Author(s)

R. Avila, V. Mantic and F. Paris

Abstract

A formulation of the Somigliana displacement and stress identities for plane orthotropic elastic bodies is introduced. Simple explicit formulae in com- plex variable of all the integral kernels and the free term tensor in the Somigliana displacement identity are presented. A BEM implementation of both identities is described and a comparative study of analytical and numerical integrations from the point of view of computational time and solution accuracy is performed. A study of error and convergence rate in stress computation at the center of linear elements by means of two ap- proaches, a direct application of the hypersingular Somigliana stress iden- tity and computing stresses directly from the nodal values of displacements and tractions, is performed. A

Keywords