matrix
    crack for different fibre orientations. As a representative example for the NMFDM,
    a C30/E201 UD composite is studied. To verify the model, experiments are conducted
    on polymers, carbon fibres and UD CFRPs. Finally, the model is applied to simulate
    a perforated CFRP laminate, which shows excellent prediction ability on deformation,
    debonding and progressive failure.
article_number: '109209'
author:
- first_name: C.
  full_name: Cheng, C.
  last_name: Cheng
- first_name: Z.
  full_name: Wang, Z.
  last_name: Wang
- first_name: Z.
  full_name: Jin, Z.
  last_name: Jin
- first_name: X.
  full_name: Ju, X.
  last_name: Ju
- first_name: Swetlana
  full_name: Schweizer, Swetlana
  id: '8938'
  last_name: Schweizer
- first_name: Thomas
  full_name: Tröster, Thomas
  id: '553'
  last_name: Tröster
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: 'Cheng C, Wang Z, Jin Z, et al. Non-linear mean-field modelling of UD composite
    laminates accounting for average asymmetric plasticity of the matrix, debonding
    and progressive failure. <i>Composites Part B: Engineering</i>. 2021;224. doi:<a
    href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>'
  apa: 'Cheng, C., Wang, Z., Jin, Z., Ju, X., Schweizer, S., Tröster, T., &#38; Mahnken,
    R. (2021). Non-linear mean-field modelling of UD composite laminates accounting
    for average asymmetric plasticity of the matrix, debonding and progressive failure.
    <i>Composites Part B: Engineering</i>, <i>224</i>, Article 109209. <a href="https://doi.org/10.1016/j.compositesb.2021.109209">https://doi.org/10.1016/j.compositesb.2021.109209</a>'
  bibtex: '@article{Cheng_Wang_Jin_Ju_Schweizer_Tröster_Mahnken_2021, title={Non-linear
    mean-field modelling of UD composite laminates accounting for average asymmetric
    plasticity of the matrix, debonding and progressive failure}, volume={224}, DOI={<a
    href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>},
    number={109209}, journal={Composites Part B: Engineering}, author={Cheng, C. and
    Wang, Z. and Jin, Z. and Ju, X. and Schweizer, Swetlana and Tröster, Thomas and
    Mahnken, Rolf}, year={2021} }'
  chicago: 'Cheng, C., Z. Wang, Z. Jin, X. Ju, Swetlana Schweizer, Thomas Tröster,
    and Rolf Mahnken. “Non-Linear Mean-Field Modelling of UD Composite Laminates Accounting
    for Average Asymmetric Plasticity of the Matrix, Debonding and Progressive Failure.”
    <i>Composites Part B: Engineering</i> 224 (2021). <a href="https://doi.org/10.1016/j.compositesb.2021.109209">https://doi.org/10.1016/j.compositesb.2021.109209</a>.'
  ieee: 'C. Cheng <i>et al.</i>, “Non-linear mean-field modelling of UD composite
    laminates accounting for average asymmetric plasticity of the matrix, debonding
    and progressive failure,” <i>Composites Part B: Engineering</i>, vol. 224, Art.
    no. 109209, 2021, doi: <a href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>.'
  mla: 'Cheng, C., et al. “Non-Linear Mean-Field Modelling of UD Composite Laminates
    Accounting for Average Asymmetric Plasticity of the Matrix, Debonding and Progressive
    Failure.” <i>Composites Part B: Engineering</i>, vol. 224, 109209, 2021, doi:<a
    href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>.'
  short: 'C. Cheng, Z. Wang, Z. Jin, X. Ju, S. Schweizer, T. Tröster, R. Mahnken,
    Composites Part B: Engineering 224 (2021).'
date_created: 2021-08-18T06:20:21Z
date_updated: 2025-06-06T08:08:32Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
- _id: '149'
doi: 10.1016/j.compositesb.2021.109209
intvolume: '       224'
keyword:
- Non-linear mean-field homogenization Average asymmetric plasticity of matrix Fibre–matrix
  interface debonding Micro-mechanical FE-simulation Progressive failure
language:
- iso: eng
publication: 'Composites Part B: Engineering'
publication_identifier:
  issn:
  - 1359-8368
publication_status: published
quality_controlled: '1'
status: public
title: Non-linear mean-field modelling of UD composite laminates accounting for average
  asymmetric plasticity of the matrix, debonding and progressive failure
type: journal_article
user_id: '15952'
volume: 224
year: '2021'
...
