Modeling of nonlinear viscoelasticity at large deformations |
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Authors: | G Spathis E Kontou |
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Affiliation: | (1) Department of Mechanics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 5 Heroes of Polytechnion, 15773 Athens, Greece |
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Abstract: | A constitutive model of finite strain viscoelasticity, based on the multiplicative decomposition of the deformation gradient
tensor into elastic and inelastic parts, is presented. The nonlinear response of rubbers, manifested by the rate effect, cycling
loading and stress relaxation tests was captured through the introduction of two internal variables, namely the constitutive
spin and the back stress tensor. These parameters, widely used in plasticity, are applied in this work to model the nonlinear
viscoelastic behaviour of rubbers. The experimental results, obtained elsewhere, related with shear deformation in monotonic
and cyclic loading, as well as stress-relaxation, were simulated with a good accuracy. |
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