Non-singular Green’s functions for quadratic-order indirect-BEM discretizations: implementation and numerical results

Resumo

This article presents original Green’s functions that can used to model bounded and unbounded prob-
lems through boundary discretization and meshless methods. Time-harmonic loads are applied within rectangular

patches within isotropic, three-dimensional full-spaces. The coupled differential equations describing the problem
are solved with the aid of double Fourier transforms. A boundary-value problem corresponding to horizontal and
vertical loads with bi-quadratic distribution over the loaded area is considered. The final stress and displacement
fields are expressed in terms of double Fourier integrals to be evaluated numerically. These non-singular Green’s
functions can be thought of as bi-quadratic boundary elements, to be used within direct and indirect boundary
element formulations.