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Thermodynamically consistent modeling of yield surface distortion
Author(s) -
Shi Baodong,
Mosler Jörn
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310065
Subject(s) - isotropy , yield surface , yield (engineering) , deformation (meteorology) , distortion (music) , surface (topology) , symmetry (geometry) , surface energy , point (geometry) , statistical physics , materials science , constitutive equation , thermodynamics , physics , mathematics , geometry , finite element method , optics , composite material , amplifier , optoelectronics , cmos
From a macroscopic point of view, the deformation of most metals results in an evolution of the symmetry groups characterizing the isotropy of the considered materials. With respect to plastic deformation for instance, the shape of the macroscopic yield surface evolves during deformation. In the present paper, a novel constitutive framework capturing this evolution is proposed. This framework is based on the fundamentals of thermodynamics. Furthermore, it also shows a variational structure such that all state variables follow jointly from minimizing an incrementally defined energy functional. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)