Fourier transformed boundary integral equations for transient problems of elasticity and thermo-elasticity

摘要

To overcome the restriction of actual boundary element methods (BEM) to cases where fundamental solutions are known, an alternative BEM-approach was presented in Duddeck and Pomp [6] and Duddeck and Geisenhofer, This approach is based on new boundary integral equations (BIE) for the computation of the entries of the standard BEM matrices which are obtained by a spatial and temporal Fourier transform of the traditional BIE. In these equations, we only need the transform of the fundamental solution and not the fundamental solution itself. The former is always available as long as the underlying differential operator is linear and has constant coefficients. Here, this method is extended to dynamic problems. Transient problems can be tackled by a Galerkin time-step scheme.