International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2015, 3(2), 29-34
DOI: 10.12691/ijpdea-3-2-2
Open AccessArticle

Modeling of Stress Distribution in a Semi-infinite Piecewise-homogeneous Body

Oleg Yaremko1, Natalia Yaremko1, and Elena Mogileva1

1Physical and mathematical faculty, Penza state university, Penza, Russia

Pub. Date: May 18, 2015

Cite this paper:
Oleg Yaremko, Natalia Yaremko and Elena Mogileva. Modeling of Stress Distribution in a Semi-infinite Piecewise-homogeneous Body. International Journal of Partial Differential Equations and Applications. 2015; 3(2):29-34. doi: 10.12691/ijpdea-3-2-2

Abstract

In this paper the Fourier vector integral transforms method with discontinuous coefficients developed by authors is used for elasticity theory problems solving. The analytical solving dynamic problems for theory of elasticity in piecewise homogeneous half-space is found. The explicit construction of direct and inverse Fourier vector transforms with discontinuous coefficients is presented. Unknown tension in the boundary conditions and in the internal conjugation conditions don’t commit splitting in a considered dynamic problem, so the application of the scalar Fourier integral transforms with piece-wise constant coefficients does not lead to success. Conformable theoretical bases of a method are presented in this paper. The technique of applying Fourier vector transforms for solving problems of the dynamic problems the elasticity theory.

Keywords:
piecewise homogeneous medium theory of elasticity Fourier vector transform

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