The integral equation formulations of an infinite elastic medium containing inclusions, cracks and rigid lines

The integral equation formulations of an infinite homogeneous isotropic medium containing various inclusions, cracks and rigid lines are presented. The present integral equation formulations contain the displacements (no tractions) over the inclusion-matrix interfaces, the discontinuous displacements over crack surfaces and the axial and the shear forces along rigid-line inclusions. Besides, the sub-domain boundary element method is also used in the present research. Numerical results from the present method and the sub-domain boundary element method are compared and discussed.