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

Abstract

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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Category:
Articles
Type:
artykuły w czasopismach
Published in:
CONTINUUM MECHANICS AND THERMODYNAMICS no. 34, pages 1067 - 1085,
ISSN: 0935-1175
Language:
English
Publication year:
2021
Bibliographic description:
E. Abouelregal A., Sedighi H. M., H. Shirazi A., Malikan M., Eremeev V.: Computational analysis of an infinite magneto-thermoelastic solid periodically dispersed with varying heat flow based on non-local Moore–Gibson–Thompson approach// CONTINUUM MECHANICS AND THERMODYNAMICS -Vol. 34, (2021), s.1067-1085
DOI:
Digital Object Identifier (open in new tab) 10.1007/s00161-021-00998-1
Verified by:
Gdańsk University of Technology

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