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Received: 2007-06-07

Revision Accepted: 2007-07-03

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.9 P.1351~1355

10.1631/jzus.2007.A1351


Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load


Author(s):  HUANG De-jin, DING Hao-jiang, CHEN Wei-qiu

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   dinghj@zju.edu.cn

Key Words:  Functionally graded material (FGM), Anisotropic, Thermal stress, Analytical solution, Cantilever beam


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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 A, 2007, 8(9): 1351~1355.

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%DOI 10.1631/jzus.2007.A1351

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T1 - Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load
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DOI - 10.1631/jzus.2007.A1351


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.

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Reference

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