Fundamental solution of the cracked dissimilar elastic space

Fundamental solutions are used in the Boundary-Integral Equation analysis to determine the stress or/and displacement fields of finite elastic bodies subjected to external loading. Especially for crack problems, the method of Fundamental Solutions give more accurate results because they completely satisfy part of the boundary conditions of the problem. Fundamental solutions have been derived for axisymmetric body forces acting along a circle in a redial, torsional and axial direction in a homogeneous infinite elastic space, in a homogeneous elastic half space, in a homogeneous infinite elastic space containing cracks.The investigation in the present work is focused on the development of the Fundamental Solution for the infinite dissimilar elastic space containing interface cracks (annular or circular), loaded by singular tangential coaxial circular sources. This Fundamental Solution will be used for the formulation for the Boundary-Integral Equation which will be solved numerically to analyze finite dissimilar cracked elastic solids under torsion. Advantages of the proposed method are: a) for the stress or strain analysis of a bimaterial cracked body, no discretization of the crack surface is necessary, and b) the accuracy of the results is guaranteed by the fact that singularity at the crack tip is included in the Fundamental Solution.