Influence matrix diagonal block elements for two-dimensional elastodynamic problems

A method is described in this article to calculate the diagonal block elements of the inßuence matrices used in the boundary element method for two-dimensional elastodynamic problems. Currently, a method that is used in the calculation of diagonal block elements is a combination of rigid-body translation and Gaussian quadrature for the adjoining elements to the singularity point. This paper proposes to show an alternative method for the calculation of diagonal block elements of the traction inßuence matrix in elastodynamic problems where linear elements are used. In addition, the method is applied for use in the displacement inßuence matrix. The accuracy of the method is demonstrated in an example problem. Copyright