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On causality in dynamic response analysis by time-dependent boundary element methods

✍ Scribed by Heinz Antes; Otto Von Estorff

Publisher: John Wiley and Sons
Year: 1987
Tongue: English
Weight: 342 KB
Volume: 15
Category: Article
ISSN: 0098-8847
DOI: 10.1002/eqe.4290150707

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✦ Synopsis

The ramifications of a particular type of causality constraint, namely so-called shadow-zones, are explored in the context of time-dependent boundary element methods. In particular, wave propagation problems in 2-D elastic soil media with anonconvex shape are analysed.

Uti) (X, 5; t, 5) = U(j) (5, X; -T,t ) U"'(X, 5 ; t + TI, T + T ) = U (i) (X, 5; t, T) (ii) time translation: and, most important, (iii) causality: u(i) (x, 5; t, T) = 0 whenever c, (t -T) < Ix -51.

The causality stipulates that there be no response at the observation point x if the wave velocities c, are too

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