Methodology of Determination of Porosity Parameters in the Theory of Microdilation

Cowin and Nunziato developed the theory of microdilatation, which allows one to effectively investigate various problems for poroelastic bodies, containing unfilled pores, based on analytical approaches. The theory of microdilatation is based on a system of differential equations, which contains several parameters, the values of which are not available in reference books, which limits the use of this theory in practice. Some publications propose schemes for determining these parameters. This paper proposes a method for determining such important parameters of the theory of microdilatation as stress parameter with porosity change and void stiffness coefficient. To determine the values of these parameters, a scheme has been developed based on a comparison of solutions plane contact problems for an elastic body in the form of a strip, the deformation of which is described by the Cowin-Nunziato theory of microdilatation, and for the corresponding elastic body in the form of a rectangle containing real, unfilled, uniformly distributed voids in the shape of circles. The first problem was studied, based on a numerical-analytical method for solving the resulting integral equation, the second problem was studied by using the finite element method. Control of the correctness of the obtained parameter values was carried out by comparing the results of studying similar contact problems with other values of the geometric parameters of the strip and rectangle.