Dynamic problems of the theory of elasticity for layers and semilayers with cavities

Bardzokas, DI; Kushnir, DV; Filshtinskii, LA

dc.contributor.author	Bardzokas, DI	en
dc.contributor.author	Kushnir, DV	en
dc.contributor.author	Filshtinskii, LA	en
dc.date.accessioned	2014-03-01T01:30:14Z
dc.date.available	2014-03-01T01:30:14Z
dc.date.issued	2009	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19515
dc.subject	Boundary Value Problem	en
dc.subject	Singular Integral Equation	en
dc.subject	Three Dimensional	en
dc.subject	Fourier Transform	en
dc.subject.classification	Mechanics	en
dc.subject.other	Cylindrical bodies	en
dc.subject.other	Dynamic problem	en
dc.subject.other	Impulse loading	en
dc.subject.other	Semi-infinite	en
dc.subject.other	Singular integral equations	en
dc.subject.other	Solution methodology	en
dc.subject.other	Theory of elasticity	en
dc.subject.other	Elasticity	en
dc.title	Dynamic problems of the theory of elasticity for layers and semilayers with cavities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-008-0131-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-008-0131-6	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We present a solution methodology for dynamic problems of the theory of elasticity based on the fundamental (F)-solutions approach for layers and semilayers containing cavities. Under the proposed solution framework boundary-value problems for three-dimensional cylindrical bodies are reduced to well-studied systems of one-dimensional singular integral equations. With the aid of the integral Fourier transform in time, we study the problem of impulse loading at the sides of cavities. We also demonstrate how the combination of the proposed methodology with the approach of reflections can be used for the solution of analogous problems for semi-infinite layers. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-008-0131-6	en
dc.identifier.isi	ISI:000269878600007	en
dc.identifier.volume	208	en
dc.identifier.issue	1-2	en
dc.identifier.spage	81	en
dc.identifier.epage	95	en