Journal ArticleDOI
A new insight into the interaction of thermoelasticity with mass diffusion for a half-space in the context of Moore–Gibson–Thompson thermodiffusion theory
TLDR
In this article, the authors developed a new model that demonstrates diffusion in thermoelastic solids and compared the strain/temperature fields and mass diffusion in a one-dimensional half-space problem.Abstract:
Thermal and mass diffusion processes are important issues in a variety of engineering applications and scientific disciplines. The main objective of this research is to develop a new model that demonstrates diffusion in thermoelastic solids and compares the strain/temperature fields and mass diffusion. The proposed model is an extension of the Quintanilla model [1]. In the new model, Fourier’s and Fick’s laws have been improved by including the relaxation times in the Green–Naghdi theory in the framework of Moore–Gibson–Thompson (MGT) heat equation. Based on the introduced model, a one-dimensional half-space problem is considered. The surface surrounding the half-space is exposed to chemical potential and thermal shocks. Our findings indicate that the considered physical fields have a non-zero value only in a limited area and disappear outside this area. This result fully demonstrates the validity of the proposed model because the nature of velocities is limited by heat and diffusive waves.read more
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Journal ArticleDOI
Dynamic characteristics of mixture unified gradient elastic nanobeams
TL;DR: In this paper , a mixture unified gradient theory of elasticity is invoked for the rigorous analysis of the dynamic characteristics of elastic nanobeams and a consistent variational framework is established and the boundary-value problem of dynamic equilibrium enriched with proper form of the extra non-standard boundary conditions is detected.
Journal ArticleDOI
Modeling photoexcited carrier interactions in a solid sphere of a semiconductor material based on the photothermal Moore–Gibson–Thompson model
TL;DR: In this paper, a modified photothermal model, in which the heat conduction is represented by the Moore-Gibson-Thompson (MGT) equation, is established by incorporating a relaxation parameter into the Green-Naghdi type III concept, which is used to investigate the interactions between plasma, thermal and elastic processes through a solid sphere of semiconductor material subject to a thermal shock in conjunction with an external magnetic field.
Journal ArticleDOI
Generalized thermoelastic responses in an infinite solid cylinder under the thermoelastic-diffusion model with four lags
TL;DR: In this article, a new and improved model of thermal diffusion has been introduced in which Fourier and Fick's laws are replaced by more general formulas, and the equations for heat conduction and mass diffusion in the proposed model are extended to incorporate higher-order time derivatives and four lag phases.
References
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Deep Learning
TL;DR: Deep learning as mentioned in this paper is a form of machine learning that enables computers to learn from experience and understand the world in terms of a hierarchy of concepts, and it is used in many applications such as natural language processing, speech recognition, computer vision, online recommendation systems, bioinformatics, and videogames.
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A generalized dynamical theory of thermoelasticity
TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
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Thermoelasticity and Irreversible Thermodynamics
TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Journal ArticleDOI
Thermoelasticity without energy dissipation
Albert Edward Green,P. M. Naghdi +1 more
TL;DR: In this article, a general uniqueness theorem for linear thermoelasticity without energy dissipation is proved and a constitutive equation for an entropy flux vector is determined by the same potential function which also determines the stress.
Journal ArticleDOI
On undamped heat waves in an elastic solid
Albert Edward Green,P. M. Naghdi +1 more
TL;DR: In this article, the authors focused on the thermal properties of the constitutive response functions in the context of both nonlinear and linear theories, and provided an easy comparison of the one-dimensional version of the equation for the determination of temperature in the linearized theory.