Multiple scattering of flexural waves by random configurations of inclusions in thin plates

W. J. Parnell; P. A. Martin

doi:10.1016/j.wavemoti.2010.10.004

Multiple scattering of flexural waves by random configurations of inclusions in thin plates

Research output: Contribution to journal › Article › peer-review

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. © 2010 Elsevier B.V.

Original language	English
Pages (from-to)	161-175
Number of pages	14
Journal	Wave Motion
Volume	48
Issue number	2
DOIs	https://doi.org/10.1016/j.wavemoti.2010.10.004
Publication status	Published - Mar 2011

Keywords

Effective wavenumber
Flexural waves
Inhomogeneous plate
Multiple scattering

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10.1016/j.wavemoti.2010.10.004

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title = "Multiple scattering of flexural waves by random configurations of inclusions in thin plates",

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. {\textcopyright} 2010 Elsevier B.V.",

keywords = "Effective wavenumber, Flexural waves, Inhomogeneous plate, Multiple scattering",

author = "Parnell, {W. J.} and Martin, {P. A.}",

year = "2011",

month = mar,

doi = "10.1016/j.wavemoti.2010.10.004",

language = "English",

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journal = "Wave Motion",

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AU - Parnell, W. J.

AU - Martin, P. A.

PY - 2011/3

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N2 - 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. © 2010 Elsevier B.V.

AB - 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. © 2010 Elsevier B.V.

KW - Effective wavenumber

KW - Flexural waves

KW - Inhomogeneous plate

KW - Multiple scattering

U2 - 10.1016/j.wavemoti.2010.10.004

DO - 10.1016/j.wavemoti.2010.10.004

M3 - Article

SN - 0165-2125

VL - 48

SP - 161

EP - 175

JO - Wave Motion

JF - Wave Motion

IS - 2

ER -

Multiple scattering of flexural waves by random configurations of inclusions in thin plates

Abstract

Keywords

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