✦ LIBER ✦

Boundary Integral Equation Method in the Steady State Oscillation Problems for Anisotropic Bodies

✍ Scribed by David Natroshvili

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 355 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19970125)20:2<95::aid-mma839>3.0.co;2-r

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✦ Synopsis

Communicated by W. Wendland

Dedicated to Professor George C. Hsiao on the occasion of his 60th birthday

The three-dimensional steady state oscillation problems of the elasticity theory for homogeneous anisotropic bodies are studied. By means of the limiting absortion principle the fundamental matrices maximally decaying at infinity are constructed and the generalized Sommerfeld-Kupradze type radiation conditions are formulated. Special functional spaces are introduced in which the basic and mixed exterior boundary value problems of the steady state oscillation theory have unique solutions for arbitrary values of the oscillation parameter. Existence theorems are proved by reduction of the original boundary value problems to equivalent boundary integral (pseudodifferential) equations.

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