Weak Solutions in Elasticity of Dipolar Porous Materials

The theories of porous materials represent a material length scale and are quite sufficient for a large number of the solid mechanics applications. In the following, we restrict our attention to the behavior of the porous solids in which the matrix material is elastic and the interstices are voids of material. The intended applications of this theory are to the geological materials, like rocks and soils and to the manufactured porous materials. The plane of the paper is the following one. In the beginning, we write down the basic equations and conditions of the mixed boundary value problemwithin context of linear theory of initially stressed bodies with voids, as in the papers of 1, 2 . Then, we accommodate some general results from the paper 3 , and the book 4 , in order to obtain the existence and uniqueness of a weak solution of the formulated problem. For convenience, the notations chosen are almost identical to those of 2, 5 .