---
_id: '29086'
author:
- first_name: Welf-G
  full_name: Drossel, Welf-G
  last_name: Drossel
- first_name: Mathias
  full_name: Bobbert, Mathias
  id: '7850'
  last_name: Bobbert
- first_name: Marcus
  full_name: Böhme, Marcus
  last_name: Böhme
- first_name: Christian
  full_name: Dammann, Christian
  last_name: Dammann
- first_name: Axel
  full_name: Dittes, Axel
  last_name: Dittes
- first_name: Mina
  full_name: Gießmann, Mina
  last_name: Gießmann
- first_name: Christian
  full_name: Hühne, Christian
  last_name: Hühne
- first_name: Jörn
  full_name: Ihlemann, Jörn
  last_name: Ihlemann
- first_name: Robert
  full_name: Kießling, Robert
  last_name: Kießling
- first_name: Thomas
  full_name: Lampke, Thomas
  last_name: Lampke
- first_name: Peter
  full_name: Lenz, Peter
  id: '49691'
  last_name: Lenz
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Gerson
  full_name: Meschut, Gerson
  id: '32056'
  last_name: Meschut
  orcid: 0000-0002-2763-1246
- first_name: Roland
  full_name: Müller, Roland
  last_name: Müller
- first_name: Matthias
  full_name: Nier, Matthias
  last_name: Nier
- first_name: Robert
  full_name: Prussak, Robert
  last_name: Prussak
- first_name: Matthias
  full_name: Riemer, Matthias
  last_name: Riemer
- first_name: Sascha
  full_name: Sander, Sascha
  id: '23175'
  last_name: Sander
- first_name: Mirko
  full_name: Schaper, Mirko
  id: '43720'
  last_name: Schaper
- first_name: Ingolf
  full_name: Scharf, Ingolf
  last_name: Scharf
- first_name: Mario
  full_name: Scholze, Mario
  last_name: Scholze
- first_name: Stephan-Daniel
  full_name: Schwöbel, Stephan-Daniel
  last_name: Schwöbel
- first_name: Semen
  full_name: Sharafiev, Semen
  last_name: Sharafiev
- first_name: Michael
  full_name: Sinapius, Michael
  last_name: Sinapius
- first_name: Daniel
  full_name: Stefaniak, Daniel
  last_name: Stefaniak
- first_name: Thomas
  full_name: Tröster, Thomas
  id: '553'
  last_name: Tröster
- first_name: Martin F. -X.
  full_name: Wagner, Martin F. -X.
  last_name: Wagner
- first_name: Zheng
  full_name: Wang, Zheng
  last_name: Wang
- first_name: Carolin
  full_name: Zinn, Carolin
  last_name: Zinn
citation:
  ama: 'Drossel W-G, Bobbert M, Böhme M, et al. Hybridprofile für Trag- und Crashstrukturen.
