Non-singular time-stepping BEM for transient elastodynamic analysis

摘要

In this work a general boundary element formulation for transient elastodynamic analysis employing outside collocation points is developed. Before introducing the formulation, a discussion on the physical meaning of the boundary integral representations for time domain elastodynamic BEM is presented. The way to perform time translations of elastodynamic states is shown. The advantage of this procedure is given by the possibility of avoiding either the direct or indirect evaluation of singular integrals over the elements that contain the source points, as well as by computing corner free terms required for continuous discretizations of solids with complex geometry.