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AXISYMMETRIC BENDING OF TWO-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR AND ANNULAR PLATES
作者姓名:Guojun  Nie  Zheng  Zhong
作者单位:School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
基金项目:Project supported by the National Natural Science Foundation of China (No.10432030).
摘    要:Assuming the material properties varying with an exponential law both in the thick- ness and radial directions,axisymmetric bending of two-directional functionally graded circular and annular plates is studied using the semi-analytical numerical method in this paper.The de- flections and stresses of the plates are presented.Numerical results show the well accuracy and convergence of the method.Compared with the finite element method,the semi-analytical nu- merical method is with great advantage in the computational efficiency.Moreover,study on ax- isymmetric bending of two-directional functionally graded annular plate shows that such plates have better performance than those made of isotropic homogeneous materials or one-directional functionally graded materials.Two-directional functionally graded material is a potential alter- native to the one-directional functionally graded material.And the integrated design of materials and structures can really be achieved in two-directional functionally graded materials.

关 键 词:双向功能等级材料  圆环形板块  弯曲度  数学模型
收稿时间:2007-05-18
修稿时间:2007-12-06

AXISYMMETRIC BENDING OF TWO-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR AND ANNULAR PLATES
Guojun Nie Zheng Zhong.AXISYMMETRIC BENDING OF TWO-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR AND ANNULAR PLATES[J].Acta Mechanica Solida Sinica,2007,20(4):289-295.
Authors:Guojun Nie  Zheng Zhong
Institution:1. Advanced Research Laboratory for Multifunctional Lightweight Structures (ARL-MLS), Department of Mechanical & Industrial Engineering, University of Toronto, Toronto, Canada;2. Department of Mechanical Engineering, Eastern Mediterranean University, G. Magosa, North Cyprus via Mersin 10, Turkey;3. Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China
Abstract:Assuming the material properties varying with an exponential law both in the thick- ness and radial directions,axisymmetric bending of two-directional functionally graded circular and annular plates is studied using the semi-analytical numerical method in this paper.The de- flections and stresses of the plates are presented.Numerical results show the well accuracy and convergence of the method.Compared with the finite element method,the semi-analytical nu- merical method is with great advantage in the computational efficiency.Moreover,study on ax- isymmetric bending of two-directional functionally graded annular plate shows that such plates have better performance than those made of isotropic homogeneous materials or one-directional functionally graded materials.Two-directional functionally graded material is a potential alter- native to the one-directional functionally graded material.And the integrated design of materials and structures can really be achieved in two-directional functionally graded materials.
Keywords:two-directional functionally graded materials  circular and annular plates  axisymmetric bending  semi-analytical numerical method  integrated design
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