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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (10): 1211-1220.doi: https://doi.org/10.1007/s10483-009-1001-7

• Articles •    下一篇

Thermoelastic analysis of functionally graded annulus with arbitrary gradient

彭旭龙 李显方   

  1. Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture, Central South University, Changsha 410083, P. R. China
  • 收稿日期:2009-05-15 修回日期:2009-08-02 出版日期:2009-10-01 发布日期:2009-10-01

Thermoelastic analysis of functionally graded annulus with arbitrary gradient

PENG Xu-Long, LI Xian-Fang   

  1. Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture, Central South University, Changsha 410083, P. R. China
  • Received:2009-05-15 Revised:2009-08-02 Online:2009-10-01 Published:2009-10-01

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摘要： 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.

关键词: functionally graded materials, thermoelastic analysis, arbitrary gradient, circular annulus

Abstract: 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

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