Plane Wave Problem in a Generalized Thermo-elastic Solid in the Presence of Voids

B Venkateswara Rao; K Somaiah; A Ravi Kumar; K Narasimharao

doi:10.17485/IJST/v16i19.196

Article

Plane Wave Problem in a Generalized Thermo-elastic Solid in the Presence of Voids

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i19.196

Year: 2023, Volume: 16, Issue: 19, Pages: 1422-1430

Original Article

Plane Wave Problem in a Generalized Thermo-elastic Solid in the Presence of Voids

B Venkateswara Rao^1*, K Somaiah², A Ravi Kumar³, K Narasimharao⁴

¹Department of Mathematics, SR & BGNR Government Arts & Science College (A), Khammam, 507003, Telangana
²Department of Mathematics, Kakatiya University, Warangal, 506009, Telangana, India
³Department of Mathematics, Satavahana University, Karimnagar, 505002, Telangana, India
⁴Department of Mathematics, Government Degree College for Women, Khammam, 507003, Telangana

*Corresponding Author
Email: [email protected]

Received Date:27 January 2023, Accepted Date:11 April 2023, Published Date:12 May 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: To investigate the effect of voids on the propagation of plane waves in a generalized thermo-elastic solid. Method: The method of plane harmonic solution is employed to solve the basic equations of generalized thermo-elastic void solids. Findings: Under the effect of voids and non-voids, three sets of longitudinal waves are derived, and they are not appeared in any classical theory of elasticity. But one transverse wave is derived and these results are coinciding with the theory of classical elasticity. Novelty: Under the MATLAB programme the speed of longitudinal waves are shown in the frequency relation. Longitudinal waves are propagating with high speed in nonthermal voids solids.

Keywords: Thermoelasticity; Voids; Plane Harmonic Solution; Plane Longitudinal Waves; Plane Transverse Waves

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Copyright

© 2023 Rao et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)