    In: <i>Intrinsische Hybridverbunde Für Leichtbautragstrukturen</i>. ; 2021. doi:<a
    href="https://doi.org/10.1007/978-3-662-62833-1_3">10.1007/978-3-662-62833-1_3</a>'
  apa: Drossel, W.-G., Bobbert, M., Böhme, M., Dammann, C., Dittes, A., Gießmann,
    M., Hühne, C., Ihlemann, J., Kießling, R., Lampke, T., Lenz, P., Mahnken, R.,
    Meschut, G., Müller, R., Nier, M., Prussak, R., Riemer, M., Sander, S., Schaper,
    M., … Zinn, C. (2021). Hybridprofile für Trag- und Crashstrukturen. In <i>Intrinsische
    Hybridverbunde für Leichtbautragstrukturen</i>. <a href="https://doi.org/10.1007/978-3-662-62833-1_3">https://doi.org/10.1007/978-3-662-62833-1_3</a>
  bibtex: '@inbook{Drossel_Bobbert_Böhme_Dammann_Dittes_Gießmann_Hühne_Ihlemann_Kießling_Lampke_et
    al._2021, place={Berlin, Heidelberg}, title={Hybridprofile für Trag- und Crashstrukturen},
    DOI={<a href="https://doi.org/10.1007/978-3-662-62833-1_3">10.1007/978-3-662-62833-1_3</a>},
    booktitle={Intrinsische Hybridverbunde für Leichtbautragstrukturen}, author={Drossel,
    Welf-G and Bobbert, Mathias and Böhme, Marcus and Dammann, Christian and Dittes,
    Axel and Gießmann, Mina and Hühne, Christian and Ihlemann, Jörn and Kießling,
    Robert and Lampke, Thomas and et al.}, year={2021} }'
  chicago: Drossel, Welf-G, Mathias Bobbert, Marcus Böhme, Christian Dammann, Axel
    Dittes, Mina Gießmann, Christian Hühne, et al. “Hybridprofile Für Trag- Und Crashstrukturen.”
    In <i>Intrinsische Hybridverbunde Für Leichtbautragstrukturen</i>. Berlin, Heidelberg,
    2021. <a href="https://doi.org/10.1007/978-3-662-62833-1_3">https://doi.org/10.1007/978-3-662-62833-1_3</a>.
  ieee: W.-G. Drossel <i>et al.</i>, “Hybridprofile für Trag- und Crashstrukturen,”
    in <i>Intrinsische Hybridverbunde für Leichtbautragstrukturen</i>, Berlin, Heidelberg,
    2021.
  mla: Drossel, Welf-G., et al. “Hybridprofile Für Trag- Und Crashstrukturen.” <i>Intrinsische
    Hybridverbunde Für Leichtbautragstrukturen</i>, 2021, doi:<a href="https://doi.org/10.1007/978-3-662-62833-1_3">10.1007/978-3-662-62833-1_3</a>.
  short: 'W.-G. Drossel, M. Bobbert, M. Böhme, C. Dammann, A. Dittes, M. Gießmann,
    C. Hühne, J. Ihlemann, R. Kießling, T. Lampke, P. Lenz, R. Mahnken, G. Meschut,
    R. Müller, M. Nier, R. Prussak, M. Riemer, S. Sander, M. Schaper, I. Scharf, M.
    Scholze, S.-D. Schwöbel, S. Sharafiev, M. Sinapius, D. Stefaniak, T. Tröster,
    M.F.-X. Wagner, Z. Wang, C. Zinn, in: Intrinsische Hybridverbunde Für Leichtbautragstrukturen,
    Berlin, Heidelberg, 2021.'
date_created: 2021-12-22T12:29:50Z
date_updated: 2025-06-06T08:09:10Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
- _id: '149'
doi: 10.1007/978-3-662-62833-1_3
language:
- iso: eng
place: Berlin, Heidelberg
publication: Intrinsische Hybridverbunde für Leichtbautragstrukturen
publication_identifier:
  isbn:
  - '9783662628324'
  - '9783662628331'
publication_status: published
quality_controlled: '1'
status: public
title: Hybridprofile für Trag- und Crashstrukturen
type: book_chapter
user_id: '15952'
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. <i>Computer Methods in
    Applied Mechanics and Engineering</i>. Published online 2020. doi:<a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>
  apa: Caylak, I., Penner, E., &#38; Mahnken, R. (2020). Mean-field and full-field
    homogenization with polymorphic uncertain geometry and material parameters. <i>Computer
    Methods in Applied Mechanics and Engineering</i>, Article 113439. <a href="https://doi.org/10.1016/j.cma.2020.113439">https://doi.org/10.1016/j.cma.2020.113439</a>
  bibtex: '@article{Caylak_Penner_Mahnken_2020, title={Mean-field and full-field homogenization
    with polymorphic uncertain geometry and material parameters}, DOI={<a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>},
    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.” <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 2020. <a href="https://doi.org/10.1016/j.cma.2020.113439">https://doi.org/10.1016/j.cma.2020.113439</a>.
