Fiber-reinforced micropolar thermoelastic rotating Solid with voids and two-temperature in the context of memory-dependent derivative

Amnah M. Alharbi , Samia M. Said , Elsayed M. Abd-Elaziz , Mohamed I.A. Othman

Abstract

The main concern of this article is to discuss the problem of a two-temperature fiber-reinforced micropolar thermoelastic medium with voids under the effect rotation, mechanical force in the context four different theories with memory-dependent derivative (MDD) and variable thermal conductivity. The three-phase-lag model (3PHL), dual-phase-lag model (DPL), Green-Naghdi theory (G-N II, G-N III), coupled theory, and the Lord˗Shulman theory (L-S) are employed to solve the present problem. Analytical expressions of the physical quantities are obtained by using Laplace-Fourier transforms technique. Numerical results are shown graphically and the results obtained are analyzed. The most significant points are highlighted.

Key Words

derivative; dual-phase-lag model; Laplace and Fourier transforms; memory-dependent rotation; three-phase-lag mode

Address

Amnah M. Alharbi — Department of Mathematics, College of Science, Taif Univeristy, P.O. Box 11099, Taif, 21944, Saudi Arabia
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 — Department of Basic Scineces, Zagazig Higher Institute of Eng. and Tech., Zagazig, Egypt

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