Response of frequency domain in generalized thermoelastic medium under modified Green‐Lindsay with non‐local and two temperature

Abstract

This paper introduces a novel model for a generalized thermoelastic medium with homogeneity and isotropy, by applying the Modified Green‐Lindsay (MG‐L) theory of thermoelasticity. The focus is on analysing the deformation due to time‐harmonic by considering the impact of non‐local and two‐temperature (TT) parameters. The governing equations are solved using dimensionless quantities and a potential function. To address the boundary value problem in the frequency domain, the Hankel transform is employed. Specific boundary conditions, such as a normal force or thermal source, are applied. Analytical expressions for components of displacement, stresses, conductive temperature, and temperature distribution are derived in the transformed domain A numerical inversion technique is utilised to translate the solution into the physical domain. The study delves into exploring the influence of non‐local and two‐temperature parameters, as well as different theories of thermoelasticity on stresses, temperature distribution and conductive temperature. These effects are visually represented through graphical illustrations. Additionally, special cases of interest are examined and discussed.