Nonlinear thermoelastic materials with viscosity, and subject to internal constraints: A classical continuum thermodynamics approach

Abstract

A general approach to continuum thermodynamics that was advocated by R.S. Rivlin is carried out for thermoelastic materials which can also depend on strain rate. An entropy function is constructed (rather than assumed to exist). A method for treating thermomechanical internal constraints for such materials is also presented. In this method, the properties of a constrained material are inherited from those of a related equivalence class of unconstrained materials. © Springer Science+Business Media B.V. 2011.