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

Manana Chumburidze ()
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Manana Chumburidze: Ak.Tsereteli State University

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 71-80 from Springer

Abstract: 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.

Keywords: Thermo-elastic Coupling (CPTE); Homogeneous Isotropic Elastic Material; Singular Integral Equations; Harmonic Potential Theory; Holder Class (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_7

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DOI: 10.1007/978-3-319-30379-6_7

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