TY - GEN A1 - Schmidt, Simon A1 - Dornisch, Wolfgang A1 - Müller, Ralf T1 - A phase field model for martensitic transformation coupled with the heat equation T2 - GAMM‐Mitteilungen N2 - In order to consider temperature dependency in a phase field model for martensitic transformations a temperature dependent phase separation potential is introduced. The kinematics and the energetic setup underlying the phase transformation are briefly explained. Parameters are identified using molecular dynamics (MD) simulations. The kinetics of the phase field model are in good agreement with those of the MD simulations. Further, the effect of temperature on the microstructure evolution is studied for varying initial austenite contents. KW - Solidifcation KW - phase-field KW - theory of porous media KW - finite element method KW - multi-scale Y1 - 2017 U6 - https://doi.org/10.1002/gamm.201720005 SN - 1522-2608 VL - 40 IS - 2 SP - 138 EP - 153 ER - TY - GEN A1 - Schmidt, Simon A1 - Dornisch, Wolfgang A1 - Müller, Ralf T1 - Martensitic transformation at a crack under mode I and II loading T2 - Proceedings in Applied Mathematics and Mechanics N2 - Metastable austenitic steels can undergo phase transformation. As an allotrope two crystal configurations are of interest: the softer austenitic parent phase and the martensitic phases. Here, the bain orientation relationship leads to distinct orientations for the martensitic variants with a different transformation strain [7]. A phase field approach is used to model the transformation, where a multi‐valued order parameter urn:x-wiley:16177061:media:PAMM201900465:pamm201900465-math-0001 identifies the austenitic parent phase and the martensitic variants. This allows to define bulk and surface energies as regularized functions in terms of the order parameter and its gradient. The kinetics of the martensitic transformation are temperature dependent. Temperatures below an equilibrium temperature favour the growth of the martensitic phase, whereas temperatures above the equilibrium favour the austenitic phase. Approaching the equilibrium temperature slows down the transformation [5]. In this work we consider a static crack under mode I and mode II loading. Y1 - 2019 U6 - https://doi.org/10.1002/pamm.201900465 SN - 1617-7061 VL - 19 IS - 1 PB - WILEY-VCH Verlag GmbH & Co. KGaA CY - Weinheim ER - TY - GEN A1 - Schmidt, Simon David A1 - Ammar, Kais A1 - Dornisch, Wolfgang A1 - Forest, Samuel A1 - Müller, Ralf T1 - Phase field model for the martensitic transformation: comparison of the Voigt/Taylor and Khachaturyan approach T2 - Continuum Mechanics and Thermodynamics Y1 - 2021 U6 - https://doi.org/10.1007/s00161-021-01007-1 SN - 0935-1175 SN - 1432-0959 VL - 33 IS - 5 SP - 2075 EP - 2094 ER -