HYPERSINGULAR INTEGRAL EQUATIONS AND BOUNDARY ELEMENT METHOD FOR PLANAR CRACK PROBLEMS IN THREE DIMENSIONAL FINITE BODIES

Using the Somigliana representation and the concepts of finite part integrals, a set of hypersingular integral equations of a planar crack in a three dimensional finite body and subjected to arbitrary loads are derived,and a numerical method is proposed by combining the finite part integral method with the boundary element method. According to the analytic theory of hypersingular integral equations, the square root models of displacement discontinuities in the elements near the crack front are applied,...