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314378

Normal Mode Analytic Solution for an Orthotropic Micropolar Thermoelastic Medium

Article

Last updated: 04 Jan 2025

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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.

DOI

10.21608/bfszu.2022.129366.1122

Keywords

Orthotropic micropolar thermoealstic solid, DPL, G-N II, G-L

Authors

First Name

mohammed

Last Name

El-Kady

MiddleName

-

Affiliation

zagazig university, faculty of science, maths department

Email

mohammed_adel84@yahoo.com

City

-

Orcid

-

First Name

wahed

Last Name

hasona

MiddleName

-

Affiliation

zagazig univeristy, faculty of science, maths department

Email

wahedhasona@yahoo.com

City

-

Orcid

-

Volume

2023

Article Issue

3

Related Issue

38870

Issue Date

2023-10-01

Receive Date

2022-03-27

Publish Date

2023-10-01

Page Start

127

Page End

135

Print ISSN

1110-1555

Link

https://bfszu.journals.ekb.eg/article_314378.html

Detail API

https://bfszu.journals.ekb.eg/service?article_code=314378

Order

13

Type

Original Article

Type Code

838

Publication Type

Journal

Publication Title

Bulletin of Faculty of Science, Zagazig University

Publication Link

https://bfszu.journals.ekb.eg/

MainTitle

Normal Mode Analytic Solution for an Orthotropic Micropolar Thermoelastic Medium

Details

Type

Article

Created At

24 Dec 2024