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Computation of energy dissipation in visco‐elastic materials at finite deformation
Author(s) -
Behnke Ronny,
Kaliske Michael
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310075
Subject(s) - dissipation , viscoelasticity , nonlinear system , tangent , computation , deformation (meteorology) , mechanics , finite strain theory , tensor (intrinsic definition) , quadratic equation , elastic energy , cauchy stress tensor , classical mechanics , mathematical analysis , mathematics , physics , materials science , finite element method , geometry , thermodynamics , composite material , algorithm , quantum mechanics
In this contribution, the derivation of the energy dissipation rate in generalized visco‐elastic material models with internal stress‐type variables and linear evolution equations is outlined. The approximated dissipation rate is computed from a positive quadratic form of the nonlinear non‐equilibrium stresses and the inverse of the consistent material tangent tensor. The presented method is used to compute the energy dissipation of visco‐elastic rubber material in a large scale application of a steady state rolling tire structure. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)