Author(s)

D.L. Karabalis & B.C. Rizos

Abstract

An advanced direct time domain boundary element method for 3-D elastodynamic problems D.L. Karabalis, B.C. Rizos Department of Civil Engineering, University of South Carolina, Columbia, SC 29208, USA ABSTRACT A time domain BEM formulation of the general 3-D elastodynamic problem is presented. Higher order temporal approximations based on B-spline interpolations along with isoparametric spatial discretizations are used in conjunction with the Stokes solutions for the full space. Two benchmark numerical examples are used to demonstrate the accuracy efficiency, and stability of the proposed methodology. INTRODUCTION The successful application of the BEM to the solution of elastodynamic problems has been reported continuously since the mid-sixties. Most of these applications are based on transform domain formulations of the Fourier or the Laplace type. Among those, one could mention the pioneering works of Banaugh and Goldsmith [1],

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