Integrals over boundaries at infinity for the boundary integral method may be ignored

Abstract

The boundary integral equation method sometimes requires the integration of kernel functions times displacement or traction fields over boundaries at infinity. The value of these integrals in the case of two-dimensional elasticity and the action of non-self-equilibrating force densities, which is especially relevant in geotechnical engineering, is not obvious. It has been proven that these integrals sum to zero.