Bernard D. Coleman

TL;DR: The basic physical concepts of classical continuum mechanics are body, configuration of a body, and force system acting on a body as mentioned in this paper, which can be expressed as follows: a body is regarded as a smooth manifold whose elements are the material points; a configuration is defined as a mapping of the body into a three-dimensional Euclidean space, and a force system is defined to be a vector-valued function defined for pairs of bodies.

TL;DR: In this paper, the authors study the thermodynamics of nonlinear materials with internal state variables whose temporal evolution is governed by ordinary differential equations, and employ a method developed by Coleman and Noll to find the general restrictions which the Clausius-Duhem inequality places on response functions.

TL;DR: In this paper, a brief discussion of the physical motivation behind the mathematical considerations to be presented in Part I of this paper is presented. But this discussion is limited to the case where the authors are concerned with a single point of view.

TL;DR: The classical linear theory of viscoelasticity was apparently first formulated by Boltzmann1 in 1874, and much work has been done on the following aspects: solution of special boundary value problems, reformulation3,4 of the one-dimensional version of the theory in terms of new material functions (such as “creep functions” and frequency-dependent complex “impedances”) which appear to be directly accessible to measurement, experimental determination2b of the material functions for those materials for which the theory appears useful, prediction of the form of the