Analytical Solution for Functionally Graded Anisotropic Cantilever Beam Subjected to Linearly Distributed Load

HUANG De-jin; DING Hao-jiang; CHEN Wei-qiu

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(7): 763-768

HUANG De-jin, DING Hao-jiang, CHEN Wei-qiu. Analytical Solution for Functionally Graded Anisotropic Cantilever Beam Subjected to Linearly Distributed Load[J]. Applied Mathematics and Mechanics, 2007, 28(7): 763-768.

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Analytical Solution for Functionally Graded Anisotropic Cantilever Beam Subjected to Linearly Distributed Load

1.
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;

Received Date: 2006-10-26
Rev Recd Date: 2007-04-24
Publish Date: 2007-07-15

Abstract

Abstract

The bending problem of a functionally graded anisotropic cantilever beam subjected to a linearly distributed load is investigated. The analysis was based on the exact elasticity equations for the plane stress problem. The stress function was introduced and assumed in form of a polynomial of the longitudinal coordinate. The expressions for stress components were then educed from the stress function by simple differentiation. The stress function was determined from the compatibility equation as well as the boundary conditions by a skilful deduction. The analytical solution was compared with FEM calculation, indicating a good agreement.
- functionally graded,
- plane stress problem,
- stress function,
- linearly distributed load,
- analytical solution

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References(5)

References

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