Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient

PENG Xu-long; LI Xian-fang

doi:10.3879/j.issn.1000-0887.2009.10.001

Volume 30 Issue 10

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PENG Xu-long, LI Xian-fang. Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1135-1142. doi: 10.3879/j.issn.1000-0887.2009.10.001

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Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient

doi: 10.3879/j.issn.1000-0887.2009.10.001

IMST, School of Civil Engineering and Architecture, Central South University, Changsha 410083, P. R. China

Received Date: 2009-05-15
Rev Recd Date: 2009-08-02
Publish Date: 2009-10-15

Abstract

Abstract

A thermoelastic problem of a circular annulus made of functionally graded materials with an arbitrary gradient was investigated. Different from previous works, the analysis neither requires a special form of the gradient of material properties nor demands to partition the entire structure into a multilayered homogeneous structure. Instead, a new method for solving the thermoelastic problem of a functionally graded circular annulus by transforming it to a Fredholm integral equation was proposed. The distribution of thermal stresses and radial displacement could be obtained by the solution to the resulting equation. Finally, illustrative examples were given to show the effects of varying gradients on the thermal stresses and radial displacement for given temperature changes at the inner and outer surfaces. Obtained results indicate that the thermal stresses can be relaxed for specified gradients, which is of benefit to designing a nonhomogeneous annulus to maintain structural integrity.
- functionally graded materials,
- thermoelastic analysis,
- arbitrary gradient,
- circular annulus

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References(19)

References

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