WIT Press


A Green's Function Of The Elastodynamic Half-plane And Its Application To The Time-domain Boundary Element Method

Price

Free (open access)

Volume

10

Pages

8

Published

1995

Size

696 kb

Paper DOI

10.2495/BE950261

Copyright

WIT Press

Author(s)

C. Richter & G. Schmid

Abstract

The transient Green's function for the 2D Lamb's problem is derived for the general case where both, source and receiver point are situated beneath the traction-free surface of the half-plane. It is used to calculate boundary ele- ment approximations for subsurface structures in the time-domain without the need to discretize the surface of the half-plane. The time convolution is performed numerically in an abstract complex plane. The solution pro- cedure proved to be more efficient for problems concerning the half-plane than techniques using the full-space fundamental solution. 1 Introduction Only a few amount of publications exist in boundary element methods which employ a Green's function as kernel of the boundary integral

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