Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 12, Issue 5, Pages 475-501Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286506062450
Keywords
nonlinear viscoelasticity; continuum mechanics; mathematical modeling
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The theory of viscoelasticity appears to play a central role in the description of materials which exhibit time dependent stress-strain behavior. Various materials like polymers, some soft biological tissues, and various foods have been already successfully modeled as nonlinear viscoelastic materials. The literature in these application areas is replete with different, seemingly unconnected nonlinear viscoelastic models. The aim of the present paper is to review the classical nonlinear viscoelastic models and provide a unifying framework using the continuum mechanics formalism.
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