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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (9): 1351-1355    DOI: 10.1631/jzus.2007.A1351
Civil Engineering & Mechanics     
Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load
HUANG De-jin, DING Hao-jiang, CHEN Wei-qiu
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; 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 distributed 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.

Key words： Functionally graded material (FGM)      Anisotropic      Thermal stress      Analytical solution      Cantilever beam     
Received: 07 June 2007     
CLC:  O343.1  
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HUANG De-jin
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CHEN Wei-qiu
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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. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(9): 1351-1355.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A1351     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I9/1351

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