  ieee: 'I. Caylak, E. Penner, and R. Mahnken, “Mean-field and full-field homogenization
    with polymorphic uncertain geometry and material parameters,” <i>Computer Methods
    in Applied Mechanics and Engineering</i>, Art. no. 113439, 2020, doi: <a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>.'
  mla: Caylak, Ismail, et al. “Mean-Field and Full-Field Homogenization with Polymorphic
    Uncertain Geometry and Material Parameters.” <i>Computer Methods in Applied Mechanics
    and Engineering</i>, 113439, 2020, doi:<a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>.
  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: '13431'
author:
- first_name: A.
  full_name: Dridger, A.
  last_name: Dridger
- first_name: I.
  full_name: Caylak, I.
  last_name: Caylak
- first_name: R.
  full_name: Mahnken, R.
  last_name: Mahnken
- first_name: E.
  full_name: Penner, E.
  last_name: Penner
citation:
  ama: Dridger A, Caylak I, Mahnken R, Penner E. “A possibilistic finite element method
    for sparse data.” <i>Safety and Reliability</i>. 2019:58-82. doi:<a href="https://doi.org/10.1080/09617353.2018.1552477">10.1080/09617353.2018.1552477</a>
  apa: Dridger, A., Caylak, I., Mahnken, R., &#38; Penner, E. (2019). “A possibilistic
    finite element method for sparse data.” <i>Safety and Reliability</i>, 58–82.
    <a href="https://doi.org/10.1080/09617353.2018.1552477">https://doi.org/10.1080/09617353.2018.1552477</a>
  bibtex: '@article{Dridger_Caylak_Mahnken_Penner_2019, title={“A possibilistic finite
    element method for sparse data”}, DOI={<a href="https://doi.org/10.1080/09617353.2018.1552477">10.1080/09617353.2018.1552477</a>},
    journal={Safety and Reliability}, author={Dridger, A. and Caylak, I. and Mahnken,
    R. and Penner, E.}, year={2019}, pages={58–82} }'
  chicago: Dridger, A., I. Caylak, R. Mahnken, and E. Penner. “‘A Possibilistic Finite
    Element Method for Sparse Data.’” <i>Safety and Reliability</i>, 2019, 58–82.
    <a href="https://doi.org/10.1080/09617353.2018.1552477">https://doi.org/10.1080/09617353.2018.1552477</a>.
  ieee: A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “‘A possibilistic finite
    element method for sparse data,’” <i>Safety and Reliability</i>, pp. 58–82, 2019.
  mla: Dridger, A., et al. “‘A Possibilistic Finite Element Method for Sparse Data.’”
    <i>Safety and Reliability</i>, 2019, pp. 58–82, doi:<a href="https://doi.org/10.1080/09617353.2018.1552477">10.1080/09617353.2018.1552477</a>.
  short: A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019)
    58–82.
date_created: 2019-09-20T12:44:28Z
date_updated: 2022-01-06T06:51:36Z
department:
- _id: '154'
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: '78813'
year: '2019'
...
---
_id: '13432'
author:
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Ju X, Mahnken R. “Goal-oriented h-type adaptive finite elements for micromorphic
    elastoplasticity.” <i>Computer Methods in Applied Mechanics and Engineering</i>.
