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.
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September 1984
Research Papers
Finite Element Eigenfunction Method (FEEM) for Elastic Wave Scattering by Arbitrary Three-Dimensional Axisymmetric Scatterers
J. H. Su,
J. H. Su
Wave Propagation Group, Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210
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V. V. Varadan,
V. V. Varadan
Wave Propagation Group, Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210
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V. K. Varadan
V. K. Varadan
Wave Propagation Group, Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210
Search for other works by this author on:
J. H. Su
Wave Propagation Group, Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210
V. V. Varadan
Wave Propagation Group, Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210
V. K. Varadan
Wave Propagation Group, Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210
J. Appl. Mech. Sep 1984, 51(3): 614-621 (8 pages)
Published Online: September 1, 1984
Article history
Received:
January 1, 1983
Revised:
October 1, 1983
Online:
July 21, 2009
Citation
Su, J. H., Varadan, V. V., and Varadan, V. K. (September 1, 1984). "Finite Element Eigenfunction Method (FEEM) for Elastic Wave Scattering by Arbitrary Three-Dimensional Axisymmetric Scatterers." ASME. J. Appl. Mech. September 1984; 51(3): 614–621. https://doi.org/10.1115/1.3167682
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