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Nonstationary Rayleigh waves on the thermally-insulated surfaces of some thermoelastic bodies of revolution

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Summary

The influence of heat conduction and thermal relaxation on the propagation of the surface waves polarized in the sagittal plane along the heat-insulated surfaces of the following thermoelastic bodies of revolution: a cylinder, a sphere, a torus, and a cone is investigated. The modified Maxwell law is used as the law of heat conduction, which allows one to take a finite speed of heat propagation into account. The nonstationary surface waves are interpreted as lines (a straight line or a diverging or converging circumference) on which the temperature and the components of the stress and strain tensors experience a discontinuity. Each of the discontinuity lines propagates with a constant normal velocity across the free from stresses and thermally-insulated surface of the body of revolution along the corresponding lines of curvature and is obtained by coming onto the body's surface of the three strong discontinuity complex wave surfaces which intersect along this line: quasi-thermal, quasi-longitudinal and quasi-transverse volume waves. By applying the theory of discontinuities, the velocities and the intensities of the surface waves have been found. It has been shown that the attenuation of the surface wave intensity is determined by the two factors: the coupling between the related strain and temperature fields and the change in curvature of the surface wave with time if the wave is a curvilinear one.

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Authors and Affiliations

  1. Department of Theoretical Mechanics, Voronezh State University of Architecture and Civil Engineering, ul. Kirova 3-75, 394018, Voronezh, Russia

    Yu. A. Rossikhin &  M. V. Shitikova

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  1. Yu. A. Rossikhin
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  2. M. V. Shitikova
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Rossikhin, Y.A., Shitikova, M.V. Nonstationary Rayleigh waves on the thermally-insulated surfaces of some thermoelastic bodies of revolution. Acta Mechanica 150, 87–105 (2001). https://doi.org/10.1007/BF01178547

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  • DOI: https://doi.org/10.1007/BF01178547

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