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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2004; 60:116 Prepared using nmeauth.cls [Version: 2002/09/18 v2.02]

Int. J. Numer. Meth. Engng 2004; 60:1­16 Prepared using nmeauth.cls [Version: 2002/09/18 v2.02]
Rayleigh wave correction for the BEM analysis of two-dimensional
elastodynamic problems in a half-space
I. Ariasand J. D. Achenbach
Center for Quality Engineering and Failure Prevention
Northwestern University, Evanston, IL 60208, USA
A simple, elegant approach is proposed to correct the error introduced by the truncation of the infinite
boundary in the BEM modelling of two-dimensional wave propagation problems in elastic half-spaces.
The proposed method exploits the knowledge of the far-field asymptotic behavior of the solution to
adequately correct the BEM displacement system matrix for the truncated problem to account for the
contribution of the omitted part of the boundary. The reciprocal theorem of elastodynamics is used
for a convenient computation of this contribution involving the same boundary integrals that form
the original BEM system. The method is formulated for a two-dimensional homogeneous, isotropic,
linearly elastic half-space and its implementation in a frequency domain boundary element scheme
is discussed in some detail. The formulation is then validated for a free Rayleigh pulse travelling on
a half-space and successfully tested for a benchmark problem with a known approximation to the
analytical solution. Copyright c 2004 John Wiley & Sons, Ltd.
key words: Infinite domain; frequency domain BEM; boundary truncation; 2D elastodynamics;


Source: Arias, Irene - Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya


Collections: Engineering; Materials Science