Dependence on a parameter in continuum mechanics

Abstract

In this paper is pointed out the special meaning of some parameters which are present in the constitutive relations of Continuum Mechanics. They make possible to characterize some important properties such as incompressibility and rigidity. Furthermore, it seems convenient to take into consideration in the constitutive relations the greatest dimension of the elementary particles of the physical corpuscular hypothesis of matter. Its presence leads to a more refined continuum model which, among other things, requires more physically acceptable conditions on the boudary than the usual ones.

Keywords

• continuun mechanics
• mathematical theory of elasticity
• mathematical physics