Analytical integrations for two-dimensional elastic analysis by the symmetric Galerkin boundary element method

• DOI: 10.1007/s004660050412
• Publication Date: 2002-08-25T09:09:23Z
• Authors: A. Carini; M. Diligenti; P. Maranesi; M. Zanella
• Keywords: Linear elasticity; Regularization; Elasticity

In the context of linear elasticity, this paper presents a way to perform hypersingular integrals arising from the symmetric Galerkin Boundary Element Method (BEM). In contrast to the existing integration techniques, the one here proposed does not need any regularization or limit processes: in fact it works directly on the final form of the hypersingular double integrals without any previous manipulation. The present method is applied to 2D linear elastic problems, using straight elements with continuous piecewise-linear displacements and piecewise-constant tractions. Numerical tests are presented for the validation of the obtained analytic results.