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A. N. Abd-Alla and F. A. Alsheikh,” Reflection and Refraction of Plane Quasi-Longitudinal Waves at an Interface of Two Piezoelectric Media under Initial Stresses,” Archive of Applied Mechanics, Vol. 79, No. 9, 2009, pp. 843-857. HUdoi:10.1007/s00419-008-0257-yU

has been cited by the following article:

• TITLE: The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space

  AUTHORS: Fatimah A. Alshaikh

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

  JOURNAL NAME: Applied Mathematics, Vol.3 No.8, August 1, 2012

  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.