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Approximate Solution of Some Mixed Boundary Value Problems of the Generalized Theory of Couple-Stress Thermo-Elasticity

Authors: M. Chumburidze, D. Lekveishvili

Abstract:

We have considered the harmonic oscillations and general dynamic (pseudo oscillations) systems of theory generalized Green-Lindsay of couple-stress thermo-elasticity for isotropic, homogeneous elastic media. Approximate solution of some mixed boundary value problems for finite domain, bounded by the some closed surface are constructed.

Keywords: Boundary Value Problems, The couple-stress thermo-elasticity

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1337227

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References:


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[3] Manana Chumburidze and David Lekveishvili, ”Effective solution of boundary value problems of the theory of thermo piezoelectricity for a half-plane,” AIP Conference Proceedings1570, pp. 290-297, Published:december 2013, © 2013 AIP Publishing LLC, USA
[4] Manana Chumburidze, David Lekveishvili and Zurab Khurcia, "Solutions Of Boundary-Value Problems of the Generalized Theory of Couple-Stress Thermo-diffusion,” Journal of Mathematics and System Science,Volume 3, Number 7, pp365-370, 2013,David Publishing Company, USA.
[5] Manana Chumburidze , ”On the uniqueness of solutions to dynamic and pseudo oscillation problems of linear theory of two-component elastic mixture, ” AIP Conf. Proc. 1497, pp. 13-18.
[6] Manana Chumburidze and Izolda Khasaia,” To the Plane theory of Dynamic Problems of Couple-Stress Elasto-Thermodiffusion,” World Academy of Science, Engineering and Technology(WASET), Year 7 Issue 80. August 2011, pp.954-957, USA.