@article{60124,
  author       = {{Westermann, Hendrik and Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  publisher    = {{Elsevier BV}},
  title        = {{{Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua}}},
  doi          = {{10.1016/j.ijsolstr.2025.113465}},
  year         = {{2025}},
}

@article{52218,
  author       = {{Lenz, Peter and Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  keywords     = {{Applied Mathematics, Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics, General Materials Science, Modeling and Simulation}},
  publisher    = {{Elsevier BV}},
  title        = {{{Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains}}},
  doi          = {{10.1016/j.ijsolstr.2023.112642}},
  volume       = {{290}},
  year         = {{2024}},
}

@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{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{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{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{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{24642,
  author       = {{Cheng, C. and Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{127--141}},
  title        = {{{Extension of a multi-mechanism model: Hardness-based flow and transformation induced plasticity for austenitization}}},
  doi          = {{10.1016/j.ijsolstr.2016.10.010}},
  year         = {{2016}},
}

@article{24651,
  author       = {{Mahnken, Rolf and Dammann, Christian}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{356--375}},
  title        = {{{A three-scale framework for fibre-reinforced-polymer curing part II: Mesoscopic modeling and macroscopic effective properties}}},
  doi          = {{10.1016/j.ijsolstr.2016.09.005}},
  year         = {{2016}},
}

@article{24655,
  author       = {{Mahnken, Rolf and Dammann, Christian}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{341--355}},
  title        = {{{A three-scale framework for fibre-reinforced-polymer curing Part I: Microscopic modeling and mesoscopic effective properties}}},
  doi          = {{10.1016/j.ijsolstr.2016.09.003}},
  year         = {{2016}},
}

@article{24700,
  author       = {{Mahnken, Rolf and Schneidt, A. and Antretter, T. and Ehlenbröker, U. and Wolff, M.}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{156--171}},
  title        = {{{Multi-scale modeling of bainitic phase transformation in multi-variant polycrystalline low alloy steels}}},
  doi          = {{10.1016/j.ijsolstr.2014.10.021}},
  year         = {{2014}},
}

@article{24717,
  author       = {{Mahnken, Rolf and Wolff, M. and Cheng, C.}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{3045--3066}},
  title        = {{{A multi-mechanism model for cutting simulations combining visco-plastic asymmetry and phase transformation}}},
  doi          = {{10.1016/j.ijsolstr.2013.05.008}},
  year         = {{2013}},
}

@article{24718,
  author       = {{Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{2003--2021}},
  title        = {{{Thermodynamic consistent modeling of polymer curing coupled to visco–elasticity at large strains}}},
  doi          = {{10.1016/j.ijsolstr.2013.01.033}},
  year         = {{2013}},
}

@article{26274,
  author       = {{Mahnken, Rolf and Shaban, A. and Potente, H. and Wilke, L.}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{4615--4628}},
  title        = {{{Thermoviscoplastic modelling of asymmetric effects for polymers at large strains}}},
  doi          = {{10.1016/j.ijsolstr.2008.03.033}},
  year         = {{2008}},
}

@article{28209,
  author       = {{Shaban, A. and Mahnken, Rolf and Wilke, L. and Potente, H. and Ridder, H.}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{6148--6162}},
  title        = {{{Simulation of rate dependent plasticity for polymers with asymmetric effects}}},
  doi          = {{10.1016/j.ijsolstr.2007.02.017}},
  year         = {{2007}},
}

@article{28783,
  author       = {{Mahnken, Rolf}},
  issn         = {{0020-7683}},
  journal      = {{International Journal of Solids and Structures}},
  pages        = {{6189--6209}},
  title        = {{{Creep simulation of asymmetric effects by use of stress mode dependent weighting functions}}},
  doi          = {{10.1016/s0020-7683(03)00388-3}},
  year         = {{2003}},
}

