Iqbal Kaur

Our research aims to obtain generalized micropolar thermoelasticity based on higher-order memory-dependent derivatives. The study was conducted on an axisy

A new mathematical-physical model is presented to model moisture and thermal diffusivity in semiconducting solid cylinder in the context of the Moore–

In this study, the identification of thermoelastic mass diffusion was examined on a homogeneous isotropic microstretch thermoelastic diffusion (HIMTD) solid due to normal force on the surface of half space. In the framework of Cartesian symmetry, the components of displacement, stresses, temperature change, and microstretch as well as couple stress were investigated with and without microstretch and diffusion. The expression of the field functions was obtained using the Laplace and Fourier transforms. So as to estimate the nature of the components of displacement, stresses, temperature change, and microstretch as well as couple stress in the physical domain, an efficient approximate numerical inverse Laplace and Fourier transform technique and Romberg’s integration technique was adopted. It was meticulously considered and graphically illustrated how mass diffusion and microstretch affect thermoelastic deformation. Our objective was to address the inquiry regarding the impact of thermoelastic mass diffusion and microstretch on the field functions in the presence of a mass concentration source within the medium. Specifically, we aimed to investigate how these phenomena amplify the aforementioned effect.

Based on the modified Moore–Gibson–Thompson (MGT) model, transversely isotropic visco-thermoelastic material is investigated for frequency shift and thermoelastic damping. The Green–Naghdi (GN) III theory of thermoelasticity with two temperatures is used to express the equations that govern heat conduction in deformable bodies based on the difference between conductive and dynamic temperature acceleration. A mathematical model for a simply supported scale beam is formed in a closed form using Euler Bernoulli (EB) beam theory. We have figured out the lateral deflection, conductive temperature, frequency shift, and thermoelastic damping. To calculate the numerical values of various physical quantities, a MATLAB program has been developed. Graphical representations of the memory-dependent derivative’s influence have been made.

The goal of this study is to examine the photo-thermoelastic interactions in an infinite semiconducting solid cylinder with rotation subjected to an expone

A new model for the simulation of moisture and thermal diffusivity in a semiconducting solid cylinder according to the Moore-Gibson-Thompson-Photo-Thermal (MGTPT) equation with two-temperature (Conducive and Thermodynamic temperature) theory of thermoelasticity has recently been presented. The purpose of this study is to investigate the photo-thermoelasticity of an infinite semiconducting solid cylinder rotating with the boundary surface being subjected to a laser pulse with a variable heat flux. For this purpose, the mathematical model is solved by using the Laplace transform technique in the transformed domain. The numerical inversion of the mathematical model yields all the physical parameters in the physical domain, such as displacement components, conductive temperatures, thermal stresses, and carrier densities. In order to clearly illustrate the effects of reference moisture with two temperatures, a graphic representation of all these parameters is generated by using the MATLAB software. The results of this study will be useful in further enhancing the behavior of semiconductors under these dynamic loading conditions and in hence, improve their performance in various applications. Thus, the model provides an effective way to model the moisture and thermal diffusivities of the solid cylinder in order to better understand phenomena occurring in a broad range of semiconductor devices and more effectively design them.

The present paper examines the plane wave’s reflection in a semiconducting magneto-thermoelastic rotating nonlocal half-space medium, which is stress-free, thermally insulated, and with a diffusion transport process at the boundaries. The novel mathematical model of extended three-phase-lag (TPL) heat transfer law with memory-dependent derivative (MDD) and two temperatures (2T) is used to model this problem. The investigated 2D model shows that a longitudinal wave, when striking the surface z = 0, produces four reflected waves. The characteristics of the plane wave such as phase velocity, amplitude ratios, penetration depth, attenuation-coefficients-specific loss, and energy ratios of various reflected waves are obtained. The symmetric and asymmetric tensor representations of all physical quantities are used. The effects of various theories of thermoelasticity, two temperatures, and rotation on wave characteristics are illustrated graphically using MATLAB software.

The In this paper, we study the forced flexural vibrations caused by time-harmonic concentrated loads on a transversely isotropic thin rectangular plate (T