Open AccessCombining phase field approach and homogenization methods for modelling phase transformation in elastoplastic media
Author(s) -
Kais Ammar,
Benoît Appolaire,
Georges Cailletaud,
Samuel Forest
Publication year - 2009
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.18.485-523
Subject(s) - homogenization (climate) , finite element method , nonlinear system , phase field models , stress field , constitutive equation , materials science , phase (matter) , mathematics , mathematical analysis , mechanics , physics , thermodynamics , biodiversity , ecology , quantum mechanics , biology
A general constitutive framework is proposed to incorporate linear and nonlinear mechanical behaviour laws into a standard phase field model. In the diffuse interface region where both phases coexist, two mixture rules for strain and stress are introduced, which are based on the Voigt/Taylor and Reuss/Sachs well-known homogenization schemes and compared to the commonly used mixture rules in phase field models. Finite element calculations have been performed considering an elastoplastic precipitate growing in an elastic matrix in order to investigate the plastic accommodation processes.