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Plane Waves and Eigenfrequencies in the Linear Theory of Binary Mixtures of Thermoelastic Solids

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Abstract

In this paper some basic properties of wave numbers of the longitudinal and transverse plane waves are treated. The existence theorems of eigenfrequencies of the interior homogeneous boundary-value problems of steady oscillations of binary mixtures for thermoelastic solids are proved. The connection between plane waves and eigenfrequencies is established.

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Author notes

  1. Merab Svanadze

    Present address: , Mukhiani 1-3-76, 0172, Tbilisi, Georgia

Authors and Affiliations

  1. Faculty of Physics and Mathematics, Ilia Chavchavadze State University, I. Chavchavadze Ave. 32, 0179, Tbilisi, Georgia

    Merab Svanadze

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  1. Merab Svanadze
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Correspondence to Merab Svanadze.

Additional information

This paper dedicated to my teacher Professor Mikheil Basheleishvili on the occasion of his 80th birthday.

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Svanadze, M. Plane Waves and Eigenfrequencies in the Linear Theory of Binary Mixtures of Thermoelastic Solids. J Elasticity 92, 195–207 (2008). https://doi.org/10.1007/s10659-008-9157-1

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  • DOI: https://doi.org/10.1007/s10659-008-9157-1

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