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Article: Unified boundary integral equation for the scattering of elastic and acoustic waves: Solution by the method of moments

TitleUnified boundary integral equation for the scattering of elastic and acoustic waves: Solution by the method of moments
Authors
Issue Date2008
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/17455030.asp
Citation
Waves In Random And Complex Media, 2008, v. 18 n. 2, p. 303-324 How to Cite?
AbstractA unified boundary integral equation (BIE) is developed for the scattering of elastic and acoustic waves. Traditionally, the elastic and acoustic wave problems are solved separately with different BIEs. The elastic wave case is represented in a vector BIE with the traction and displacement vectors as unknowns whereas the acoustic wave case is governed by a scalar BIE with velocity potential or pressure as unknowns. Although these two waves can be unified in the form of a partial differential equation, the unified form in its BIE counterpart has not been reported. In this work, we derive the unified BIE for these two waves and then show that the acoustic wave case can be derived from this BIE by introducing a shielding loss for small shear modulus approximation; hence only one code needs to be maintained for both elastic and acoustic wave scattering. We also derive the asymptotic Green's tensor for zero shear modulus and solve the corresponding vector equation. We employ the method of moments, which has been widely used in electromagnetics, as a numerical tool to solve the BIEs involved. Our numerical experiments show that it can also be used robustly in elastodynamics and acoustics.
Persistent Identifierhttp://hdl.handle.net/10722/182743
ISSN
2015 Impact Factor: 1.061
2015 SCImago Journal Rankings: 0.578
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTong, MSen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:40Z-
dc.date.available2013-05-02T05:16:40Z-
dc.date.issued2008en_US
dc.identifier.citationWaves In Random And Complex Media, 2008, v. 18 n. 2, p. 303-324en_US
dc.identifier.issn1745-5030en_US
dc.identifier.urihttp://hdl.handle.net/10722/182743-
dc.description.abstractA unified boundary integral equation (BIE) is developed for the scattering of elastic and acoustic waves. Traditionally, the elastic and acoustic wave problems are solved separately with different BIEs. The elastic wave case is represented in a vector BIE with the traction and displacement vectors as unknowns whereas the acoustic wave case is governed by a scalar BIE with velocity potential or pressure as unknowns. Although these two waves can be unified in the form of a partial differential equation, the unified form in its BIE counterpart has not been reported. In this work, we derive the unified BIE for these two waves and then show that the acoustic wave case can be derived from this BIE by introducing a shielding loss for small shear modulus approximation; hence only one code needs to be maintained for both elastic and acoustic wave scattering. We also derive the asymptotic Green's tensor for zero shear modulus and solve the corresponding vector equation. We employ the method of moments, which has been widely used in electromagnetics, as a numerical tool to solve the BIEs involved. Our numerical experiments show that it can also be used robustly in elastodynamics and acoustics.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/17455030.aspen_US
dc.relation.ispartofWaves in Random and Complex Mediaen_US
dc.titleUnified boundary integral equation for the scattering of elastic and acoustic waves: Solution by the method of momentsen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1080/17455030701798960en_US
dc.identifier.scopuseid_2-s2.0-42549112592en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-42549112592&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume18en_US
dc.identifier.issue2en_US
dc.identifier.spage303en_US
dc.identifier.epage324en_US
dc.identifier.isiWOS:000256189700007-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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