Nonlocal thermodynamical vibrations in a rotating magneto-thermoelastic medium based on modified Ohm's law with temperature-dependent properties
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 3 November 2022
Issue publication date: 14 November 2022
Abstract
Purpose
The purpose of this paper is to study the transient thermoelastic interactions in a nonlocal rotating magneto-thermoelastic medium with temperature-dependent properties. Three-phase-lag (TPL) model of generalized thermoelasticity is employed to study the problem. An initial magnetic field with constant intensity acts parallel to the bounding plane. Therefore, Maxwell's theory of electrodynamics has been effectively introduced and the expression for Lorentz's force is obtained with the help of modified Ohm's law.
Design/methodology/approach
The normal mode technique has been adopted to solve the resulting non-dimensional coupled field equations to obtain the expressions of physical field variables.
Findings
For uniformly distributed thermal load, normal displacement, temperature distribution and stress components are calculated numerically with the help of MATLAB software for a copper material and the results are illustrated graphically. Some particular cases of interest are also deduced from the present study.
Originality/value
Influences of nonlocal parameter, rotation, temperature-dependent properties, magnetic field and time are carefully analyzed for mechanically stress free boundary and uniformly distributed thermal load. The present work is useful and valuable for analysis of problem involving thermal shock, nonlocal parameter, temperature-dependent elastic and thermal moduli.
Keywords
Acknowledgements
One of the authors, Shilpa Chaudhary is thankful to the Council of Scientific & Industrial Research (CSIR), New Delhi for the financial support vide letter no. 09/752(0080)/2018-EMR-I. The authors are also thankful to the Department of Science and Technology, New Delhi for providing financial assistance through Grant no. SR/FST/MS-1/2017/4/2017 to the Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar.
Citation
Sheoran, S.S., Chaudhary, S. and Kalkal, K.K. (2022), "Nonlocal thermodynamical vibrations in a rotating magneto-thermoelastic medium based on modified Ohm's law with temperature-dependent properties", Multidiscipline Modeling in Materials and Structures, Vol. 18 No. 6, pp. 1087-1112. https://doi.org/10.1108/MMMS-05-2022-0089
Publisher
:Emerald Publishing Limited
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