Vibration and the Buckling Response of Functionally Graded Plates According to a Refined Hyperbolic Shear Deformation Theory

被引:0
作者
J. Singh
A. Kumar
机构
[1] National Institute of Technology Patna,Department of Civil Engineering
来源
Mechanics of Composite Materials | 2023年 / 59卷
关键词
plate; vibration analysis; buckling analysis; finite-element method;
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学科分类号
摘要
A first attempt is made to study the free vibrations and the buckling response of functionally graded plates using a refined hyperbolic shear deformation theory. This theory incorporates high-order effects of shear and normal deformation with accounting for thickness stretching. A combination of hyperbolic and polynomial functions ensures a parabolic profile of shear stresses and the enforcement of zero shear stresses at the top and bottom surfaces of the plates. The need for a shear correction factor is eliminated. The plates are made from advanced composites consisting of a functionally graded material varying from a ceramic to metallic phase across the thickness. The mechanical properties of the plates are homogenized by the Voigt rule of mixtures and the Mori- Tanaka scheme. A C0 finite-element model is developed for the present theory and is included in the MATLAB code. A convergence study is performed and the efficacy of the model is validated.
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页码:725 / 742
页数:17
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