In this work a new substructure technique for transient boundary element analyses and transient coupled boundary and finite element analyses is presented. The application is plane strain analysis of soil-structure interaction and wave propagation problems. After a preliminary study of one-dimensional wave propagation problems, an overview of elastodynamics is given. The equation of motion is derived and some homogeneous solutions are studied. The important case of plane harmonic waves is investigated and some emphasis is placed on the case of wave reflection and refraction at traction free surfaces. The phenomenon of surface waves is explained. A concise review of boundary integral equations and boundary element methods for plane strain Laplace domain problems is given. The novel substructure technique (Duhamel-BEM), based on the generalization of Duhamel integrals and their numerical approximation by means of the convolution quadrature method (CQM) is introduced for the general three-dimensional case. The method is then validated with several plane strain benchmark problems and the results are discussed. Next the Duhamel-BEM is applied to a coupled BEM-FEM analysis. The coupling methodology is explained and some benchmark examples are shown.
Wolfgang Moser
Duhamel-BEM Substructure technique