Conference Proceeding

Mathematics in Space and Applied Sciences (ICMSAS-2023)
ICMSAS-2023

Subject Area: Mathematics
Pages: 331
Published On: 03-Mar-2023
Online Since: 04-Mar-2023

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Author(s): Sanjeev Kumar, Virender Singh

Email(s): sanjeevrananit@gmail.com , rana.vr4@gmail.com

Address: Dr Sanjeev Kumar, Virender Singh Departmentof Mathematics, Govt. College Dharamshala, H.P Department of Mathematics Govt. College Khundian, HP
*Corresponding Author

Published In:   Conference Proceeding, Mathematics in Space and Applied Sciences (ICMSAS-2023)

Year of Publication:  March, 2023

Online since:  March 04, 2023

DOI: Not Available

ABSTRACT:
The present investigations are concerned wave motion in an infinite homogenous isotropic thermoelastic stress free, thermally insulated plate in the context of Green and Naghdi (GN) theory of thermoelasticity by asymptotic method. The governing equations for the extensional, transversal and flexural motion are derived from the system of three-dimensional dynamical equations of linear theory of thermoelasticity. All coefficients of the differential operator are obtained and found to be explicit functions of the material parameters. The velocity dispersion and frequency equations for the extensional and flexural wave motions are deduced from the three-dimensional analog of Rayleigh–Lamb frequency equation. The asymptotic differential equations and group velocity expression in terms of phase velocity as well as frequency for flexural wave motions are also derived. The secular equations have also been derived for long and short wavelengths. The dispersion curves for phase and group velocity of various flexural wave modes are shown graphically for aluminum-epoxy material thermoelastic plates.


Cite this article:
Sanjeev Kumar, Virender Singh. Analysis of Homogenous Isotropic Plate Waves without Energy Dissipation Byasymptotic Method. Proceedings of 2nd International Conference on Mathematics in Space and Applied Sciences. 2023;1:217-228.


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Author/Editor Information

Dr. Sanjay Kango

Department of Mathematics, Neta Ji Subhash Chander Bose Memorial, Government Post Graduate College, Hamirpur Himachal Pradesh-177 005, INDIA