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LOCAL TENSOR RADIATION CONDITIONS FOR ELASTIC WAVES

✍ Scribed by S. KRENK; P.H. KIRKEGAARD


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
649 KB
Volume
247
Category
Article
ISSN
0022-460X

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✦ Synopsis


A local boundary condition is formulated, representing radiation of elastic waves from an arbitrary point source. The boundary condition takes the form of a tensor relation between the stress at a point on an arbitrarily oriented section and the velocity and displacement vectors at the point. The tensor relation generalizes the traditional normal incidence impedance condition by accounting for the angle between wave propagation and the surface normal and by including a generalized sti!ness term due to spreading of the waves. The e!ectiveness of the local tensor radiation condition is demonstrated by detailed "nite element time and frequency analysis of a concentrated force in in"nite three-dimensional space, and by a time analysis of a pulse load in a two-dimensional underground gallery.

2001 Academic Press * *t # c . r * *r r u .


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## Abstract This paper develops a finite element scheme to generate the spatial‐ and time‐dependent absorbing boundary conditions for unbounded elastic‐wave problems. This scheme first calculates the spatial‐ and time‐dependent wave speed over the cosine of the direction angle using the Higdon's on