Multiple-integral viscoelastic constitutive equations |
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Authors: | Andrzej Hanyga M. Seredyńska |
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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 |
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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. |
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Keywords: | Non-linear viscoelasticity Rheology Polymer Soft tissue |
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