@article{13434,
  author       = {{Mäck, Markus and Caylak, Ismail and Edler, Philipp and Freitag, Steffen and Hanss, Michael and Mahnken, Rolf and Meschke, Günther and Penner, Eduard}},
  issn         = {{0936-7195}},
  journal      = {{GAMM-Mitteilungen}},
  title        = {{{"Optimization with constraints considering polymorphic uncertainties"}}},
  doi          = {{10.1002/gamm.201900005}},
  year         = {{2019}},
}

@article{13805,
  author       = {{Mahnken, Rolf and Ju, Xiaozhe}},
  issn         = {{0029-5981}},
  journal      = {{International Journal for Numerical Methods in Engineering}},
  title        = {{{Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity}}},
  doi          = {{10.1002/nme.6209}},
  year         = {{2019}},
}

@article{13806,
  author       = {{Dammann, Christian and Mahnken, Rolf}},
  issn         = {{1359-835X}},
  journal      = {{Composites Part A: Applied Science and Manufacturing}},
  pages        = {{147--160}},
  title        = {{{Simulation of a resin transfer molding process using a phase field approach within the theory of porous media}}},
  doi          = {{10.1016/j.compositesa.2019.02.022}},
  volume       = {{120}},
  year         = {{2019}},
}

@article{13807,
  author       = {{Ju, X. and Mahnken, R.}},
  journal      = {{PAMM}},
  title        = {{{"Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells"}}},
  volume       = {{19}},
  year         = {{2019}},
}

@article{13813,
  author       = {{Lenz, P. and Mahnken, R.}},
  journal      = {{PAMM}},
  title        = {{{"Damage simulation of fiber reinforced composites using mean-field homogenization methods" }}},
  volume       = {{19}},
  year         = {{2019}},
}

@article{19300,
  author       = {{Mäck, Markus and Caylak, Ismail and Edler, Philipp and Freitag, Steffen and Hanss, Michael and Mahnken, Rolf and Meschke, Günther and Penner, Eduard}},
  issn         = {{0936-7195}},
  journal      = {{GAMM-Mitteilungen}},
  title        = {{{Optimization with constraints considering polymorphic uncertainties}}},
  doi          = {{10.1002/gamm.201900005}},
  year         = {{2019}},
}

@article{19122,
  author       = {{Penner, Eduard and Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}},
  issn         = {{2325-3444}},
  journal      = {{Mathematics and Mechanics of Complex Systems}},
  pages        = {{99--129}},
  title        = {{{A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics}}},
  doi          = {{10.2140/memocs.2019.7.99}},
  year         = {{2019}},
}

@article{19120,
  author       = {{Caylak, Ismail and Penner, Eduard and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics}}},
  doi          = {{10.1002/pamm.201900356}},
  year         = {{2019}},
}

@article{24429,
  author       = {{Ju, Xiaozhe and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells}}},
  doi          = {{10.1002/pamm.201900177}},
  year         = {{2019}},
}

@article{19424,
  author       = {{Lenz, Peter and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  title        = {{{Damage simulation of fiber reinforced composites using mean‐field homogenization methods}}},
  doi          = {{10.1002/pamm.201900370}},
  year         = {{2019}},
}

@book{19326,
  author       = {{Mahnken, Rolf}},
  isbn         = {{9783662581650}},
  title        = {{{Lehrbuch der Technischen Mechanik - Band 2: Elastostatik}}},
  doi          = {{10.1007/978-3-662-58166-7}},
  year         = {{2019}},
}

@phdthesis{42187,
  author       = {{Widany, Kai-Uwe}},
  publisher    = {{Shaker}},
  title        = {{{Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics}}},
  year         = {{2019}},
}

@phdthesis{42190,
  author       = {{Damman, Christian}},
  publisher    = {{Shaker}},
  title        = {{{Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers}}},
  year         = {{2019}},
}

@phdthesis{42191,
  author       = {{Ju, Xiaozhe}},
  title        = {{{Adaptive Methods in the Mechanics of Heterogeneous Materials}}},
  year         = {{2019}},
}

@phdthesis{42188,
  author       = {{Cheng, Chun}},
  title        = {{{A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations}}},
  year         = {{2019}},
}

@article{9899,
  abstract     = {{Bainite is a steel microstructure consisting of three phases, bainitic ferrite, austenite and carbides. It forms in two different morphologies, upper and lower bainite, where different diffusion mechanisms are dominant. The aim of this work is to simulate both transformations within a unified model. To this end, we extend an own previously published model for lower bainite with diffusion across the phase interface. As a central idea we introduce weighted Helmholtz energy functions and a weighted mobility tensor, respectively. The individual Helmholtz energy functions and mobility terms are related to the different diffusion mechanisms which are responsible for the formation of both morphologies. Two representative examples illustrate the capability of the coupled phase field/diffusion model and show the expected behaviour.}},
  author       = {{Düsing, M. and Mahnken, R.}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  keywords     = {{Coupled phase field/diffusion model, Bainite, Multiphase field method, Cahn–Hilliard diffusion, Diffusion across the interface, Lower bainitic transformation, Upper bainitic transformation, Thermodynamic framework, Microforce balance}},
  pages        = {{172--183}},
  publisher    = {{Elsevier}},
  title        = {{{„A coupled phase field/diffusion model for upper and lower bainitic transformation”}}},
  volume       = {{135}},
  year         = {{2018}},
}

@article{9933,
  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 n-layered sphere model"}}},
  doi          = {{10.1007/s00419-018-1431-5}},
  year         = {{2018}},
}

@article{9934,
  author       = {{Dammann, Christian and Caylak, Ismail and Mahnken, Rolf}},
  issn         = {{0936-7195}},
  journal      = {{GAMM-Mitteilungen}},
  title        = {{{"Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy"}}},
  doi          = {{10.1002/gamm.201800003}},
  year         = {{2018}},
}

@article{9935,
  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{9936,
  author       = {{Ju, Xiaozhe and Mahnken, Rolf}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{601--602}},
  title        = {{{"Error-controlled homogenization for a class of linear elastic composite problems"}}},
  doi          = {{10.1002/pamm.201710270}},
  year         = {{2018}},
}