Approximation Solutions of Boundary-contact Problems of Non-classical Diffusion Models Coupled-elasticity

Authors

  • Manana Chumburidze Akaki Tsereteli State University, Kutaisi
  • David Lekveishvili Akaki Tsereteli State University, Kutaisi
  • Elza Bitsadze Georgian Technical University, Kutaisi

Keywords:

Approximate method, Boundary-contact problems, coupled thermo-diffusion

Abstract

In this article we formulate and analyze a class of diffusion PDE models for oscillation systems of coupled–elasticity in 2-D bounded domains. Approximate method in Green-Lindsay formulation with thermal and diffusion relaxation times has been developed. Basic Boundarycontact problems for isotropic inhomogeneous finite and infinite media with the inclusion of piecewise elastic material in assumptions that surface is sufficiently smooth have been investigated. The tools applied in this development are based on singular integral equations, Laplace transform, the potential method, Green’s Tensors and generalized Fourier series analysis.

Author Biographies

Manana Chumburidze, Akaki Tsereteli State University, Kutaisi

Manana Chumburidze
Akaki Tsereteli State University
22/6 str. K.Meskhi, Kutaisi, Georgia, 4600
maminachumb02@gmail.com

David Lekveishvili, Akaki Tsereteli State University, Kutaisi

David Lekveishvili
Akaki Tsereteli State University
59 Str.Tamar Mephe , Kutaisi, Georgia, 4600
david.lekveishvili@atsu.edu.ge

Elza Bitsadze, Georgian Technical University, Kutaisi

Elza Bitsadze
Phd student of Georgian technical University
22/74 str.Javakhishvili, Kutaisi, Georgia, 4600
eliza-bitsadze@mail.ru

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Published

2018-05-08

How to Cite

Chumburidze, M., Lekveishvili, D., & Bitsadze, E. (2018). Approximation Solutions of Boundary-contact Problems of Non-classical Diffusion Models Coupled-elasticity. BRAIN. Broad Research in Artificial Intelligence and Neuroscience, 9(2), pp. 177-183. Retrieved from https://lumenpublishing.com/journals/index.php/brain/article/view/2043

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