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Fibre-Reinforced Generalized Anisotropic Thick Plate with Initial Stress under the Influence of Fractional Thermoelasticity Theory

Part of: Equilibrium (steady-state) problems Thin bodies, structures

Published online by Cambridge University Press:  17 January 2017

Ahmed. E. Abouelregal
Ahmed. E. Abouelregal*
Affiliation:
Department of Mathematics, Faculty of Science, Mansoura University, P.O. Box 35516, Egypt Department of Mathematics, College of Science and Arts, Aljouf University, Al-Qurayat, Saudi Arabia
*
*Corresponding author. Email:[email protected] (A. E. Abouelregal)
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Abstract

In the present work concentrated on the two-dimensional problem of generalized thermoelasticity for a fiber-reinforced anisotropic thick plate under initial stress. Using generalized thermoelasticity theory with fractional order heat conduction, the problem has been solved by a normal mode analysis. The effect of hydrostatic initial stresses and fractional order parameter is shown graphically on the distributions of the temperature, displacement and thermal stress components. It is found from the graphs that the initial stress and the fractional parameter significantly influences the varieties of field amounts.

Keywords

Fiber-reinforcedanisotropyfractional thermoelasticity initial stressthick plate

MSC classification

Secondary: 74K25: Shells 74G60: Bifurcation and buckling
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 3 , June 2017 , pp. 722 - 741
Copyright
Copyright © Global-Science Press 2017 

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