Abstract
The static case of the two-temperature elastic mixture theory is considered when partial displacements of the elastic components of the mixture are equal to each other. The formula obtained for the representation of a general solution of a homogeneous system of differential equations is expressed in terms of four harmonic functions and one metaharmonic function. The uniqueness theorem for a solution is proved. Solutions are obtained in quadratures by means of boundary functions.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 89, Differential Equations and Mathematical Physics, 2013.
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Skhvitaridze, K., Kharashvili, M. & Burchuladze, D. Boundary-Value Problems of Statics in the Two-Temperature Elastic Mixture Theory for a Half-Space. J Math Sci 206, 445–456 (2015). https://doi.org/10.1007/s10958-015-2323-7
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DOI: https://doi.org/10.1007/s10958-015-2323-7