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Steel and Composite Structures
  Volume 36, Number 6, September25 2020, pages 617-629
DOI: http://dx.doi.org/10.12989/scs.2020.36.6.617
 


Modeling of memory-dependent derivative in a rotating magneto-thermoelastic diffusive medium with variable thermal conductivity
Samia M. Said, Elsayed M. Abd-Elaziz and Mohamed I.A. Othman

 
Abstract
    The purpose of this paper is to depict the effect of rotation and initial stress on a magneto-thermoelastic medium with diffusion. The problem discussed within memory-dependent derivative in the context of the three-phase-lag model (3PHL), Green-Naghdi theory of type III (G-N III) and Lord and Shulman theory (L-S). Analytical expressions of the considered variables are obtained by using Laplace-Fourier transforms technique. Numerical results for the field quantities given in the physical domain and illustrated graphically in the absence and presence of a magnetic field, initial stress as well as the rotation. The differences in variable thermal conductivity are also presented at different parameter of thermal conductivity. The numerical results of the field variables are presented graphically to discuss the effect of various parameters of interest. Some special cases are also deduced from the present investigation.
 
Key Words
    diffusion; rotation; initial stress; variable thermal conductivity; memory-dependent derivative
 
Address
Samia M. Said and Mohamed I.A. Othman: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Elsayed M. Abd-Elaziz: Ministry of Higher Education, Zagazig Higher Institute of Eng. & Tech., Zagazig, Egypt
 

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