The Regularization of the Divergent Integrals in 2-D Elastostatics

V. V. Zozulya

Abstract


This article considers weakly singular, singular and hypersingular integrals, which arise when the boundary integral equation (BIE) methods are used to solve problems in 2-D elastostatics. For their regularization, an approach based on the theory of distribution and application of the Green’s theorem has been used. The expressions, which allow an easy calculation of the weakly singular, singular and hypersingular integrals for straight and curved boundary elements, have been constructed.

Keywords


weakly singular, singular, hypersingular integrals, regularization, boundary integral equations

Full Text:

PDF


DOI: https://doi.org/10.14713/ejbe.v7i2.994



Creative Commons License
Electronic Journal of Boundary Elements by https://ejbe.libraries.rutgers.edu is licensed under a Creative Commons Attribution-Noncommercial 4.0 United States License