A thermodynamic theory of solid viscoelasticity. Part 11: Nonlinear thermo-viscoelasticity A. D. Freed NASA Glenn Research Center, Polymers Branch, 49-3,210000 Brookpark Rod, Brook Park, Ohio 44135, USA A. I. Leonovl The University of Akron, Department of Polymer Engineering, Akron, Ohio 44325-0301, USA Abstract This paper, second in the series of three papers, develops a general, nonlinear, non-isothermal, compressible theory for finite rubber viscoelasticity and specifies it in a form2 convenient for solving problems important to the rubber, tire, automobile, and air-space industries, among others. Based on the quasi-linear approach of non-equilibrium thermodynamics, a general nonlinear theory of differential type has been developed for arbitrary non-isothermal deformations of viscoelastic solids. In this theory, the constitutive equations were presented as the sum of a rubber elastic (equilibrium) and a liquid type viscoelastic (non-equilibrium) terms. These equations have then been simplified using several modeling and simplicity arguments. Keywords Non-equilibrium thermodynamics, Viscoelasticity, Free energy, Dissipation, Strain, Stress Correspondingauthor, e-mail: leonov@,uakron.edu 1
A thermodynamic theory of solid viscoelasticity. Part 11: Nonlinear thermo-viscoelasticity
Jun 18, 2023
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