The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-SpaceReport as inadecuate




The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space - Download this document for free, or read online. Document in PDF available to download.

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.





Author: Fatimah A. Alshaikh

Source: http://www.scirp.org/



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