EVALUATION OF HYPERSINGULAR INTEGRALS IN THE BOUNDARY ELEMENT METHOD

A recently developed boundary element technique for analyzing regions with cracks requires the consideration of hypersingular integrals. Although these integrals can be evaluated analytically, they require that the functional representation at collocation points on the crack surface be differentiable. An algorithm which accomplishes this task for three-dimensional problems, utilizing standard elements, is presented herein. The entire neighborhood of a singular point is used to define the polynominal approximation, and the coefficients are determined by means of the generalized inverse of a rectangular matrix.