ON FUNDAMENTAL-SOLUTIONS IN TIME-DOMAIN BOUNDARY-ELEMENT ANALYSIS OF LINEAR VISCOELASTICITY

This paper presents an efficient method for the computation of the fundamental solutions in time-domain boundary integral equation for viscoelastic problems. The method proposed is based on the Laplace transform and the correspondence principle. The relaxation function is expanded in a sum of exponentials and the transformed fundamental solutions are inverted numerically into real time space. The proposed procedure requires a small computational effort and it is applicable in time-domain boundary element analysis of realistic viscoelastic problems. Numerical results of an example problem show the effectiveness and applicability of the proposed method.