The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-SpaceReportar como inadecuado




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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.

KEYWORDS

Piezo-Thermoelasticity; Quasi Plane Longitudinal Waves; Reflection and Refraction Coefficients; Initial Stresses; Green And Lindsay Theory; Relaxation Time

Cite this paper

F. Alshaikh -The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space,- Applied Mathematics, Vol. 3 No. 8, 2012, pp. 819-832. doi: 10.4236-am.2012.38123.





Autor: Fatimah A. Alshaikh

Fuente: http://www.scirp.org/



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