BENDING OF FGM PLATES BY A SIMPLIFIED FOUR-UNKNOWN SHEAR AND NORMAL DEFORMATIONS THEORY-Reference-Cited by-同舟云学术

BENDING OF FGM PLATES BY A SIMPLIFIED FOUR-UNKNOWN SHEAR AND NORMAL DEFORMATIONS THEORY

Published:2013-06 Issue:02 Volume:05 Page:1350020
ISSN:1758-8251
Container-title:International Journal of Applied Mechanics
language:en
Short-container-title:Int. J. Appl. Mechanics

Author:

ZENKOUR ASHRAF M.¹²

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt

Abstract

The bending response of FGM plates is presented based upon a simplified shear and normal deformations theory. The present simplified theory is accounted for an adequate distribution of transverse shear strains through the plate thickness and tangential stress-free on the plate surfaces. The effect of transverse normal strain is also included. The number of unknown functions involved here is only four as against six in case of other shear and normal deformations theories. The principle of virtual work is employed to derive the governing equations. A comparison with the corresponding results is made to check the accuracy and efficiency of the present theory. Additional results for all stresses are investigated through-the-thickness of the FGM plate.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1758825113500208

Reference29 articles.

1. A new shear deformation theory for laminated composite plates

2. FREE VIBRATION OF FUNCTIONALLY GRADED ARBITRARY STRAIGHT-SIDED QUADRILATERAL PLATES RESTING ON ELASTIC FOUNDATIONS

3. Effects of thickness stretching in functionally graded plates and shells

4. Analysis of composite plates by trigonometric shear deformation theory and multiquadrics

5. Dynamic stiffness analysis of laminated composite beams using trigonometric shear deformation theory

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