@inproceedings{10099,
  author       = {{Lenz, P. and M, R.}},
  booktitle    = {{31st International Workshop on Research in Mechnanics of Composite}},
  location     = {{Bad Herrenalb}},
  title        = {{{„Mean-field homogenization of multi-layered thermo-chemo-elastic composites including damage“}}},
  year         = {{2018}},
}

@article{10100,
  author       = {{Penner, Eduard and Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{"Possibilistic and stochastic analysis using for rubber-like materials"}}},
  doi          = {{10.1002/pamm.201800153}},
  year         = {{2018}},
}

@article{10109,
  author       = {{Caylak, Ismail and Penner, Eduard and Dridger, Alex and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{"A fuzzy-stochastic model for transversely fiber reinforced plastics"}}},
  doi          = {{10.1002/pamm.201800121}},
  year         = {{2018}},
}

@article{13808,
  author       = {{Düsing, Martin and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{"Simulation of upper and lower bainitic transformation with a coupled phase field/diffusion/deformation framework"}}},
  doi          = {{10.1002/pamm.201800180}},
  volume       = {{18}},
  year         = {{2018}},
}

@article{13814,
  author       = {{Düsing, Martin and Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{45--59}},
  title        = {{{A coupled phase field/diffusional/mechanical framework for simulation of upper and lower bainitic transformation}}},
  doi          = {{10.1016/j.ijsolstr.2018.11.027}},
  volume       = {{162}},
  year         = {{2018}},
}

@article{19426,
  author       = {{Mahnken, Rolf and Lenz, Peter and Dammann, Christian}},
  issn         = {{0939-1533}},
  journal      = {{Archive of Applied Mechanics}},
  pages        = {{2081--2099}},
  title        = {{{A least squares approach for effective shear properties in an                                                                   $${{\varvec{n}}}$$                                                                            n                                                                    -layered sphere model}}},
  doi          = {{10.1007/s00419-018-1431-5}},
  year         = {{2018}},
}

@article{21709,
  author       = {{Dammann, Christian and Mahnken, Rolf and Lenz, Peter}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{581--582}},
  title        = {{{Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties}}},
  doi          = {{10.1002/pamm.201710260}},
  year         = {{2018}},
}

@inbook{24526,
  author       = {{Dridger, Alex and Mahnken, Rolf}},
  booktitle    = {{Wissenschaft im Angesicht »großer gesellschaftlicher Herausforderungen«}},
  title        = {{{Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen}}},
  doi          = {{10.14361/9783839440995-003}},
  year         = {{2018}},
}

@article{24559,
  author       = {{Ehlenbröker, Ulrich and Petersmann, Manuel and Antretter, Thomas and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{587--588}},
  title        = {{{Transformation strains for bainitic variant evolution in steel}}},
  doi          = {{10.1002/pamm.201710263}},
  year         = {{2018}},
}

@article{24560,
  author       = {{Lenz, Peter and Dammann, Christian and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{609--610}},
  title        = {{{The effective shear modulus for ann-layered composite sphere}}},
  doi          = {{10.1002/pamm.201710274}},
  year         = {{2018}},
}

@article{24428,
  author       = {{Cheng, C. and Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{1--17}},
  title        = {{{A multi-mechanism model for cutting simulation: A Ginzburg-Landau type phase gradient and numerical implementations}}},
  doi          = {{10.1016/j.ijsolstr.2018.10.007}},
  year         = {{2018}},
}

@article{19124,
  author       = {{Penner, Eduard and Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{Possibilistic and stochastic analysis using for rubber‐like materials}}},
  doi          = {{10.1002/pamm.201800153}},
  year         = {{2018}},
}

@article{19307,
  author       = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{67--68}},
  title        = {{{A multivariate stochastic material model with correlated material parameters}}},
  doi          = {{10.1002/pamm.201710020}},
  year         = {{2018}},
}

