Abstract
A novel mathematical model of thermoelastic of a homogenous isotropic solid cylindrical infinite medium has been constructed in this paper. Thermally shocked is the bounding surface of the cylinder. In the sense of the hyperbolic two-temperature generalized thermoelasticity with fractional stress theory, the governing equations have been taken. Different values of the fractional order and two-temperature parameters have shown numerical results for the dynamical and conductive temperature increment, strain, displacement, and average stress, which are graphically applicable to all the functions studied. The fractional-order parameter has significant effects on stress and displacement distributions, while it has little effect on the dynamical and conductive temperatures increment and significant effects on all studied functions as well as on the two-temperature parameter. The two-temperature hyperbolic model is precious and effective.
Highlights
Finding the best mathematical model that simulates the behavior of these materials close to experience is one of the key problems in materials and solid sciences
The mathematical model produces results that are completely consistent with experimental findings, and researchers in this area are primarily interested in the physical behavior of these compounds
Various mathematical models have been proposed by scientists and researchers to explain the propagation of mechanical waves and heat in solid and elastic materials
Summary
Finding the best mathematical model that simulates the behavior of these materials close to experience is one of the key problems in materials and solid sciences. Youssef and El-Bary have updated the model and have introduced a new two-temperature model based on different heat piping rules, known as hyperbolic, generalized 2-temperature thermoelasticity [9]. Youssef suggested in this model that the difference between the conductive temperature acceleration and the acceleration of the thermal temperature during the material transition is proportionate to the heater supply. The work under the purview of the theory of thermoelasticity with fraction order strain is based on hyperbolic two-temperature heat conduction laws. The main target of this work is to discuss and study the effects of the fractional-order strain parameter and hyperbolic two-temperature parameter on thermomechanical waves through a thermoelastic body
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