Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Abstract

PurposeThe purpose of this paper is to analyse the transient effects in a functionally graded photo-thermoelastic (TE) medium with gravity and rotation by considering two generalised TE theories: Lord–Shulman (LS) and Green–Lindsay (GL). The governing equations are derived in rectangular Cartesian coordinates for a two dimensional problem.Design/methodology/approachAll the physical properties of the semiconductor are supposed to vary exponentially with distance. The analytical solution is procured by employing normal mode technique on the resulting non-dimensional coupled field equations with appropriate boundary conditions.FindingsFor the mechanically loaded thermally insulated surface, normal displacement, stress components, temperature distribution and carrier density are calculated numerically with the help of MATLAB software for a silicon semiconductor and displayed graphically. Some particular cases of interest have also been deduced from the present results.Originality/valueThe effects of rotation and non-homogeneity on the different physical fields are investigated on the basis of analytical and numerical results. Comparisons are made with the results predicted by GL theory in the presence and absence of gravity for different values of time. Comparisons are also made between the three theories in the presence of rotation, gravity and in-homogeneity. Such problems are very important in many dynamical systems.

Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

“…Now, in terms of nondimensional quantities defined in Equation ( 40) and using the Helmholtz decomposition defined in Equations ( 41) and ( 42), the stress components and the components of first heat flux moment vector expressed in Equations ( 27)- (32), take the form:…”

“…Youssef and El Bary [31] studied the photothermal interactions in a semiconducting solid sphere under the purview of G-N theories. Sheoran et al [32] analysed the transient effects in a functionally graded photo-thermoelastic medium under the consideration of L-S and G-L theories. Khamis et al [33] studied the deformations in a semiconductor medium with microtemperatures and electromagnetic Hall current under the effect of variable thermal conductivity.…”

“…Sheoran et al. [32] analysed the transient effects in a functionally graded photo‐thermoelastic medium under the consideration of L‐S and G‐L theories. Khamis et al.…”

Propagation of plane waves at the initially stressed surface of an orthotropic nonlocal rotating half space under dual-phase-lag model

“…Said (2022) studied thermo-mechanical interactions in a non-local thermoelastic medium with rotation and memory-dependent derivatives. Sheoran et al. (2023) examined the transient impacts of rotation and gravity in a non-homogeneous photo-thermoelastic medium.…”

Thermal-optical mechanical waves of the microelongated semiconductor medium with fractional order heat time derivatives in a rotational field

“…Sheoran et al 18 – 20 studied the wave propagation according to thermo-mechanical disturbances in a 2D initially stressed with temperature dependent in a rotating thermo-diffusive medium with two-temperature. On the other hand, some applications for a thermodynamical nonlocal micropolar semiconductor media are investigated according to functionally graded properties 21 , 22 .…”