Determination of interior point stresses in two dimensional BEM thermoelastic analysis of anisotropic bodies

In conventional boundary element method (BEM) analysis, the displacements a nd stresses at an interior point of an elastic body are obtained using the respective Somigliana's identities, after the boundary solutions for the di splacements and tractions have been solved for. This paper presents the der ivation of Somigliana's identity for the strains at any interior point of a n anisotropic domain subjected to thermal effects. From these strains, the corresponding stresses at the interior point may be calculated directly usi ng the Duhamel-Neumann relation. This identity is obtained in terms of inte grals over the boundary of the solution domain only. Difficulties arising f rom the exact transformation of the volume integral term associated with th ermal loading in BEM analysis into surface integrals in the anisotropic cas e are discussed and the procedures to overcome them are described. Three nu merical examples are presented to demonstrate the veracity of the formulati ons developed. (C) 1999 Elsevier Science Ltd. All rights reserved.