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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
License
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
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