Application of the boundary-domain integral equation in elastic inclusion problems

A boundary-domain integral equation is used to calculate the elastic stress and strain field in a finite or infinite body of isotropic, orthotropic or anisotropic materials characterized with inclusions of arbitrary shapes. Based on the Betti-Rayleigh reciprocal work theorem between the unknown state and a known fundamental solution, the equilibrium of the body with inclusions is formulated in terms of boundary-domain integral equations. The resulting equation involves only the fundamental solution of isotropic medium, and hence the use of complicated fundamental solution for anisotropic materials could be avoided. Numerical examples are given to ascertain the correctness and effectiveness of the boundary-domain integral equation technique for the inclusion problems.