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Journal of Applied Mathematics and Computation

DOI：http://dx.doi.org/10.26855/jamc.2023.03.001

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The Effect of Rotation on Thermoelastic Microelongated Medium under DPL Model

Mohamed I. A. Othman1,*, Sarhan Y. Atwa2, E. E. M. Eraki1, Mohamed F. Ismail2

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

2Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk Academy, P.O. Box 11837, Egypt.

*Corresponding author: Mohamed I. A. Othman

Date: February 13,2023　Hits: 265

Abstract

The effect of rotation on a two-dimensional micro-elongated thermoelastic medium problem was studied under the dual-phase-lag (DPL) model. Mechanical force along with the layer of the elastic half-space interface and micro-elongated thermoelastic half-space is applied. The analytical method used was the normal mode which Partial differential equations transform into ordinary differential equations. The analytic expressions for displacement component, temperature distribution, micro-elongational scalar and stress components have been derived and represented graphically. The work in its present form has not been studied by any researcher till now. The novelty of the present article resides in the fact that we have proposed a new research problem to study the effect of rotation on the physical quantities in the context of the Lord-Shulman theory and the DPL model. The problem is pretty important in many dynamical systems.

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The Effect of Rotation on Thermoelastic Microelongated Medium under DPL Model

How to cite this paper:  Mohamed I. A. Othman, Sarhan Y. Atwa, E. E. M. Eraki, Mohamed F. Ismail. (2023) The Effect of Rotation on Thermoelastic Microelongated Medium under DPL Model. Journal of Applied Mathematics and Computation, 7(1), 1-14.

DOI: http://dx.doi.org/10.26855/jamc.2023.03.001