ABSTRACT
This chapter addresses first thermoelastic constitutive equations of a solid. The analysis is next extended to include thermo-poroelasticity which involves three independent fields, namely the displacement of the solid, the pressure of the fluid, and the temperature. In formulations which account for dynamic effects, the fluid pressure is substituted by the fluid velocity. An analogy between linear poroelasticity and thermoelasticity can be observed through the correspondences between entropy and fluid mass content on one side and between temperature and pressure on the other side. The porous medium under consideration is isotropic in its elastic, flow and thermal properties. Thus the tensor of elastic moduli is a fourth order isotropic tensor defined by two material parameters, while the tensors providing the heat and fluid fluxes in terms of the gradients of temperature and fluid pressure respectively, and the tensor of thermal expansion are second order isotropic tensors, each of them being defined by a single material parameter.
