Influence of rotation on micro-stretch thermoelastic medium with memory-dependent under three phase-lag model

Othman, Mohamed I. A.; Atwa, Sarhan; Eraki, Ebtesam E.M.; Ismail, Mohamed F.

doi:10.21608/bfszu.2023.200417.1265

Influence of rotation on micro-stretch thermoelastic medium with memory-dependent under three phase-lag model

Document Type : Original Article

Authors

¹ Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

² Department of Mathematics Engineering of Physics, Higher Institute of Engineering, Shorouk Academy

³ Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt.

10.21608/bfszu.2023.200417.1265

Abstract

This work is interested with the effect memory-dependent on a thermo-micro-stretch elastic solid under rotation, the medium is studied employing the theory of Green-Naghdi type III (G-N III) and the model of three-phase-lag (3PHL). The governing equations are formulated in the context of G-N III theory and the 3PHL model. Analytical solution to the problem is acquired by utilizing the normal mode method. The boundary conditions created at z = 0 and applying the boundary aspects discussed to acquire equations that are acceptable with the parameter. Five equations are created as a result. We find the constant values of the solutions by applying the inverse matrix method to the five equations. The magnesium crystal element is utilized as an example to describe the observations of the G-N III theory influenced by rotation on microstretch thermoelastic with those of the 3PHL model. Rotation has been shown to have a significant impact on all physical quantities

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