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Publication Date:
February 2010
ISSN:
1572-9176
DOI:
10.1515/GMJ.2000.701

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Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.

Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, J. / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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IMPACT FACTOR 2011: 0.262
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Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces

N. Khomasuridze1

1I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, 2. University St., Tbilisi 380043, Georgia

Citation Information: Georgian Mathematical Journal. Volume 7, Issue 4, Pages 701–722, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2000.701, February 2010

Publication History:
Received:
1999-09-06
Published Online:
2010-02-23

Abstract

An exact solution of the boundary value problems of thermoelastic equilibrium of a homogeneous isotropic rectangular parallelepiped is constructed. The parallelepiped is affected by a stationary thermal field and surface disturbances, in particular, on each side of the rectangular parallelepiped the following parameters are defined: a normal component of the displacement vector and tangential stresses (nonhomogeneous symmetry conditions) or normal stress and tangential stresses (nonhomogeneous antisymmetry conditions). The solution of the problems is constructed in series using the method of separation of variables.

Key words and phrases:: Thermoelasticity; boundary value problem; rectangular paralleleppiped; symmetry conditions; antisymmetry conditions; nonhomogeneous compatibility conditions; Fourier method

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