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00925njm 22002777a 4500 dc Iesan, Dorin author Quintanilla de Latorre, Ramón author 2014-10-01 Electronic version of an article published as "Journal of thermal stresses", vol. 37, no 9, 2014, p. 1017-1036. DOI: 10.1080/01495739.2014.914776 <http://www.tandfonline.com/doi/abs/10.1080/01495739.2014.914776#.VDf2nRbQo5h> In this article, we use the Nunziato–Cowin theory of materials with voids to derive a theory of thermoelastic solids, which have a double porosity structure. The new theory is not based on Darcy's law. In the case of equilibrium, in contrast with the classical theory of elastic materials with double porosity, the porosity structure of the body is influenced by the displacement field. We prove the uniqueness of solutions by means of the logarithmic convexity arguments as well as the instability of solutions whenever the internal energy is not positive definite. Later, we use semigroup arguments to prove the existence of solutions in the case that the internal energy is positive. The deformation of an elastic space with a spherical cavity is investigated. Peer Reviewed Postprint (author’s final draft) Àrees temàtiques de la UPC::Física::Física de l’estat sòlid Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals Porous materials--Thermal properties Thermoelasticity Existence and uniqueness results Instability Porous thermoelastic solids Unbounded medium with a cavity Sòlids -- Propietats tèrmiques Materials porosos -- Propietats tèrmiques Equacions diferencials parcials Termoelasticitat Classificació AMS::74 Mechanics of deformable solids On a theory of thermoelastic materials with double porosity structure