Application Of The BIE With Hypersingular
Integrals In Fracture Mechanics
Author(s)
V.V. Zozulyaand P.I. Gonzalez-Chi
Abstract
This paper considers divergent integrals which arise when boundary integral
equations (BIE) are used to solve problems at fracture mechanics. Based on the
theory of distribution an approach has been developed for the regularization and
numerical calculation of the divergent integrals that arise at the BIE of fracture
mechanics. These hypersingular integrals are considered in the sense of
Hadamard as finite parts. For their regularization, an approach based on the
application of the Gauss-Ostrogradskii and Green theorems have been used. The
expressions, which allow an easy calculation of the hypersingular integrals for
two-dimensional (2-D) and three-dimensional (3-D) elastostatics and elasto-
dynamics have been constructed. Such
Keywords
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