Reflection From Free Surface of a Rotating Generalized Thermo-Piezoelectric Solid Half Space

Journal of Solid Mechanics

مقاله 4، دوره 10، شماره 1، خرداد 2018، صفحه 57-66   

نوع مقاله: Research Paper

نویسندگان

Baljeet Singh^{* 1}؛ B Singh²

¹Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh, 160011,India

²Department of Applied Sciences, Rayat Bahra Institute of Engineering and Nano Technology, Hoshiarpur, 146001, Punjab, India

چکیده

The analysis of rotational effect on the characteristics of plane waves propagating in a half space of generalized thermo-piezoelectric medium is presented in context of linear theory of thermo-piezoelectricity including Coriolis and centrifugal forces. The governing equations for a rotating generalized thermo-piezoelectric medium are formulated and solved for plane wave solutions to show the propagation of three quasi plane waves in the medium. A problem on the reflection of these plane waves is considered from a thermally insulated/isothermal boundary of a rotating generalized thermo-piezoelectric solid half space. The expressions for reflection coefficients of three reflected waves are obtained in explicit from. For experimental data of LiNbO₃ and BaTiO₃, the speeds of various plane waves are computed. The reflection coefficients of various reflected waves are also obtained numerically by using the data of BaTiO₃. The dependence of speeds of plane waves and reflection coefficients of various reflected waves is shown graphically on the rotation parameter at each angle of incidence. 

کلیدواژه‌ها

Thermo-piezoelectric؛ Plane waves؛ Reflection؛ Rotation؛ Reflection coefficients

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