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

Bardzokas, D.I.; Fylshtynskyi, Leonid Anshelovych; Kushnir, Dmytro Vasylovych

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Title	Dynamic problems of the theory of elasticity for layers and semilayers with cavities
Authors	Bardzokas, D.I. Fylshtynskyi, Leonid Anshelovych Kushnir, Dmytro Vasylovych
ORCID
Keywords	dynamic problems fundamental (F)-solutions layers and semilayers containing cavities three-dimensional cylindrical bodies one-dimensional singular integral equations integral Fourier transform in time
Type	Article
Date of Issue	2009
URI	http://essuir.sumdu.edu.ua/handle/123456789/22401
Publisher	Springer
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Citation	Bardzokas, D.I. Dynamic problems of the theory of elasticity for layers and semilayers with cavities [Text] / D.I. Bardzokas, D.V. Kushnir, L.A. Filshtinskii // Acta Mechanica. - 2009. - Vol. 208. - №1-2. - P. 81-95. - DOI 10.1007/s00707-008-0131-6.
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. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/22401
Appears in Collections:	Наукові видання (ЕлІТ)