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Georgian Mathematical Journal

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

Editorial Board: 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, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio


IMPACT FACTOR 2018: 0.551

CiteScore 2018: 0.52

SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711

Mathematical Citation Quotient (MCQ) 2018: 0.27

Online
ISSN
1572-9176
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Volume 19, Issue 2

Issues

Boundary value problems of statics of the elastic mixture theory

Levan Giorgashvili / Aslan Jagmaidze / Ketevan Skhvitaridze
Published Online: 2012-05-30 | DOI: https://doi.org/10.1515/gmj-2012-0016

Abstract.

For a homogeneous system of differential equations of statics of the elastic mixture theory, we solve the basic boundary value problems using Papkovich–Neuber representations and Fourier integral transforms when the displacement vector or stress vector values are given on the boundary . The solution uniqueness theorem is proved for the problems posed. Solutions are obtained in quadratures.

Keywords: Elastic mixture theory; Fourier integral transform; uniqueness theorem; Papkovich–Neuber representation

About the article

Received: 2011-05-13

Published Online: 2012-05-30

Published in Print: 2012-06-01


Citation Information: Georgian Mathematical Journal, Volume 19, Issue 2, Pages 217–233, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2012-0016.

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© 2012 by Walter de Gruyter Berlin Boston.Get Permission

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