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Nonlinear Homogenization of Microstructures in Steel with Temperature‐Controlled Phase Transformation
Author(s) -
Neumann Rudolf,
Böhlke Thomas
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310129
Subject(s) - homogenization (climate) , ansatz , plasticity , materials science , nonlinear system , phase transition , constitutive equation , thermodynamics , mechanics , composite material , mathematics , finite element method , physics , mathematical physics , quantum mechanics , biology , biodiversity , ecology
For the description of the phase transformation effect TRIP (transformation induced plasticity), a thermo‐micro‐mechanical model is introduced. The scale transition is realized by a Hashin‐Shtrikman type homogenization scheme. The macroscopical behavior is purely based on micro‐mechanical, thermo‐mechanical constitutive models. The model takes into account the thermal strains arising during cooling, and the Greenwood‐Johnson effect. The Greenwood‐Johnson effect describes the TRIP strain developing during the growth of a product phase in the parent phase. The TRIP strain is determined by a micromechanical model gained by an extended Leblond ansatz. For the diffusion driven phase transformation, the JMAK model is incorporated into the homogenization scheme. The diffusionless transformation is described by a rate law of Koistinen‐Marburger type. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)