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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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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DOI: https://doi.org/10.1007/978-3-319-30379-6_7
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