| Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load |
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| 作者姓名： | HUANG De-jin DING Hao-jiang CHEN Wei-qiu |
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| 作者单位： | HUANG De-jin1，2，DING Hao-jiang1，CHEN Wei-qiu1 (1Department of Civil Engineering，Zhejiang University，Hangzhou 310027，China) (2Faculty of Engineering，Ningbo University，Ningbo 315211，China) |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Nos. 10472102 and 1043203） and the Foundation of Ningbo University （No. 2005014）, China |
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| 摘 要： | The bending problem of a functionally graded anisotropic cantilever beam subjected to thermal and uniformly dis-tributed load is investigated,with material parameters being arbitrary functions of the thickness coordinate. The heat conduction problem is treated as a 1D problem through the thickness. Based on the elementary formulations for plane stress problem,the stress function is assumed to be in the form of polynomial of the longitudinal coordinate variable,from which the stresses can be derived. The stress function is then determined completely with the compatibility equation and boundary conditions. A practical example is presented to show the application of the method.
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| 关 键 词： | 功能分级材料 各向异性 热应力 解析法 均匀分布载荷 悬臂梁 |
| 收稿时间： | 7 June 2007 |
| 修稿时间： | 2007-06-072007-07-03 |
Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load |
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| HUANG De-jin DING Hao-jiang CHEN Wei-qiu.Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load[J].Journal of Zhejiang University Science,2007,8(9):1351-1355. |
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| Authors: | Huang De-jin Ding Hao-jiang Chen Wei-qiu |
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| Institution: | (1) Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, China;(2) Faculty of Engineering, Ningbo University, Ningbo, 315211, China |
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| Abstract: | The bending problem of a functionally graded anisotropic cantilever beam subjected to thermal and uniformly dis-tributed load is investigated,with material parameters being arbitrary functions of the thickness coordinate. The heat conduction problem is treated as a 1D problem through the thickness. Based on the elementary formulations for plane stress problem,the stress function is assumed to be in the form of polynomial of the longitudinal coordinate variable,from which the stresses can be derived. The stress function is then determined completely with the compatibility equation and boundary conditions. A practical example is presented to show the application of the method. |
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| Keywords: | Functionally graded material (FGM) Anisotropic Thermal stress Analytical solution Cantilever beam |
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