ON THE EQUILIBRIUM-THEORY OF MICROSTRETCH ELASTIC SOLIDS

This paper is concerned with the static theory of microstretch elastic solids introduced by Eringen [2]. First, a counterpart of the Boussinesq-Somigliana-Galerkin solution in the classical elastostatics is presented. The problem of an infinite solid subject to concentrated body loads is solved. Then, representations of the Somigliana type are established. The potentials of single- and double-layer are used to reduce the boundary value problems to singular integral equations. Existence and uniqueness results are established.