El-Kady, M., hasona, W. (2023). Normal Mode Analytic Solution for an Orthotropic Micropolar Thermoelastic Medium. Bulletin of Faculty of Science, Zagazig University, 2023(3), 127-135. doi: 10.21608/bfszu.2022.129366.1122
mohammed El-Kady; wahed hasona. "Normal Mode Analytic Solution for an Orthotropic Micropolar Thermoelastic Medium". Bulletin of Faculty of Science, Zagazig University, 2023, 3, 2023, 127-135. doi: 10.21608/bfszu.2022.129366.1122
El-Kady, M., hasona, W. (2023). 'Normal Mode Analytic Solution for an Orthotropic Micropolar Thermoelastic Medium', Bulletin of Faculty of Science, Zagazig University, 2023(3), pp. 127-135. doi: 10.21608/bfszu.2022.129366.1122
El-Kady, M., hasona, W. Normal Mode Analytic Solution for an Orthotropic Micropolar Thermoelastic Medium. Bulletin of Faculty of Science, Zagazig University, 2023; 2023(3): 127-135. doi: 10.21608/bfszu.2022.129366.1122
Normal Mode Analytic Solution for an Orthotropic Micropolar Thermoelastic Medium
1zagazig university, faculty of science, maths department
2zagazig univeristy, faculty of science, maths department
Abstract
The purpose of the present paper is to introduce the analytical solution for an orthotropic micropolar thermoelastic medium using three different theories Dual Phase Lag (DPL), Green & Lindsay (G-L) and Green Naghdi type II (G-N II). The heat equation, equation of motion and micro-rotaton couple stress equation gives a system of partial differential equations. Normal mode analysis method is used to convert the system of partial differential equations into a system of ordinary differential equations to get the analytical solution and expressions for displacements, temperature and stresses. The main conclusion in this paper state that displacements, stress and micropoar theory affected by the mechanical load which agree with the physical observations that any change in temperature will lead to change in physical quantites and shows that the phenomena of infinite speed doesn't exist. Numerical results are graphed, comparisons are carried out in the light of theories (DPL) model, (G-L) theory and (G-N II) theory. Micropolar theory has wide applications in industry applications and geophysics.
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