Regularization of the hypersingular integrals in 3-D problems of fracture mechanics

摘要

This article considers the hypersingular integrals, which arise when the boundary integral equation (BIE) methods are used to solve fracture mechanics problems. The methodology of hypersingular integral regularization developed in our previous publications is based on theory of distribution and Green's theorems. In the case of piecewise constant and piecewise linear approximations the hypersingular integrals are transformed into the regular contour integrals that can be easily calculated analytically or numerically.