Effective Solution of a Boundary Value Problem of Statics of the Theory of Elastic Mixture in a Half-plane

Authors

  • Kosta Svanadze Akaki Tsereteli State University, Kutaisi, Georgia Author

DOI:

https://doi.org/10.52340/zp17rc57

Keywords:

Linear theory of elastic mixture, Dirichlet and Neumann problems, Laplace and Poisson equation

Abstract

In the paper we consider effective solution of the boundary value problem for homogeneous equation of statics of the linear theory of elastic mixture in a half-plane, when on the boundary are given the sum of the I and III components, the difference of II and IV components the normal derivative of the sum of  II and IV components of displacement vector and rotor vector. The problem can be reduced in same domain to the of Dirichlet and Neumann problems for equation of the Poisson.

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References

დობორჯგინიძე ლ., შათაშვილი ს. 1982. მათემატიკური ფიზიკის განტოლებათა ძირითადი საკითხები, თბილისი.

Basheleishvili, M., Basheleishvili O. 1995. Two-dimensional boundary value problems of statics of the theory of elastic mixtures. Mem. Differential Equations Math. Phys. 6, 1995: 59-105.

Basheleishvili M. and Svanadze K. 2001. A new method of solving the basic plane boundary valye problems of statics of the elastic mixture theory. Georgian Mathematical Journal vol. 8, 2001: 3, 427-446.

Владимиров В.С. 1988. Уравнения математикческой физики.

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Published

2026-07-24

Issue

Section

Mathematics

How to Cite

Svanadze, K. (2026). Effective Solution of a Boundary Value Problem of Statics of the Theory of Elastic Mixture in a Half-plane. Bulletin of Akaki Tsereteli State University, 2(16), 225-237. https://doi.org/10.52340/zp17rc57

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