    2019:297-329. doi:<a href="https://doi.org/10.1016/j.cma.2019.01.031">10.1016/j.cma.2019.01.031</a>
  apa: Ju, X., &#38; Mahnken, R. (2019). “Goal-oriented h-type adaptive finite elements
    for micromorphic elastoplasticity.” <i>Computer Methods in Applied Mechanics and
    Engineering</i>, 297–329. <a href="https://doi.org/10.1016/j.cma.2019.01.031">https://doi.org/10.1016/j.cma.2019.01.031</a>
  bibtex: '@article{Ju_Mahnken_2019, title={“Goal-oriented h-type adaptive finite
    elements for micromorphic elastoplasticity”}, DOI={<a href="https://doi.org/10.1016/j.cma.2019.01.031">10.1016/j.cma.2019.01.031</a>},
    journal={Computer Methods in Applied Mechanics and Engineering}, author={Ju, Xiaozhe
    and Mahnken, Rolf}, year={2019}, pages={297–329} }'
  chicago: Ju, Xiaozhe, and Rolf Mahnken. “‘Goal-Oriented h-Type Adaptive Finite Elements
    for Micromorphic Elastoplasticity.’” <i>Computer Methods in Applied Mechanics
    and Engineering</i>, 2019, 297–329. <a href="https://doi.org/10.1016/j.cma.2019.01.031">https://doi.org/10.1016/j.cma.2019.01.031</a>.
  ieee: X. Ju and R. Mahnken, “‘Goal-oriented h-type adaptive finite elements for
    micromorphic elastoplasticity,’” <i>Computer Methods in Applied Mechanics and
    Engineering</i>, pp. 297–329, 2019.
  mla: Ju, Xiaozhe, and Rolf Mahnken. “‘Goal-Oriented h-Type Adaptive Finite Elements
    for Micromorphic Elastoplasticity.’” <i>Computer Methods in Applied Mechanics
    and Engineering</i>, 2019, pp. 297–329, doi:<a href="https://doi.org/10.1016/j.cma.2019.01.031">10.1016/j.cma.2019.01.031</a>.
  short: X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering
    (2019) 297–329.
date_created: 2019-09-20T12:53:03Z
date_updated: 2022-01-06T06:51:36Z
department:
- _id: '154'
doi: 10.1016/j.cma.2019.01.031
language:
- iso: eng
page: 297-329
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
  issn:
  - 0045-7825
publication_status: published
status: public
title: '"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"'
type: journal_article
user_id: '78813'
year: '2019'
...
---
_id: '13434'
article_number: e201900005
author:
- first_name: Markus
  full_name: Mäck, Markus
  last_name: Mäck
- first_name: Ismail
  full_name: Caylak, Ismail
  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
  last_name: Penner
citation:
  ama: Mäck M, Caylak I, Edler P, et al. “Optimization with constraints considering
    polymorphic uncertainties.” <i>GAMM-Mitteilungen</i>. 2019. doi:<a href="https://doi.org/10.1002/gamm.201900005">10.1002/gamm.201900005</a>
  apa: Mäck, M., Caylak, I., Edler, P., Freitag, S., Hanss, M., Mahnken, R., … Penner,
    E. (2019). “Optimization with constraints considering polymorphic uncertainties.”
    <i>GAMM-Mitteilungen</i>. <a href="https://doi.org/10.1002/gamm.201900005">https://doi.org/10.1002/gamm.201900005</a>
  bibtex: '@article{Mäck_Caylak_Edler_Freitag_Hanss_Mahnken_Meschke_Penner_2019, title={“Optimization
    with constraints considering polymorphic uncertainties”}, DOI={<a href="https://doi.org/10.1002/gamm.201900005">10.1002/gamm.201900005</a>},
    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.’” <i>GAMM-Mitteilungen</i>, 2019. <a href="https://doi.org/10.1002/gamm.201900005">https://doi.org/10.1002/gamm.201900005</a>.
  ieee: M. Mäck <i>et al.</i>, “‘Optimization with constraints considering polymorphic
    uncertainties,’” <i>GAMM-Mitteilungen</i>, 2019.
  mla: Mäck, Markus, et al. “‘Optimization with Constraints Considering Polymorphic
    Uncertainties.’” <i>GAMM-Mitteilungen</i>, e201900005, 2019, doi:<a href="https://doi.org/10.1002/gamm.201900005">10.1002/gamm.201900005</a>.
  short: M. Mäck, I. Caylak, P. Edler, S. Freitag, M. Hanss, R. Mahnken, G. Meschke,
    E. Penner, GAMM-Mitteilungen (2019).
date_created: 2019-09-20T13:21:03Z
date_updated: 2022-01-06T06:51:36Z
department:
- _id: '154'
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: '78813'
year: '2019'
...
