Thermo‐mechanical interactions in a rotating nonlocal functionally graded transversely isotropic elastic half‐space

Abstract

The current research work deals with the analysis of disturbances induced in a rotating, nonlocal, functionally graded (nonhomogeneous), transversely isotropic thermoelastic half-space due to the application of a mechanical load in the context of Lord-Shulman theory. Material properties are assumed to be graded along 𝑧-direction and the normal mode analysis is used to obtain the exact expressions of the normal displacement, stress components, and temperature field. The profiles of field variables are computed numerically and limned graphically. The graphical results indicate that the nonlocal parameter, material's anisotropy, nonhomogeneity parameter, rotation parameter, and time have significant effects on all the physical fields. Certain particular cases of interest have also been deduced from the current investigation.

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

“…When the stress components from Equations ( 18) to ( 20) are inserted into the equation of motion (14) in light of restriction (17), one can obtain…”

“…To discuss the problem in a nonlocal transversely isotropic exponentially graded thermoelastic medium without voids in the context of DPL theory, it is sufficient to set the values of parameters in basic equations as $$D_{ijk}=b_{ij}=A_{ij}=f_{i}=a_{i}=\xi =m=0$$. Along with these modification, if we impose mechanical load instead of thermal load on the boundary, then the results obtained match with the limiting case (without rotation) of Barak and Dhankhar [17].…”

“…Barak and Dhankhar [16] solved a problem on thermoelastic interactions in a fiber‐reinforced exponentially graded thermoelastic material with temperature dependent properties. Recently, Barak and Dhankhar [17] analyzed the disturbances induced in a rotating transversely isotropic nonlocal exponentially graded thermoelastic half‐space in the context of LS theory.…”

Propagation of plane waves in a nonlocal transversely isotropic thermoelastic medium with voids and rotation

“…Singh [19] investigated the reflection of plane wave propagation in a transversely isotropic thermoelastic medium with an initially presented stress. In recent years, some of the important contributions to the investigation in transversely isotropic medium are the existing research works by Biswas [20], Sheoran et al [21] and Barak and Dhankhar [22].…”

“…In recent years, some of the important contributions to the investigation in transversely isotropic medium are the existing research works by Biswas [20], Sheoran et al. [21] and Barak and Dhankhar [22].…”