The solution to the Lamb’s problem for nonlocal thermo-visco-elastic medium

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The solution to the Lamb’s problem for nonlocal thermo-visco-elastic medium

Journal Title: Bulletin of the Military University of Technology - Year 2017, Vol 66, Issue 4

Abstract

In our work we constructed the solution of the initial-boundary value problem so-called Lamb’s problem for the half space occupied with thermo-visco-elastic medium. The visco-elastic medium was described by the Biot model, whereas thermal interactions were described by the Gurtin-Pipkin model. Using the Cagniard de Hoop method we obtained the solution of the Lamb’s problem to the considered system of integro-differential equations. Based on the constructed solution of the above mentioned problem, we described the type of waves which propagate in the thermo-visco-elastic medium and the domain of their influence. The propagation of the Rayleigh’s wave was investigated. We discovered the new Rayleigh’s wave in thermo-visco-elastic medium (second Rayleigh’s wave) and named it GRL-wave (Gawinecki-Rafa- Lazuka – wave). Keywords: Lamb’s problem, Danilovskaya’s problem, thermo-visco-elastic medium, Rayleigh’s wave

Authors and Affiliations

Jerzy August Gawinecki, Józef Rafa, Jarosław Łazuka

Keywords

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EP ID EP259379
DOI 10.5604/01.3001.0010.8367
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