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A Thermomechanical Model for a Class of Hyperelastic Materials with Viscoelastic Properties of a Single‐Integral Type
Author(s) -
Dobovšek Igor
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410073
Subject(s) - hyperelastic material , constitutive equation , type (biology) , viscoelasticity , representation (politics) , constant (computer programming) , mathematics , class (philosophy) , mathematical analysis , materials science , thermodynamics , physics , computer science , composite material , finite element method , ecology , politics , political science , law , biology , programming language , artificial intelligence
To incorporate the strain rate dependence and strain memory properties in the constitutive formulation, we introduce integral hereditary operators of Volterra type in place of free material constants of a general hyper stress constitutive model. The corresponding constitutive equations, which are derived from the proposed form of a free energy functional, are based on a single‐integral type representation of the response functionals inherent in the expression for free energy. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)