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Mathematical and Computational Approaches in Advancing Modern Science and Engineering pp 71–80Cite as

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

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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.

Mathematics Subject Classifications (2010) 26A33 60G22 35R60 34K37

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Acknowledgements

I would like to express my special gratitude to memories of my professors Tengis Burchuladze and Davit Gelashvili.

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Authors and Affiliations

  1. Ak.Tsereteli State University, Kutaisi, Georgia

    Manana Chumburidze

Authors
  1. Manana Chumburidze
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Corresponding author

Correspondence to Manana Chumburidze .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Montreal, Montreal, Québec, Canada

    Jacques Bélair

  2. Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada

    Ian A. Frigaard

  3. Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada

    Herb Kunze

  4. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roman Makarov

  5. MS2Discovery Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roderick Melnik

  6. Department of Computer Science, University of Saskatchewan, Saskatoon, Saskatchewan, Canada

    Raymond J. Spiteri

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Chumburidze, M. (2016). Approximate Solution of Some Boundary Value Problems of Coupled Thermo-Elasticity. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_7

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