Author:

Keywords:

Boundary element method, Elastodynamics, H-matrices, Halfspace Green's functions, Railway induced vibrations, Science & Technology, Technology, Physical Sciences, Engineering, Multidisciplinary, Mathematics, Interdisciplinary Applications, Engineering, Mathematics, ADAPTIVE CROSS APPROXIMATION, FAST MULTIPOLE BEM, H-MATRICES, INTEGRAL-EQUATIONS, 3-D ELASTODYNAMICS, INDUCED VIBRATIONS, NUMERICAL-MODEL, ELASTIC-WAVES, SCATTERING, IRREGULARITIES, 0102 Applied Mathematics, 0905 Civil Engineering, 0913 Mechanical Engineering, Applied Mathematics, 4005 Civil engineering, 4017 Mechanical engineering, 4901 Applied mathematics

Abstract:

This paper presents the application of hierarchical matrices to boundary element methods for elastodynamics based on Green's functions for a horizontally layered halfspace. These Green's functions are computed by means of the direct stiffness method; their application avoids meshing of the free surface and the layer interfaces. The effectiveness of the methodology is demonstrated through numerical examples, indicating that a significant reduction of memory and CPU time can be achieved with respect to the classical boundary element method. This allows increasing the problem size by one order of magnitude. The proposed methodology therefore offers perspectives to study large scale problems involving three-dimensional elastodynamic wave propagation in a layered halfspace, with possible applications in seismology and dynamic soil-structure interaction. © 2013 Elsevier Ltd.