Finite Element Eigenfunction Method (FEEM) for Elastic Wave Scattering by Arbitrary Three-Dimensional Axisymmetric Scatterers

[+] Author and Article Information
J. H. Su, V. V. Varadan, V. K. Varadan

Wave Propagation Group, Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210

J. Appl. Mech 51(3), 614-621 (Sep 01, 1984) (8 pages) doi:10.1115/1.3167682 History: Received January 01, 1983; Revised October 01, 1983; Online July 21, 2009


A finite element eigenfunction method (FEEM) is formulated for elastic wave scattering by bounded three-dimensional axisymmetric regions (cavity, homogeneous, or inhomogeneous) for harmonic waves incident at arbitrary angles. The solutions are hence three-dimensional and no longer axisymmetric. The scattering region is enclosed within a sphere. The scattered field outside the sphere is expanded in outgoing vector spherical functions. Within the sphere, basis-functions are generated by a finite element technique applying the vector spherical harmonics as boundary conditions. The field inside the sphere is then written as a superposition of these basis functions with unknown coefficients which are then solved by matching with the exterior field. Numerical results are obtained for a variety of scatterers and comparisons made with available results.

Copyright © 1984 by ASME
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