Effect of rotation and thermal relaxation on Rayleigh waves in piezothermoelastic half space |
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Authors: | J.N. Sharma Vishal Walia S K Gupta |
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Affiliation: | aDepartment of Applied Sciences, National Institute of Technology, Hamirpur–177005 India;bDepartment of Mathematics, Himachal Pradesh University, Shimla 171005 India |
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Abstract: | The present paper represents an analysis of Rayleigh surface waves in a homogeneous, transversely isotropic, generalized piezothermoelastic half-space rotating with uniform angular velocity about normal to its boundary and subjected to stress free, electrically shorted/charge free and thermally insulated/isothermal boundary conditions. The secular equations for stress free, generalized piezothermoelastic half-space in closed form and isolated mathematical conditions are derived. The characteristics of surface waves propagating in generalized piezothermoelastic solid half-space and their dependence upon various geometric and physical parameters have been investigated. Finally, in order to illustrate and compare the theoretical results, numerical solution of various secular equations and other relevant relations are derived for cadmium selenide (6 mm) class material by adopting functional iteration scheme after employing Descartes’ algorithm to compute the characteristic roots of coupled differential equation system. The corresponding simulated results of various physical quantities such as phase velocity, attenuation, specific loss, frequency shifts and electromechanical coupling have been presented graphically for rotation and non-rotation cases. The study will be useful in design and construction of gyroscope, rotation sensors, temperature sensors and other pyro/piezoelectric SAW devices. |
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Keywords: | Piezothermoelasticity Electrically shorted Rotation Surface waves Thermal relaxation |
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