---
_id: '13805'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
citation:
  ama: Mahnken R, Ju X. Goal‐oriented adaptivity based on a model hierarchy of mean‐field
    and full‐field homogenization methods in linear elasticity. <i>International Journal
    for Numerical Methods in Engineering</i>. 2019. doi:<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>
  apa: Mahnken, R., &#38; Ju, X. (2019). Goal‐oriented adaptivity based on a model
    hierarchy of mean‐field and full‐field homogenization methods in linear elasticity.
    <i>International Journal for Numerical Methods in Engineering</i>. <a href="https://doi.org/10.1002/nme.6209">https://doi.org/10.1002/nme.6209</a>
  bibtex: '@article{Mahnken_Ju_2019, title={Goal‐oriented adaptivity based on a model
    hierarchy of mean‐field and full‐field homogenization methods in linear elasticity},
    DOI={<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>}, journal={International
    Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf and Ju, Xiaozhe},
    year={2019} }'
  chicago: Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model
    Hierarchy of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.”
    <i>International Journal for Numerical Methods in Engineering</i>, 2019. <a href="https://doi.org/10.1002/nme.6209">https://doi.org/10.1002/nme.6209</a>.
  ieee: R. Mahnken and X. Ju, “Goal‐oriented adaptivity based on a model hierarchy
    of mean‐field and full‐field homogenization methods in linear elasticity,” <i>International
    Journal for Numerical Methods in Engineering</i>, 2019.
  mla: Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model Hierarchy
    of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.” <i>International
    Journal for Numerical Methods in Engineering</i>, 2019, doi:<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>.
  short: R. Mahnken, X. Ju, International Journal for Numerical Methods in Engineering
    (2019).
date_created: 2019-10-14T12:05:50Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
doi: 10.1002/nme.6209
language:
- iso: eng
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
status: public
title: Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field
  homogenization methods in linear elasticity
type: journal_article
user_id: '78813'
year: '2019'
...
---
_id: '13806'
author:
- first_name: Christian
  full_name: Dammann, Christian
  last_name: Dammann
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: 'Dammann C, Mahnken R. Simulation of a resin transfer molding process using
    a phase field approach within the theory of porous media. <i>Composites Part A:
    Applied Science and Manufacturing</i>. 2019;120:147-160. doi:<a href="https://doi.org/10.1016/j.compositesa.2019.02.022">10.1016/j.compositesa.2019.02.022</a>'
  apa: 'Dammann, C., &#38; Mahnken, R. (2019). Simulation of a resin transfer molding
    process using a phase field approach within the theory of porous media. <i>Composites
    Part A: Applied Science and Manufacturing</i>, <i>120</i>, 147–160. <a href="https://doi.org/10.1016/j.compositesa.2019.02.022">https://doi.org/10.1016/j.compositesa.2019.02.022</a>'
  bibtex: '@article{Dammann_Mahnken_2019, title={Simulation of a resin transfer molding
    process using a phase field approach within the theory of porous media}, volume={120},
    DOI={<a href="https://doi.org/10.1016/j.compositesa.2019.02.022">10.1016/j.compositesa.2019.02.022</a>},
    journal={Composites Part A: Applied Science and Manufacturing}, author={Dammann,
    Christian and Mahnken, Rolf}, year={2019}, pages={147–160} }'
  chicago: 'Dammann, Christian, and Rolf Mahnken. “Simulation of a Resin Transfer
    Molding Process Using a Phase Field Approach within the Theory of Porous Media.”
