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In this manuscript, a two-dimensional axi-symmetric problem within a thermoelastic medium featuring fractional order derivatives, focusing on the Moore-Gibson-Thompson heat equation (MGT) in response to mechanical loading is investigated. The study assesses the problem's applicability under the influence of hyperbolic two temperature (HTT) and the non-local parameter resulting from ring and disc loads. The governing equations are rendered dimensionless, simplified through the introduction of potential functions, and solved using Laplace and Hankel transforms. Analytical expressions for displacement, stresses, conductive temperature, and temperature distribution components are derived in the transformed domain. Numerical inversion techniques are employed to obtain solutions in the physical domain. The purpose of the manuscript is to analyze the effects of non-local parameters, HTT, and various thermoelasticity theories graphically on resulting stresses, conductive temperature, and temperature distributions. It is observed that the behavior of composite materials under mechanical loading is effected by non-local and HTT. It will provide information about the different constituents of a composite material respond to temperature changes and mechanical stresses, which is crucial for designing and optimizing composite structures. Additionally, specific cases of interest are deduced from the findings of this investigation. [ABSTRACT FROM AUTHOR]

The present paper deals with the propagation of waves in non-local couple stress microploar thermoelastic solid half space lying under an inviscid liquid layer. We found two sets of coupled longitudinal waves and coupled transverse waves which are dispersive in nature and associated with attenuation. In addition to coupled waves, there also exists one independent longitudinal microroational wave which is dispersive in nature. Two types of waves namely coupled longitudinal waves and coupled transverse waves incident at the common interface. The value of various reflection coefficients and their energy ratios are calculated in both cases against the angle of incidence for a specific model. It is found that all reflection coefficients and energy ratios are affected by presence of non-locality, couple stress and angle of incidence. Their impact on various coefficients and energy ratios are studied numerically and depicted graphically. Some special cases are also deduced from the present investigation. The seismic reflection techniques are of great utility in determining the seismic structure of the earth and oceanic crust. Not only this, current findings may also be helpful in forecasting geophysical parameters at greater depths through signal processing, non-destructive testing and seismic data analysis. [ABSTRACT FROM AUTHOR]

We have discussed reflection and refraction phenomenon of wave propagation from a plane interface dividing the non-local couple stress micropolar thermoelastic medium into two half-spaces. we have examined the problem by making incidence of two sets of coupled longitudinal waves and two sets of coupled transverse waves. Here, we observed that there exist five waves, viz., two sets of coupled longitudinal waves, two sets of coupled transverse waves and a longitudinal microrotational wave in non-local couple stress thermoelastic micropolar solid. One of them is propagating independently while others are set of coupled waves. We have also observed that these waves are propagating with different speeds. By making incidence of different waves; the reflection and refraction coefficients of numerous waves against the angle of incidence and angular frequency has been evaluated and portrayed graphically. [ABSTRACT FROM AUTHOR]

A new mathematical model of modified couple stress thermoelastic (MCT) diffusion is constructed where non-local and dual-phase-lag effects are considered. These impacts are analyzed due to thermomechanical loading. Governing equations are simplified by using Laplace and Fourier transform techniques. Normal and thermal loading of ramp-type are taken into account to demonstrate the application. Numerical results are calculated for displacements, stresses, temperature change and chemical potential and are disucussed by displaying graphically. Particular cases are also deduced. [ABSTRACT FROM AUTHOR]