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Instability of thermoelastic interaction between a half-space and a rigid base through a thin liquid layer

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Abstract

We investigate the instability of thermoelastic interaction between elastic and rigid half-spaces through a liquid interlayer under the conditions of heat transfer across the interfaces. Due to the small thickness of the liquid layer, its influence on the temperature field is taken into account by the thermal resistance of the contact between the bodies, which depends on the normal displacement of the boundary of the elastic body. The pressure inside the liquid is equal to the external pressure applied to the bodies. We determined the critical value of the external heat flow for which the instability becomes possible in such a system and studied the dependence of this value on the parameters of the elastic half-space, the thickness of the liquid layer, and its thermal conduction.

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Authors
  1. R. M. Martynyak
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Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 41, No. 2, pp. 76–82, April–June, 1998.

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Martynyak, R.M. Instability of thermoelastic interaction between a half-space and a rigid base through a thin liquid layer. J Math Sci 99, 1607–1615 (2000). https://doi.org/10.1007/BF02674183

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  • DOI: https://doi.org/10.1007/BF02674183

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