Green's function of radial inhomogeneous spheres excited by internal sources

Zouros, GP; Kokkorakis, GC

dc.contributor.author	Zouros, GP	en
dc.contributor.author	Kokkorakis, GC	en
dc.date.accessioned	2014-03-01T01:35:46Z
dc.date.available	2014-03-01T01:35:46Z
dc.date.issued	2011	en
dc.identifier.issn	0001-4966	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21188
dc.subject.classification	Acoustics	en
dc.subject.other	Analytical evaluation	en
dc.subject.other	Elastic problems	en
dc.subject.other	Inhomogeneous density	en
dc.subject.other	Internal source	en
dc.subject.other	Numerical results	en
dc.subject.other	Volume integral equation	en
dc.subject.other	Compressibility	en
dc.subject.other	Differential equations	en
dc.subject.other	Spheres	en
dc.subject.other	Integral equations	en
dc.subject.other	acoustics	en
dc.subject.other	article	en
dc.subject.other	computer simulation	en
dc.subject.other	elasticity	en
dc.subject.other	electromagnetic field	en
dc.subject.other	mathematical computing	en
dc.subject.other	particle size	en
dc.subject.other	pressure	en
dc.subject.other	statistical model	en
dc.subject.other	theoretical model	en
dc.subject.other	Acoustics	en
dc.subject.other	Computer Simulation	en
dc.subject.other	Elasticity	en
dc.subject.other	Electromagnetic Phenomena	en
dc.subject.other	Linear Models	en
dc.subject.other	Models, Theoretical	en
dc.subject.other	Numerical Analysis, Computer-Assisted	en
dc.subject.other	Particle Size	en
dc.subject.other	Pressure	en
dc.title	Green's function of radial inhomogeneous spheres excited by internal sources	en
heal.type	journalArticle	en
heal.identifier.primary	10.1121/1.3514519	en
heal.identifier.secondary	http://dx.doi.org/10.1121/1.3514519	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Green's function in the interior of penetrable bodies with inhomogeneous compressibility by sources placed inside them is evaluated through a Schwinger-Lippmann volume integral equation. In the case of a radial inhomogeneous sphere, the radial part of the unknown Green's function can be expanded in a double Dini's series, which allows analytical evaluation of the involved cumbersome integrals. The simple case treated here can be extended to more difficult situations involving inhomogeneous density as well as to the corresponding electromagnetic or elastic problem. Finally, numerical results are given for various inhomogeneous compressibility distributions. (C) 2011 Acoustical Society of America. [DOI: 10.1121/1.3514519]	en
heal.publisher	ACOUSTICAL SOC AMER AMER INST PHYSICS	en
heal.journalName	Journal of the Acoustical Society of America	en
dc.identifier.doi	10.1121/1.3514519	en
dc.identifier.isi	ISI:000286944600010	en
dc.identifier.volume	129	en
dc.identifier.issue	1	en
dc.identifier.spage	24	en
dc.identifier.epage	31	en