Applied Mathematics and Mechanics

, Volume 30, Issue 10, pp 1211–1220 | Cite as

Thermoelastic analysis of functionally graded annulus with arbitrary gradient

  • Xu-long Peng (彭旭龙)
  • Xian-fang Li (李显方)Email author


A thermoelastic problem of a circular annulus made of functionally graded materials with an arbitrary gradient is investigated. Different from previous works, our analysis neither requires a special form of the gradient of material properties nor demands partitioning the entire structure into a multilayered homogeneous structure. Instead, we propose a new method for solving the thermoelastic problem of a functionally graded circular annulus by transforming it to a Fredholm integral equation. The distribution of thermal stresses and radial displacement can be obtained by solving the resulting equation. Illustrative examples are 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. The results indicate that the thermal stresses can be relaxed for specified gradients, which is beneficial to design an inhomogeneous annulus to maintain structural integrity.

Key words

functionally graded materials thermoelastic analysis arbitrary gradient circular annulus 

Chinese Library Classification


2000 Mathematics Subject Classification

74E05 74F05 


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Copyright information

© Shanghai University and Springer Berlin Heidelberg 2009

Authors and Affiliations

  • Xu-long Peng (彭旭龙)
    • 1
  • Xian-fang Li (李显方)
    • 1
    Email author
  1. 1.Institute of Mechanics and Sensor Technology, School of Civil Engineering and ArchitectureCentral South UniversityChangshaP. R. China

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