Thermodynamics of Viscoelastic Materials of Single-Integral Type

摘要

Because of the difficulties inherent in general nonlinear viscoelasticity, modelshave been proposed which capture the essential interaction between dissipation and nonlinearity, but are sufficiently simple to allow both the characterization of real materials and the mathematical analysis of corresponding problems. In one space dimension a large class of mechanical models is based on single integral laws of stress. We here develop a general thermodynamic theory of single integral laws applicable to deforming bodies under varying temperature. The resulting theory should have application to the dynamical analysis of polymeric materials.