Computational analysis of an infinite magneto-thermoelastic solid periodically dispersed with varying heat flow based on non-local Moore–Gibson–Thompson approach

In this investigation, a computational analysis is conducted to study a magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium is subjected to a periodic heat flow in the presence of a continuous longitude magnetic field. Based on Moore–Gibson–Thompson equa...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics Vol. 34; no. 4; pp. 1067 - 1085
Main Authors: Abouelregal, Ahmed E., Mohammad-Sedighi, Hamid, Shirazi, Ali H., Malikan, Mohammad, Eremeyev, Victor A.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022
Springer
Springer Nature B.V
Subjects:
Algorithms
Analysis
Classical and Continuum Physics
Engineering Thermodynamics
Half spaces
Heat and Mass Transfer
Heat flow
Heat transfer
Heat transmission
Laplace transforms
Magnetic fields
Original Article
Physics
Physics and Astronomy
State space models
Structural Materials
Theoretical and Applied Mechanics
Thermoelasticity
Zakian’s computational algorithm
Non-local theory
Heat source
Moore–Gibson–Thompson thermoelasticity
State space approach
Half-space
ISSN:0935-1175, 1432-0959
Online Access:Get full text
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Summary:In this investigation, a computational analysis is conducted to study a magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium is subjected to a periodic heat flow in the presence of a continuous longitude magnetic field. Based on Moore–Gibson–Thompson equation, a new generalized model has been investigated to address the considered problem. The introduced model can be formulated by combining the Green–Naghdi Type III and Lord–Shulman models. Eringen’s non-local theory has also been applied to demonstrate the effect of thermoelastic materials which depends on small scale. Some special cases as well as previous thermoelasticity models are deduced from the presented approach. In the domain of the Laplace transform, the system of equations is expressed and the problem is solved using state space method. The converted physical expressions are numerically reversed by Zakian’s computational algorithm. The analysis indicates the significant influence on field variables of non-local modulus and magnetic field with larger values. Moreover, with the established literature, the numerical results are satisfactorily examined.
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ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-021-00998-1