    <i>Composites Part A: Applied Science and Manufacturing</i> 120 (2019): 147–60.
    <a href="https://doi.org/10.1016/j.compositesa.2019.02.022">https://doi.org/10.1016/j.compositesa.2019.02.022</a>.'
  ieee: 'C. Dammann and R. Mahnken, “Simulation of a resin transfer molding process
    using a phase field approach within the theory of porous media,” <i>Composites
    Part A: Applied Science and Manufacturing</i>, vol. 120, pp. 147–160, 2019.'
  mla: 'Dammann, Christian, and Rolf Mahnken. “Simulation of a Resin Transfer Molding
    Process Using a Phase Field Approach within the Theory of Porous Media.” <i>Composites
    Part A: Applied Science and Manufacturing</i>, vol. 120, 2019, pp. 147–60, doi:<a
    href="https://doi.org/10.1016/j.compositesa.2019.02.022">10.1016/j.compositesa.2019.02.022</a>.'
  short: 'C. Dammann, R. Mahnken, Composites Part A: Applied Science and Manufacturing
    120 (2019) 147–160.'
date_created: 2019-10-14T12:11:37Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
doi: 10.1016/j.compositesa.2019.02.022
intvolume: '       120'
language:
- iso: eng
page: 147-160
publication: 'Composites Part A: Applied Science and Manufacturing'
publication_identifier:
  issn:
  - 1359-835X
publication_status: published
status: public
title: Simulation of a resin transfer molding process using a phase field approach
  within the theory of porous media
type: journal_article
user_id: '78813'
volume: 120
year: '2019'
...
---
_id: '13807'
author:
- first_name: X.
  full_name: Ju, X.
  last_name: Ju
- first_name: R.
  full_name: Mahnken, R.
  last_name: Mahnken
citation:
  ama: Ju X, Mahnken R. “Goal-oriented adaptivity on mean-field and full-field homogenization
    methods considering hierarchical unit cells.” <i>PAMM</i>. 19.
  apa: Ju, X., &#38; Mahnken, R. (n.d.). “Goal-oriented adaptivity on mean-field and
    full-field homogenization methods considering hierarchical unit cells.” <i>PAMM</i>,
    <i>19</i>.
  bibtex: '@article{Ju_Mahnken, title={“Goal-oriented adaptivity on mean-field and
    full-field homogenization methods considering hierarchical unit cells”}, volume={19},
    journal={PAMM}, author={Ju, X. and Mahnken, R.} }'
  chicago: Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity on Mean-Field and Full-Field
    Homogenization Methods Considering Hierarchical Unit Cells.’” <i>PAMM</i> 19 (n.d.).
  ieee: X. Ju and R. Mahnken, “‘Goal-oriented adaptivity on mean-field and full-field
    homogenization methods considering hierarchical unit cells,’” <i>PAMM</i>, vol.
    19.
  mla: Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity on Mean-Field and Full-Field
    Homogenization Methods Considering Hierarchical Unit Cells.’” <i>PAMM</i>, vol.
    19.
  short: X. Ju, R. Mahnken, PAMM 19 (n.d.).
date_created: 2019-10-14T12:22:08Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
intvolume: '        19'
language:
- iso: eng
publication: PAMM
publication_status: accepted
status: public
title: '"Goal-oriented adaptivity on mean-field and full-field homogenization methods
  considering hierarchical unit cells"'
type: journal_article
user_id: '78813'
volume: 19
year: '2019'
...
