On a Theory of Thermoviscoelastic Materials with Voids

摘要

In this paper we extend the theory of elastic materials with voids to the case when the time derivative of the strain tensor and the time derivative of the gradient of the volume fraction are included in the set of independent constitutive variables. First, the basic equations of the nonlinear theory of thermoviscoelastic materials with voids are established. Then, the linearized version of the theory is derived. We establish a uniqueness result and the continuous dependence of solution upon the initial data and supply terms. A solution of the field equations is also presented.