(1) Institut für Mechanik, FB Bauwesen, Universität Essen, 45117 Essen, Germany;(2) I.Vekua Institute of Applied Mathematics, Tbilisi State University, 0143 Tbilisi, Georgia;(3) Mukhiani 1-3-76, 0172 Tbilisi, Georgia
Abstract:
In the present paper the linear theory of the liquid-saturated porous medium consisting of a microscopically incompressible solid skeleton containing microscopically incompressible liquid is considered. The fundamental solution of the system of linear coupled partial differential equations of the steady oscillations of the porous solids is constructed in terms of elementary functions and some basic properties are established.