Thermomechanical interactions in nonlocal isotropic homogeneous diffusive solid

Parveen Lata , Belay Fikadu Gerba , Satya Bir Singh

Abstract

This study deals with a nonlocal isotropic thermoelastic solid with diffusion. Mathematical formulation of the problem has been prepared subjected to GN theory of type III. Laplace transform and Fourier transform have been used to solve the problem. The considered solid is under influence of thermomechanical sources. Numerical inversion techniques have been used to find the solution in physical domain. Effect of nonlocal parameter has been depicted on various field variables. Some particular cases have also been considered to validate the results. This research highlights the significant role of nonlocal parameters in understanding the thermomechanical interactions for future developments in material science and engineering.

Key Words

diffusion; fourier transformation; laplace transformation; nonlocal; thermoelastic; stress

Address

Parveen Lata, Satya Bir Singh — Department of Mathematics, Punjabi University, Patiala, 147002, India
Belay Fikadu Gerba — Department of Mathematics, Dambi Dollo University, Oromia, Ethiopia

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