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The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids.The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics; fracture; tribology; experimental mechanics; biomechanics and machine design.The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity.

Abstract. In this paper 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 the 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 the semigroup arguments to prove the existence of solutions in case that the internal energy is positive. The deformation of an elastic space with a spherical cavity is investigated.

In the first part of this paper we present a linear theory of thermoelastic bodies\ud with microstructure and microtemperatures which permits the transmission of heat as\ud thermal waves at finite speed. The theory is based on the entropy balance postulated\ud by Green and Naghdi [A.E. Green, P.M. Naghdi, A re-examination of the basic postulates\ud of thermomechanics, Proc. R. Soc. London A 432 (1991) 171–194]. We consider bodies\ud with microstructure whose microelements can stretch and contract independently of their\ud translations. Then we establish existence and uniqueness results in the context of the\ud dynamic theory.Peer ReviewedPostprint (published version

This paper is concerned with a linear theory of thermodynamics for elastic materials with microstructure, whose microelements possess microtemperatures. It is shown that there exists the coupling of microrotation vector field with the microtemperatures even for isotropic bodies. Uniqueness and continuous dependence results are presented. The theory is used to establish the solution corresponding to a concentrated heat source acting in an unbounded continuum.