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Electromagnetic Field and Three-Phase-Lag in a Compressed Rotating Isotropic Homogeneous Micropolar Thermo-Viscoelastic Half-Space
  • S.M. Abo-Dahab,
  • A. Abd-Alla,
  • araby kilany
S.M. Abo-Dahab
1Math. Dept., Faculty of Science, South Valley University, Qena 83523, Egypt
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A. Abd-Alla
Faculty of Science, Taif University 888, Saudi Arabia
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araby kilany
Sohag University
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Abstract

A unified mathematical model of three-phase-lag in a compressed rotating isotropic homogeneous micropolar thermo-viscoelastic medium based on a ramp type thermal shock is developed. An application of this model is carried out to resolve the problem of a perfectly conducting half-space subjected to certain boundary conditions in the presence of an electromagnetic field. Lame's potentials and normal mode analysis techniques are employed to get the general analytical solutions. Specific attention is paid to explore the impact of the rotation, magnetic field, ramp time, as well as initial stress on the distributions of temperature, displacement, stress, and induced electric and magnetic distribution. The findings show that the impact of the rotation, magnetic field, viscous, ramp parameter, initial stress, and phase-lag on the micropolar thermo-viscoelastic medium is noticeable.

Peer review status:ACCEPTED

10 Nov 2020Submitted to Mathematical Methods in the Applied Sciences
19 Nov 2020Submission Checks Completed
19 Nov 2020Assigned to Editor
20 Nov 2020Reviewer(s) Assigned
23 Jan 2021Review(s) Completed, Editorial Evaluation Pending
23 Jan 2021Editorial Decision: Revise Minor
31 Jan 20211st Revision Received
01 Feb 2021Submission Checks Completed
01 Feb 2021Assigned to Editor
01 Feb 2021Editorial Decision: Accept