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A micromechanical model for the transformation induced plasticity in polycrystalline steels
Author(s) -
Waimann Johanna,
Junker Philipp,
Hackl Klaus
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510176
Subject(s) - plasticity , dissipation , materials science , crystallite , hardening (computing) , kinematics , strain hardening exponent , transformation (genetics) , mechanics , metallurgy , thermodynamics , composite material , classical mechanics , physics , chemistry , biochemistry , layer (electronics) , gene
Due to the effect of transformation induced plasticity (TRIP) , TRIP‐steels are very promising materials, e.g. for the automobile industry. The material behavior is characterized by very complex inner processes, namely phase transformation coupled with plastic deformation and kinematic hardening. We establish a micromechanical model which uses the volume fractions of the single phases, the plastic strain and the hardening parameter in every grain of the polycrystalline material as internal variables. Furthermore, we apply the Principle of the Minimum of the Dissipation Potential to derive the associated evolution equations. The use of a coupled dissipation functional and a combined Voigt/Reuss bound directly results in coupled evolution equations for the internal variables and in one combined yield function. Additionally, we show numerical results which prove our model's ability to give a first prediction of the TRIP‐steels' complex material behavior. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)