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IssuesArchive of Issues2023-4pp.1335-1350

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Vikas Sharma and Satish Kumar, "A Study of Plane and Rayleigh Waves in a Microstructural Medium: the Role of Size Dependency and Thermal Effects," Mech. Solids. 58 (4), 1335-1350 (2023)
Year 2023 Volume 58 Number 4 Pages 1335-1350
DOI 10.3103/S0025654423600599
Title A Study of Plane and Rayleigh Waves in a Microstructural Medium: the Role of Size Dependency and Thermal Effects
Author(s) Vikas Sharma (Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India, vikas.sharma@lpu.co.in, vikassharma10a@yahoo.co.in)
Satish Kumar (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India)
Abstract Size-dependent couple stress thermoelasticity (CCSTE) is a theoretical framework that extends classical coupled thermoelasticity (CTE) to include microstructural impacts using a length scale parameter into its formulations. In this theory, materials are considered as continua with internal microstructures, and a new material parameter known as characteristic length parameter (l) is introduced to apprehend the significance of size effects. It is postulated that length scale parameter (l) is comparable in magnitude to the internal microstructures of the material. The current study utilizes CCSTE theory to examine the role of size dependency and thermal parameters on Rayleigh and Plane waves propagation in a microstructural thermoelastic medium. The mathematical formulations of CCSTE theory have been utilized to analytically derive secular equations for Plane and Rayleigh waves propagation using some suitable boundary conditions. Graphical representations have been provided to have an insight of impacts of characteristic length and thermal parameters on the propagation of Plane and Rayleigh waves.
Keywords size-dependent thermoelasticity, rayleigh waves, plane waves, characteristic length, couple stress theory
Received 08 April 2023Revised 05 June 2023Accepted 07 June 2023
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