@article{21708,
  author       = {{Lenz, Peter and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods}}},
  doi          = {{10.1002/pamm.202000265}},
  year         = {{2021}},
}

@article{24392,
  author       = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{An uncertainty model for the curing process of transversely fiber reinforced plastics}}},
  doi          = {{10.1002/pamm.202000178}},
  year         = {{2021}},
}

@article{24384,
  author       = {{Westermann, Hendrik and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{Constitutive modeling of dynamic recrystallization coupled to viscoplasticity}}},
  doi          = {{10.1002/pamm.202000186}},
  year         = {{2021}},
}

@article{24397,
  author       = {{Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{A deep learning driven uncertain full‐field homogenization method}}},
  doi          = {{10.1002/pamm.202000180}},
  year         = {{2021}},
}

@article{24390,
  author       = {{Mahnken, Rolf and Westermann, Hendrik}},
  issn         = {{0749-6419}},
  journal      = {{International Journal of Plasticity}},
  title        = {{{A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains}}},
  doi          = {{10.1016/j.ijplas.2021.102988}},
  year         = {{2021}},
}

@article{21681,
  author       = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf and Dridger, Alex}},
  issn         = {{0961-7353}},
  journal      = {{Safety and Reliability}},
  pages        = {{1--19}},
  title        = {{{Fuzzy and stochastic approach applied to rubber like materials}}},
  doi          = {{10.1080/09617353.2020.1858678}},
  year         = {{2021}},
}

@inproceedings{24388,
  author       = {{Westermann, Hendrik and Mahnken, Rolf}},
  booktitle    = {{14th WCCM-ECCOMAS Congress}},
  title        = {{{On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains}}},
  doi          = {{10.23967/wccm-eccomas.2020.261}},
  year         = {{2021}},
}

@article{27774,
  author       = {{Lenz, Peter and Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  title        = {{{A general framework for mean-field homogenization of multi-layered linear elastic composites subjected to thermal and curing induced strains}}},
  doi          = {{10.1016/j.ijsolstr.2021.111266}},
  year         = {{2021}},
}

@article{29088,
  author       = {{Ju, X. and Mahnken, Rolf and Xu, Y. and Liang, L. and Zhou, W.}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  title        = {{{A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity}}},
  doi          = {{10.1016/j.ijsolstr.2021.111103}},
  year         = {{2021}},
}

@article{24376,
  author       = {{Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf}},
  issn         = {{0045-7825}},
  journal      = {{Computer Methods in Applied Mechanics and Engineering}},
  title        = {{{A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures}}},
  doi          = {{10.1016/j.cma.2021.114070}},
  year         = {{2021}},
}

@article{29085,
  author       = {{Cheng, C. and Mahnken, Rolf}},
  issn         = {{0939-1533}},
  journal      = {{Archive of Applied Mechanics}},
  pages        = {{3869--3888}},
  title        = {{{A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations}}},
  doi          = {{10.1007/s00419-021-01982-6}},
  year         = {{2021}},
}

@article{29092,
  author       = {{Ju, X. and Mahnken, Rolf and Liang, L. and Xu, Y.}},
  issn         = {{0045-7949}},
  journal      = {{Computers & Structures}},
  title        = {{{Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity}}},
  doi          = {{10.1016/j.compstruc.2021.106671}},
  year         = {{2021}},
}

@article{29090,
  author       = {{Lenz, Peter and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods}}},
  doi          = {{10.1002/pamm.202100081}},
  year         = {{2021}},
}

@article{29091,
  author       = {{Henkes, Alexander and Wessels, Henning and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{Physics informed neural networks for continuum micromechanics}}},
  doi          = {{10.1002/pamm.202100040}},
  year         = {{2021}},
}

@article{23431,
  abstract     = {{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.}},
  author       = {{Cheng, C. and Wang, Z. and Jin, Z. and Ju, X. and Schweizer, Swetlana and Tröster, Thomas and Mahnken, Rolf}},
  issn         = {{1359-8368}},
  journal      = {{Composites Part B: Engineering}},
  keywords     = {{Non-linear mean-field homogenization Average asymmetric plasticity of matrix Fibre–matrix interface debonding Micro-mechanical FE-simulation Progressive failure}},
  title        = {{{Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure}}},
  doi          = {{10.1016/j.compositesb.2021.109209}},
  volume       = {{224}},
  year         = {{2021}},
}

@inbook{29086,
  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 Lenz, Peter and Mahnken, Rolf and Meschut, Gerson and Müller, Roland and Nier, Matthias and Prussak, Robert and Riemer, Matthias and Sander, Sascha and Schaper, Mirko and Scharf, Ingolf and Scholze, Mario and Schwöbel, Stephan-Daniel and Sharafiev, Semen and Sinapius, Michael and Stefaniak, Daniel and Tröster, Thomas and Wagner, Martin F. -X. and Wang, Zheng and Zinn, Carolin}},
  booktitle    = {{Intrinsische Hybridverbunde für Leichtbautragstrukturen}},
  isbn         = {{9783662628324}},
  title        = {{{Hybridprofile für Trag- und Crashstrukturen}}},
  doi          = {{10.1007/978-3-662-62833-1_3}},
  year         = {{2021}},
}

@article{24374,
  author       = {{Caylak, Ismail and Penner, Eduard and Mahnken, Rolf}},
  issn         = {{0045-7825}},
  journal      = {{Computer Methods in Applied Mechanics and Engineering}},
  title        = {{{Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters}}},
  doi          = {{10.1016/j.cma.2020.113439}},
  year         = {{2020}},
}

@article{19297,
  author       = {{Dridger, A. and Caylak, Ismail and Mahnken, R. and Penner, Eduard}},
  issn         = {{0961-7353}},
  journal      = {{Safety and Reliability}},
  pages        = {{58--82}},
  title        = {{{A possibilistic finite element method for sparse data}}},
  doi          = {{10.1080/09617353.2018.1552477}},
  year         = {{2019}},
}

@article{13431,
  author       = {{Dridger, A. and Caylak, I. and Mahnken, R. and Penner, E.}},
  issn         = {{0961-7353}},
  journal      = {{Safety and Reliability}},
  pages        = {{58--82}},
  title        = {{{"A possibilistic finite element method for sparse data"}}},
  doi          = {{10.1080/09617353.2018.1552477}},
  year         = {{2019}},
}

@article{13432,
  author       = {{Ju, Xiaozhe and Mahnken, Rolf}},
  issn         = {{0045-7825}},
  journal      = {{Computer Methods in Applied Mechanics and Engineering}},
  pages        = {{297--329}},
  title        = {{{"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"}}},
  doi          = {{10.1016/j.cma.2019.01.031}},
  year         = {{2019}},
}