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Propagation of Waves Through Cylindrical Bore in a Cubic Micropolar Generalized Thermoelastic Medium
Authors:Rajneesh Kumar and Meenakshi Panchal
Affiliation:(1) Department of Natural and Applied Sciences, Al-Aflaj Community College, Al-Kharj University, Al-Aflaj, 710-11912, Saudi Arabia;(2) Department of Mathematics, Faculty of Science, Suez Canal University, Suez, Egypt
Abstract:
The article deals with the propagation of axial symmetric cylindrical surface waves in a cylindrical bore through a micropolar thermoelastic medium of infinite extent possessing cubic symmetry. The theories of generalized thermoelasticity developed by Lord and Shulman and Green and Lindsay are used to study the problem. The frequency equations, connecting the phase velocity with the wave number, radius of bore, and other material parameters for empty and liquid-filled bores are derived. Some special cases have been deduced. The numerical results obtained have been illustrated graphically to understand the behavior of the phase velocity and attenuation coefficient versus the wave number.
Keywords:
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