D. Iesan et A. Pompei, ON THE EQUILIBRIUM-THEORY OF MICROSTRETCH ELASTIC SOLIDS, International journal of engineering science, 33(3), 1995, pp. 399-410
This paper is concerned with the static theory of microstretch elastic
solids introduced by Eringen [2]. First, a counterpart of the Boussin
esq-Somigliana-Galerkin solution in the classical elastostatics is pre
sented. The problem of an infinite solid subject to concentrated body
loads is solved. Then, representations of the Somigliana type are esta
blished. 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.