General generalized thermoelasticity theory (GGTT)

The major goal of this research is to establish a new theory of generalized thermoelasticity for thermomass gas flow with low velocity and linear resistance based on the general non-Fourier law of heat conduction. The resistance effect has been included in the general heat conduction equation, which is based on the total derivative of the thermomass gas velocity. Using the governing equations of that unique model, two numerical applications of homogeneous, isotropic, and thermoelastic one-dimensional rods have been constructed. The two applications were solved using the Laplace transform and numerical inversion methods. In terms of thermal and mechanical wave distributions, the latest findings illustrate the contrasts between the Lord-Shulman model and the present revolutionary thermoelasticity model. The parameters of the current general non-Fourier equation of heat conduction have a major impact on thermomechanical waves.

Automated summary

The research aims to establish a new theory of generalized thermoelasticity for thermomass gas flow with low velocity and linear resistance based on the general non-Fourier law of heat conduction. The resistance effect has been included in the general heat conduction equation, which is based on the total derivative of the thermomass gas velocity. Two numerical applications of homogeneous, isotropic, and thermoelastic one-dimensional rods were solved using the Laplace transform and numerical inversion methods. The latest findings illustrate the contrasts between the Lord-Shulman model and the present revolutionary thermoelasticity model in terms of thermal and mechanical wave distributions.