Rayleigh waves in nonlocal orthotropic thermoelastic medium with diffusion

Author:

Mallick Abhishek1,Biswas Siddhartha1ORCID

Affiliation:

1. Department of Mathematics University of North Bengal Darjeeling India

Abstract

AbstractThis study examines Rayleigh wave propagation dynamics in a nonlocal orthotropic medium with thermoelastic diffusion, utilizing Eringen's nonlocal elasticity theory and the Lord–Shulman hyperbolic thermoelasticity model. Normal mode analysis is used to solve the problem, deriving the frequency equation for Rayleigh waves and analyzing specific cases. The elliptical path of surface particles and its eccentricity are calculated. Graphs illustrate the relationships of propagation speed, attenuation coefficient, penetration depth, and specific loss of Rayleigh waves concerning wave number for both thermally insulated and isothermal surfaces. The results reveal that the presence of nonlocal parameters and diffusion significantly increases the values of physical variables, especially with higher wave numbers, highlighting their considerable impact on the system's dynamics.

Funder

University Grants Commission

Publisher

Wiley

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