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Method of optimal truncation [electronic resource] : a new t-matrix approach to elastic wave scattering

Published
Los Alamos, N.M. : Los Alamos Scientific Laboratory, 1979.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
Pages: 16 : digital, PDF file
Additional Creators
Los Alamos Scientific Laboratory and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
A family of matrix theories of elastic wave scattering is derived, and one, which is in a certain sense optimal, is developed. Called the method of optimal truncation (MOOT), it results from a minimum principle and can be shown to yield a convergent sequence of approximations. Numerical results for scattering cross-sections for longitudinal incident waves with ka less than or equal to 10 from fixed rigid obstacles and voids with axial symmetry are obtained using MOOT, and are compared with results of other matrix theories. Shapes considered include spheres, oblate and prolate spheroids, pillboxes, and cones. Convergence is demonstrated. Extension of the method to elastic and fluid inclusions is discussed, as is its application to cracks, which may be accomplished by simulating the crack with an incompletely bonded identical inclusion. Implications of reciprocity and time-reversal invariance are discussed.
Report Numbers
E 1.99:la-ur-79-1954
E 1.99: conf-7906109-1
conf-7906109-1
la-ur-79-1954
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
01/01/1979.
"la-ur-79-1954"
" conf-7906109-1"
Conference on focus on the T-Matrix approach, Columbus, OH, USA, 25 Jun 1979.
Visscher, W.M.
Funding Information
W-7405-ENG-36
View MARC record | catkey: 14064891