ABSTRACT
ABSTRACT: Focusing on geometric and kinematic aspects of thermal stresses, this work aims at proposing a continuum theory of nonlinear thermoelasticity of a porous solid, infused with a compressible fluid. Within the framework of the Eshelbian thermomechanics of multiphase continua, such a material is naturally regarded as a binary solid-fluid mixture, consisting of different body manifolds embedded into the three-dimensional Euclidean space, so as to share a smooth region of the physical environment while undertaking independent motions. Coupled thermal phenomena are coarsely taken into account by following the time evolution of the solid stress-free configuration, which is, in the most general case, geometrically incompatible. Some relevant constitutive implications are finally investigated and discussed.
