Electro–magneto interaction in a two-dimensional generalized thermoelastic solid cylinder

Sherief, Hany H.; Allam, Allam A.

doi:10.1007/s00707-017-1814-7

Cited by 10 publications

(2 citation statements)

References 28 publications

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“…Sadeghi and Kiani [5] have discussed and solution for Magneto generalized thermoelasticity of a layer via the Green-Lindsay and Lord-Shulman Green-Lindsay theories. Sharif and others [6][7][8][9][10] are presented a number of research papers as an application of Lord and Shulman's theory.…”

Section: Introductionmentioning

confidence: 99%

The Influence of a Non-local thermoelasticity with Diffusion under Hydrostatic Pressure

Khader,

Marrouf,

Esmail

et al. 2023

Preprint

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This article is demonstrating the diffusion theory of thermoelasticity on a two-dimensional half-space problem. The surface is exposed to thermal shocks and hydrostatic loads. Chemical potential must be a known time function. The solution is obtained with the direct method using Laplace's techniques and Fourier's exponential transform. Local and non-local thermoelasticity were discussed and the influence of the non-local parameter on the generalized theory of thermoelastic diffusion was investigated. Chemical potential, concentration temperature, stress, and displacement distributions are computed numerically and represented by graphical.

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Section: Introductionmentioning

confidence: 99%

The Influence of a Non-local thermoelasticity with Diffusion under Hydrostatic Pressure

Khader,

Marrouf,

Esmail

et al. 2023

Preprint

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“…Solutions of concrete problems are almost inexistant in the literature. Our attention was drawn lately to a recent publication concerning two-dimensional electro-magneto thermoelastic wave propagation in an electrically conducting cylinder, within the frame of extended thermodynamics with one relaxation time [14].…”

Section: Introductionmentioning

confidence: 99%

A One-dimensional Model of Thermo-electroelasticity in Extended Thermodynamics

Abou-Dina

Ghaleb

2018

SQU Journal for Science

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The subject of thermo-electroelasticity involves many complications due to the multiple ways in which the mechanical, thermal and electric fields can interact, some of these involving non-linearities. In extended thermodynamics, an additional difficulty arises due to the requirement of finiteness of the speed of propagation of the thermal disturbances. This implies, as may be observed in the extensive literature on the subject, a re-visiting of the basic postulates of thermodynamics, ultimately leading to the desired generalization. There are only a few nonlinear models dealing with this subject. In order to consider general nonlinear models, it is necessary to study linear ones first, as they represent most of the basic features of the studied phenomena. This is particularly true when the problem is tackled numerically through iteration methods, in which case the starting field equations are linear.Here we study a one-dimensional system of equations of thermo-electroelasticity in extended thermodynamics and in the quasi-electrostatic regime. The nonlinear equations are given for reference only. The mixed character, parabolic-hyperbolic, of the associated linear system is established through the study of the characteristic curves. Two speeds of wave propagation are given in evidence, one for the usual coupled thermoelastic wave, and the other for a second sound. Parabolicity is due to the quasi-static distribution of the electric field. An example concerning the half-space is treated numerically by the Cranck-Nicolson method. The curves presented clearly illustrate the propagation of two types of waves, the usual coupled thermoelastic wave, and a faster wave generated by the second sound. It is hoped that the present study will clarify the basic features of the solution, as a prelude to tackling more sample, nonlinear equations.

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Dynamic Response of Axisymmetric Functionally Graded Viscothermoelastic Hollow Cylinder Due to Heat Sources by Using Series Solution

Mittal

Sharma

2020

Lecture Notes in Mechanical Engineering

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Electro–magneto interaction in a two-dimensional generalized thermoelastic solid cylinder

Cited by 10 publications

References 28 publications

The Influence of a Non-local thermoelasticity with Diffusion under Hydrostatic Pressure

The Influence of a Non-local thermoelasticity with Diffusion under Hydrostatic Pressure

A One-dimensional Model of Thermo-electroelasticity in Extended Thermodynamics

Dynamic Response of Axisymmetric Functionally Graded Viscothermoelastic Hollow Cylinder Due to Heat Sources by Using Series Solution

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