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    Generalized thermoelastic responses in an infinite solid cylinder under the thermoelastic-diffusion model with four lags
    (Elsevier, 2022) Abouelregal, Ahmed E.; Ahmad, Hijaz; Yahya, Ahmed M.H.; Saidi, Anouar; Alfadil, Husam
    Understanding thermal diffusion through elastic materials is an important process that links the fields of temperature, strain, and mass diffusion. Certain mathematical and experimental models have been developed to explain this phenomenon, and defects flaws in the traditional theories have been discovered. In this context, a new and improved model of thermal diffusion has been introduced in which Fourier and Fick’s laws are replaced by more general formulas. The equa- tions for heat conduction and mass diffusion in the proposed model are extended to incorporate higher-order time derivatives and four lag phases. In special cases, some classical and generalized thermoelastic diffusion models may be obtained. The suggested model has been applied to investigate the thermoelastic diffusion processes in a solid cylinder caused by a possible thermal and chemical shock to its surface. The numerical findings of the thermodiffusion fields are shown and described graphically. The influence of the four-phase delay parameters on the various investigated fields has been compared between different models of thermal diffusion.
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    Thermoelastic behavior of an isotropic solid sphere under a non-uniform heat flow according to the MGT thermoelastic model
    (Taylor & Francis, 2022) Abouelregal, Ahmed E.; Saidi, Anouar; Mohammad-Sedighi, Hamid; Shirazi, Ali H.; Sofiyev, Abdullah H.
    Moore-Gibson-Thompson (MGT) is an equation which appropriately describes the spread of sound waves in gasses and fluids as well as thermal/mechanical waves in elastic bodies. The objective of this article is to theoretically analyze the generalized thermoelasticity models that have been presented as the development of the Fourier’s law dealing with the paradox of unlimited propagation velocities of thermal waves. For this purpose, a new model is presented which combines the third type of Green and Naghdi model (GN-III) with the generalized theory including the relaxation time based on the MGT equation. The proposed model may be considered as a generalization of previous thermoelastic theories. To examine the introduced approach, the behavior of thermoelastic waves within a homogeneous isotropic sphere in which its surface is exposed to thermal shock with varying heat source is investigated. The variations in different physical fields of a given substance have been computed by means of Laplace transform technique and an efficient numerical technique is implemented in Laplace inversion procedure. The effect of different forms of heat source are also examined and several comparisons for various thermoelasticity approaches are comprehensively conducted.