Thermoelastic Models of Continua

Abstract

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.

On the time decay of solutions in porous-elasticity with quasi-static microvoids

“…In their setting, the bulk density is the product of two scalar fields, the matrix material density and the volume fraction field. It is deeply discussed in the book of Iesan [13]. We want also cite the recent contributions of Chirita et al [3] and Muñoz-Rivera and Quintanilla [19].…”

“…Iesan [11][12][13] added temperature and also microtemperatures to this theory. Let us make a short presentation of the general three-dimensional theory.…”

A theory of thermoelastic diffusion materials with voids

“…Generally, this theory is based on the balance of energy, where presence of the pores involves additional degree of freedom, namely, the fraction of elementary volume. On the other hand, Ieşan [4,5] has developed a linear theory of thermoelastic materials with voids by generalizing some ideas of the papers [3,6,7].…”

Thermal effects in orthotropic porous elastic beams

“…In [1,2], Nunziato and Cowin presented the theory of elastic materials with voids for the treatment of porous solids in which the matrix material is elastic and the interstices are void of material. The theory of elastic materials with voids has received considerable attention (see, e.g., [3][4][5][6][7][8][9], and the literature cited therein).…”