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Mathematical modelling of finite strain magneto‐viscoelastic deformations
Author(s) -
Saxena Prashant,
Hossain Mokarram,
Steinmann Paul
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310077
Subject(s) - viscoelasticity , finite strain theory , magneto , magnetic field , dissipation , deformation (meteorology) , relaxation (psychology) , mechanics , field (mathematics) , constitutive equation , stress relaxation , strain (injury) , stress (linguistics) , classical mechanics , physics , finite element method , materials science , mathematics , thermodynamics , composite material , philosophy , quantum mechanics , kinetics , pure mathematics , medicine , psychology , social psychology , power (physics) , linguistics
Large strain magneto‐viscoelastic deformations in the presence of a finite magnetic field are modelled in this paper. Internal dissipation mechanisms are proposed using a multiplicative decomposition of the deformation gradient and an additive decomposition of the magnetic induction. Using thermodynamically consistent constitutive and evolution laws, numerical results showing stress relaxation and magnetic field evolution are presented to illustrate the theory. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)