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The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space
Department of Mathematics, Science College, Jazan University, Jazan, Saudi Arabia
- 1 Department of Mathematics, Science College, Jazan University, Jazan, Saudi Arabia
Applied Mathematics·Volume 03 (2012)·Pages 819–832·Published 28 August 2012·DOI10.4236/am.2012.38123
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Abstract
The present paper concentrates on the study of reflection and refraction phenomena of waves in pyroelectric and piezo-electric media under initial stresses and two relaxation times influence by apply suitable conditions. The generalized theories of linear piezo-thermoelasticity have been employed to investigate the problem. In two-dimensional model of transversely isotropic piezothermoelastic medium, there are four types of plane waves quasi-longitudinal (qP), quasi-transverse (qSV), thermal wave (T-mode), and potential electric waves (φ-mode) The amplitude ratios of reflection and refraction waves have been obtained. Finally, the results in each case are presented graphically.
KeywordsPiezo-ThermoelasticityQuasi Plane Longitudinal WavesReflection and Refraction CoefficientsInitial StressesGreen And Lindsay TheoryRelaxation Time
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