---
_id: '13813'
author:
- first_name: P.
  full_name: Lenz, P.
  last_name: Lenz
- first_name: R.
  full_name: Mahnken, R.
  last_name: Mahnken
citation:
  ama: Lenz P, Mahnken R. “Damage simulation of fiber reinforced composites using
    mean-field homogenization methods” . <i>PAMM</i>. 2019;19.
  apa: Lenz, P., &#38; Mahnken, R. (2019). “Damage simulation of fiber reinforced
    composites using mean-field homogenization methods” . <i>PAMM</i>, <i>19</i>.
  bibtex: '@article{Lenz_Mahnken_2019, title={“Damage simulation of fiber reinforced
    composites using mean-field homogenization methods” }, volume={19}, journal={PAMM},
    author={Lenz, P. and Mahnken, R.}, year={2019} }'
  chicago: Lenz, P., and R. Mahnken. “‘Damage Simulation of Fiber Reinforced Composites
    Using Mean-Field Homogenization Methods’ .” <i>PAMM</i> 19 (2019).
  ieee: P. Lenz and R. Mahnken, “‘Damage simulation of fiber reinforced composites
    using mean-field homogenization methods’ ,” <i>PAMM</i>, vol. 19, 2019.
  mla: Lenz, P., and R. Mahnken. “‘Damage Simulation of Fiber Reinforced Composites
    Using Mean-Field Homogenization Methods’ .” <i>PAMM</i>, vol. 19, 2019.
  short: P. Lenz, R. Mahnken, PAMM 19 (2019).
date_created: 2019-10-14T12:38:50Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
intvolume: '        19'
language:
- iso: eng
publication: PAMM
status: public
title: '"Damage simulation of fiber reinforced composites using mean-field homogenization
  methods" '
type: journal_article
user_id: '78813'
volume: 19
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. <i>Mathematics
    and Mechanics of Complex Systems</i>. Published online 2019:99-129. doi:<a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>
  apa: Penner, E., Caylak, I., Dridger, A., &#38; Mahnken, R. (2019). A polynomial
    chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced
    plastics. <i>Mathematics and Mechanics of Complex Systems</i>, 99–129. <a href="https://doi.org/10.2140/memocs.2019.7.99">https://doi.org/10.2140/memocs.2019.7.99</a>
  bibtex: '@article{Penner_Caylak_Dridger_Mahnken_2019, title={A polynomial chaos
    expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics},
    DOI={<a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>},
    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.” <i>Mathematics and Mechanics of Complex Systems</i>, 2019, 99–129.
    <a href="https://doi.org/10.2140/memocs.2019.7.99">https://doi.org/10.2140/memocs.2019.7.99</a>.
  ieee: 'E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “A polynomial chaos expanded
    hybrid fuzzy-stochastic model for transversely fiber reinforced plastics,” <i>Mathematics
    and Mechanics of Complex Systems</i>, pp. 99–129, 2019, doi: <a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>.'
  mla: Penner, Eduard, et al. “A Polynomial Chaos Expanded Hybrid Fuzzy-Stochastic
    Model for Transversely Fiber Reinforced Plastics.” <i>Mathematics and Mechanics
    of Complex Systems</i>, 2019, pp. 99–129, doi:<a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>.
  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. <i>PAMM</i>.
    Published online 2019. doi:<a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>
  apa: Caylak, I., Penner, E., &#38; Mahnken, R. (2019). A fuzzy uncertainty model
    for analytical and numerical homogenization of transversely fiber reinforced plastics.
    <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.201900356">https://doi.org/10.1002/pamm.201900356</a>
  bibtex: '@article{Caylak_Penner_Mahnken_2019, title={A fuzzy uncertainty model for
    analytical and numerical homogenization of transversely fiber reinforced plastics},
    DOI={<a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>},
    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.”
    <i>PAMM</i>, 2019. <a href="https://doi.org/10.1002/pamm.201900356">https://doi.org/10.1002/pamm.201900356</a>.
  ieee: 'I. Caylak, E. Penner, and R. Mahnken, “A fuzzy uncertainty model for analytical
    and numerical homogenization of transversely fiber reinforced plastics,” <i>PAMM</i>,
    2019, doi: <a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>.'
  mla: Caylak, Ismail, et al. “A Fuzzy Uncertainty Model for Analytical and Numerical
    Homogenization of Transversely Fiber Reinforced Plastics.” <i>PAMM</i>, 2019,
    doi:<a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>.
  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'
...