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Multiple-integral viscoelastic constitutive equations
Authors:Andrzej Hanyga  M. Seredyńska
Affiliation:a Department of Earth Science, University of Bergen, Allégt 41, N5007 Bergen, Norway
b Institute of Fundamental Technological Research, Polish Academy of Sciences, ?wie¸tokrzyska 21, 00-0049 Warszawa, Poland
Abstract:A class of nonlinear viscoelastic constitutive equations including the K-BKZ constitutive equations, linear viscoelasticity and the Green-Rivlin models is developed. A stored-energy functional is associated with each model in such a way that the energy dissipation rate is non-negative. The theory is developed for 1D viscoelasticity and extended to 3D viscoelastic media.
Keywords:Non-linear viscoelasticity   Rheology   Polymer   Soft tissue
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