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
Citation: 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

Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient

doi: 10.3879/j.issn.1000-0887.2009.10.001
  • Received Date: 2009-05-15
  • Rev Recd Date: 2009-08-02
  • Publish Date: 2009-10-15
  • 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.
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