@article{15958,
  author       = {{Zinn, Carolin and Bobbert, Mathias and Dammann, Christian and Wang, Zheng and Tröster, Thomas and Mahnken, Rolf and Meschut, Gerson and Schaper, Mirko}},
  issn         = {{1359-8368}},
  journal      = {{Composites Part B: Engineering}},
  pages        = {{173--185}},
  title        = {{{Shear strength and failure behaviour of laser nano-structured and conventionally pre-treated interfaces in intrinsically manufactured CFRP-steel hybrids}}},
  doi          = {{10.1016/j.compositesb.2018.05.030}},
  year         = {{2018}},
}

@article{9862,
  abstract     = {{In order to improve the credibility of modern simulation tools, uncertainties of different kinds have to be considered. This work is focused on epistemic uncertainties in the framework of continuum mechanics, which are taken into account by fuzzy analysis. The underlying min-max optimization problem of the extension principle is approximated by α-discretization, resulting in a separation of minimum and maximum problems. To become more universal, so-called quantities of interest are employed, which allow a general formulation for the target problem of interest. In this way, the relation to parameter identification problems based on least-squares functions is highlighted. The solutions of the related optimization problems with simple constraints are obtained with a gradient-based scheme, which is derived from a sensitvity analysis for the target problem by means of a variational formulation. Two numerical examples for the fuzzy analysis of material parameters are concerned with a necking problem at large strain elastoplasticity and a perforated strip at large strain hyperelasticity to demonstrate the versatility of the proposed variational formulation. }},
  author       = {{Mahnken, Rolf}},
  issn         = {{ 2325-3444}},
  journal      = {{Mathematics and Mechanics of complex systems}},
  keywords     = {{fuzzy analysis, α-level optimization, quantities of interest, optimization with simple constraints, large strain elasticity, large strain elastoplasticity}},
  number       = {{3-4}},
  title        = {{{"A variational formulation for fuzzy analysis in continuum mechanics"}}},
  volume       = {{5}},
  year         = {{2017}},
}

@inbook{9872,
  author       = {{Mahnken, Rolf}},
  booktitle    = {{Encyclopedia of Computational Mechanics}},
  editor       = {{Stein, Erwin and de Borst, Rene and Hughes, Thomas J.R.}},
  isbn         = {{978-1-119-00379-3}},
  pages        = {{1165}},
  publisher    = {{John Wiley & Sons}},
  title        = {{{,,Identification of Material Parameters for Constitutive Equations “}}},
  volume       = {{4}},
  year         = {{2017}},
}

@inproceedings{9941,
  author       = {{Dridger, Alex and Caylak, Ismail and Mahnken, Rolf}},
  booktitle    = {{Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017)}},
  isbn         = {{9786188284449}},
  title        = {{{"A POSSIBILISTIC APPROACH FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD"}}},
  doi          = {{10.7712/120217.5392.16813}},
  year         = {{2017}},
}

@article{9988,
  author       = {{Düsing, Martin and Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{172--183}},
  title        = {{{"A coupled phase field/diffusion model for upper and lower bainitic transformation"}}},
  doi          = {{10.1016/j.ijsolstr.2017.11.018}},
  year         = {{2017}},
}

@article{9989,
  author       = {{Ju, X. and Mahnken, R.}},
  issn         = {{0029-5981}},
  journal      = {{International Journal for Numerical Methods in Engineering}},
  pages        = {{1017--1039}},
  title        = {{{"Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis"}}},
  doi          = {{10.1002/nme.5541}},
  year         = {{2017}},
}

@article{10004,
  author       = {{Ju, X. and Mahnken, R.}},
  issn         = {{0045-7825}},
  journal      = {{Computer Methods in Applied Mechanics and Engineering}},
  pages        = {{208--237}},
  publisher    = {{Elsevier}},
  title        = {{{"Model adaptivity on effective elastic properties coupled with adaptive FEM"}}},
  doi          = {{10.1016/j.cma.2017.04.013}},
  volume       = {{322}},
  year         = {{2017}},
}

