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Approximate Solution of Some Boundary Value Problems of Coupled Thermo-Elasticity

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

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  • Manana Chumburidze

    (Ak.Tsereteli State University)

Abstract

We consider a non-classical model of a pseudo oscillation system of partial differential equations of coupled thermo-elasticity in the Green-Lindsay formulation. The matrices of fundamental and singular solutions for isotropic homogeneous elastic materials have been obtained. We propose and justify a technique of approximate method for the solution of boundary value problems with mixed boundary conditions. The tools applied in this development are based on singular integral equations, the potential method and the generalized Fourier series analysis.

Suggested Citation

  • Manana Chumburidze, 2016. "Approximate Solution of Some Boundary Value Problems of Coupled Thermo-Elasticity," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 71-80, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_7
    DOI: 10.1007/978-3-319-30379-6_7
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