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A Formulation of Additive Finite Anisotropic Thermo‐Plasticity in Logarithmic Lagrangean Strain‐Entropy Space
Author(s) -
Ulz Manfred H.
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910127
Subject(s) - plasticity , isotropy , logarithm , anisotropy , finite strain theory , isentropic process , entropy (arrow of time) , materials science , mathematics , mechanics , mathematical analysis , statistical physics , finite element method , thermodynamics , physics , composite material , quantum mechanics
A phenomenological model of rate‐independent thermo‐plasticity at finite strains is discussed. The formulation is based on an additive decomposition of the strain measure into an elastic and plastic part as proposed by Green and Naghdi. A constitutive model in the logarithmic Lagrangean strain‐entropy space is developed capable of modelling isotropic elastic and anisotropic plastic material behaviour. The staggered solution scheme for coupled thermo‐mechanical problems employs an isentropic phase for the deformation and an iso‐geometrical phase for the thermal field. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)