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Use of reciprocity considerations for the two-dimensional BEM analysis of wave

Summary: Use of reciprocity considerations for the
two-dimensional BEM analysis of wave
propagation in an elastic half-space with
applications to acoustic emission
Irene Arias and Jan D. Achenbach
Center for Quality Engineering and Failure Prevention, Northwestern University,
Evanston, IL 60208, USA
A simple numerical treatment of the infinite boundary in the BEM analysis of two-
dimensional wave propagation problems in elastic half-spaces is proposed to avoid
the spurious reflections of non-decaying Rayleigh waves introduced by the trunca-
tion of the boundary. 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 exclusively in terms of the bound-
ary integrals of the original BEM system. The method is applied to the study of
the acoustic emission from nucleating and propagating surface-breaking and buried
cracks in a two-dimensional elastic half-space. It is shown to be particularly advan-
tageous since it allows for an accurate calculation of the generated signal even when


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


Collections: Engineering; Materials Science