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Please use this identifier to cite or link to this item:http://essuir.sumdu.edu.ua/handle/123456789/22401
Title: Dynamic problems of the theory of elasticity for layers and semilayers with cavities
Authors: Фильштинський, Леонід Аншелович
Фильштинский, Леонид Аншелович
Fylshtynskyi, Leonid Anshelovych
Кушнір, Дмитро Васильович
Кушнир, Дмитрий Васильевич
Kushnir, Dmytro Vasylovych
Бардзокас, Д. І.
Бардзокас, Д. И.
Bardzokas, D. I.
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
Issue Year: 2009
Publisher: Springer
Citation: Dimosthenis I. Bardzokas, D. V. Kushnir and L. A. Filshtinskii. Dynamic problems of the theory of elasticity for layers and semilayers with cavities. Acta Mechanica, 2009, Volume 208, Numbers 1-2, Pages 81-95
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
URI: http://essuir.sumdu.edu.ua/handle/123456789/22401
Type: Article
Appears in Collections:Наукові видання (ЕлІТ)

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