Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

Ibrahim Abbas, Aatef Hobiny, Sorin Vlase and Marin Marin
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Ibrahim Abbas: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Aatef Hobiny: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Sorin Vlase: Department of Mechanical Engineering, Transilvania University of Brasov, 500036 Brasov, Romania
Marin Marin: Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania

Mathematics, 2022, vol. 10, issue 13, 1-10

Abstract: In the current article, the nonlocal thermoelastic theory is used to discuss the wave propagation in unbounded thermoelastic materials. Due to the inclusion of relaxation time in thermal conduction formulation and the equations of motion, this model was developed using Lord and Shulman’s generalized thermoelastic model. The theory of the nonlocal continuum proposed by Eringen is used to obtain this model. The integral transforms of the Laplace transform methods used to generate an analytical solution for physical variables are utilized to produce the analytical solutions for the thermal stress, displacement, and temperature distribution. The effects of nonlocal parameters and relaxation time on the wave propagation distributions of physical fields for material are visually shown and explored.

Keywords: nonlocal thermo-elastic model; Laplace transform; thermal relaxation time; eigenvalue approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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