Author(s)

GIULIA DI CREDICO, ALESSANDRA AIMI, CHIARA GUARDASONI

Abstract

In this paper, we consider some elastodynamics problems in 2D unbounded domains, with soft scattering conditions at the boundary, and their solution by the Boundary Element Method (BEM). The displacement identifying the elastic wave propagation is represented by both direct and indirect boundary integral formulations, which depend on the traction or on the jump of the traction at the boundary of the propagation domain, respectively. We study the characteristic singularities of the single layer and the double layer integral operators, which are involved in the considered energetic weak forms. Some algorithmic considerations about the parallel implementation of the energetic BEM and the quadrature techniques applied to overcome the issues due to the weak and the strong singularities of the integration kernels are proposed. Numerical simulations follow, showing a comparison between the external displacements obtained by the indirect and the direct formulations.

Keywords

elastodynamics, energetic BEM, single layer operator, double layer operator, weakly, singular kernel, strongly singular kernel