This paper extends the scatterer polymerization methodology to three-dimensional multiple scattering of elastic waves by spherical inclusions. The methodology was originally developed for analyzing multiple scattering of elastic antiplane shear waves in two-dimensional spaces. The analytically exact solution of multiple scattering is reformulated by using this methodology, which is verified by using different ways, with or without scatterer polymerization, to solve physically the same multiple scattering problem. As an application example, the band gap formation for elastic wave propagating in a cubic lattice of spherical scatterers is observed through a series of numerical simulations. These simulations also demonstrate the capability of the present computational system for simulating three-dimensional multiple scattering of elastic waves.
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e-mail: lzping@anl.gov
e-mail: cai@ksu.edu
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December 2009
Research Papers
Three-Dimensional Multiple Scattering of Elastic Waves by Spherical Inclusions
Zunping Liu,
Zunping Liu
Department of Mechanical and Nuclear Engineering,
e-mail: lzping@anl.gov
Kansas State University
, Manhattan, KS 66506
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Liang-Wu Cai
Liang-Wu Cai
Department of Mechanical and Nuclear Engineering,
e-mail: cai@ksu.edu
Kansas State University
, Manhattan, KS 66506
Search for other works by this author on:
Zunping Liu
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, KS 66506e-mail: lzping@anl.gov
Liang-Wu Cai
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, KS 66506e-mail: cai@ksu.edu
J. Vib. Acoust. Dec 2009, 131(6): 061005 (11 pages)
Published Online: November 4, 2009
Article history
Received:
December 3, 2007
Revised:
June 10, 2009
Online:
November 4, 2009
Published:
November 4, 2009
Citation
Liu, Z., and Cai, L. (November 4, 2009). "Three-Dimensional Multiple Scattering of Elastic Waves by Spherical Inclusions." ASME. J. Vib. Acoust. December 2009; 131(6): 061005. https://doi.org/10.1115/1.4000425
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