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Abstract

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)