The classical pressure vessel problems for linear elastic materials with voids

Abstract

The traditional problems of the thick walled spherical and circular cylindrical shells under internal and external pressure are solved in the context of the theory of linear elastic materials with voids. The solutions are quasi-static. The stress distributions are those predicted by isotropic linear elasticity. The displacement and solid volume fraction charge fields exhibit a volumetric viscoelasticity induced by a rate dependence of the volume fraction change.

On a Theory of Thermoelastic Materials with a Double Porosity Structure

“…The linear theory of elastic materials with voids has been established by Cowin and Nunziato [15]. The theory of elastic materials with voids has been extensively studied (see, e.g., [16][17][18][19][20][21][22][23][24][25][26] and references therein). In this paper we use the NunziatoCowin theory of materials with voids to derive a theory of thermoelastic solids which have a double porosity structure.…”

On Saint-Venant's principle in a poroelastic arch-like region

“…The theory of elastic materials with voids was explored in various papers (see, for example Cowin and Puri [4], Cowin [5], Ieşan [6], Straughan [7]). In the linear theory of isotropic elastic materials with voids, the deformation of right cylinders has been the subject of various investigations.…”

Thermopiezoelectricity without energy dissipation

“…The linear theory of elastic materials with voids has been established by Cowin & Nunziato (1983). The theory of elastic materials with voids has been extensively studied (Nunziato & Walsh 1980;Bedford & Drumheller 1983;Cowin & Puri 1983;Batra & Yang 1995;Iovane & Sumbatyan 2005;Ciarletta & Straughan 2007 and references therein). It is important to note that if we neglect the microrotation vector field, then the linear equations that describe the behaviour of a microstretch elastic body coincide with the equations of an elastic material with voids established by Cowin & Nunziato (1983).…”