Multiple scattering of flexural waves by random configurations of inclusions in thin plates |
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| Authors: | W.J. Parnell P.A. Martin |
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| Affiliation: | a School of Mathematics, University of Manchester, Manchester M13 9PL, UKb Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO 80401-1887, USA |
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| Abstract: | Flexural waves are scattered by inclusions in a thin plate. For a single inclusion of arbitrary shape, reciprocity relations are obtained connecting coefficients in circular multipole expansions. Then, a formula for the effective wavenumber in a random arrangement of identical circular inclusions is derived, using the Lax quasi-crystalline approximation. |
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| Keywords: | Flexural waves Inhomogeneous plate Multiple scattering Effective wavenumber |
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