We now apply thermodynamic principles to field theories with memory. For general
nonlinear, nonisothermal theories, we assume that a free energy is given, this being the …

This book provides a unified treatment of continuum physics. A systematic approach to the
balance equations is elaborated for wide-ranging classes of materials (classical continua …

We show here the impact on the initial-boundary value problem, and on the evolution of
viscoelastic systems of the use of a new definition of state based on the stress-response …

In this paper, we present an isothermal model for describing damage and fatigue by the use
of the Ginzburg–Landau (G–L) equation. Fatigue produces progressive damage, which is …

Certain results about free energies of materials with memory are proved, using the abstract
formulation of thermodynamics, both in the general case and as applied within the theory of …

A general explicit formula for the maximum recoverable work from a given state is derived in
the frequency domain for full tensorial isothermal linear viscoelastic constitutive equations. A …

An exploration of representations of free energies and associated rates of dissipation for a
broad class of nonlinear viscoelastic materials is presented in this work. Also included are …

The various formulations of the maximum recoverable work used in the literature are proved
to be equivalent. Then an explicit formula of the minimum free energy is derived, starting …

Materials with memory are here considered. The introduction of the dependence on time not
only via the present, but also, via the past time represents a way, alternative to the …

In this work energy based failure criteria are applied and assessed usingpublished
experimental data. Reiner and Weissenberg (R–W) developed anenergy failure criterion …