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Received: 2001-05-18

Revision Accepted: 2001-07-18

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Journal of Zhejiang University SCIENCE A 2002 Vol.3 No.1 P.1~5

http://doi.org/10.1631/jzus.2002.0001


Thermoelastic stresses in a uniformly heated functionally graded isotropic hollow cylinder


Author(s):  CHEN Wei-qiu, CAI Jin-biao, YE Gui-ru

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s): 

Key Words:  thermoelastic stress, hollow cylinder, functionally graded material


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CHEN Wei-qiu, CAI Jin-biao, YE Gui-ru. Thermoelastic stresses in a uniformly heated functionally graded isotropic hollow cylinder[J]. Journal of Zhejiang University Science A, 2002, 3(1): 1~5.

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Abstract: 
The axisymmetric thermoelastic problem of a uniformly heated, functionally graded isotropic hollow cylinder is considered. An analytical form of solution is proposed. For the case when the Young's modulus and thermal expansion coefficient have a power-law dependence on the radial coordinate, explicit exact solution is obtained. For the degenerated case, i.e. when the cylinder is homogeneous and isotropic, no stresses will occur provided it is subjected to a uniform temperature. Numerical results are finally given and some important inclusions are obtained.

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Reference

[1] Chen,W.Q., Wang,X., Ding,H.J., 1999. Free vibration of a fluid-filled hollow sphere of a functionally graded material with spherical isotropy. J. Acoust. Soc. Am., 106: 2588-2594.

[2] Chen,W.Q., 2000. Stress distribution in a rotating elastic functionally graded material hollow sphere with spherical isotropy. J. Strain Anal., 35: 13-20.

[3] Horgan,C.O., Chan,A.M., 1999. The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. J. Elast., 55: 43-59.

[4] Noda,N., Tsuji,T., 1991. Steady thermal stresses in a plate of functionally gradient material. Trans. Jpn. Soc. Mech. Eng., 57A: 98-102 (in Japanese).

[5] Obata,Y., Noda,N., 1994. Steady thermal stresses in a hollow cylinder and a hollow sphere of a functionally gradient material. J. Thermal Stresses, 17: 471-487.

[6] Rooney,F., Ferrari,M., 2001. Tension, bending, and flexure of functionally graded cylinders. Int. J. Solids Struct., 38: 413-421.

[7] Spencer,A.J.M., Watson,P., Rogers,T.G., 1992. Thermoelastic distortions in laminated anisotropic tubes and channel sections. J. Thermal Stresses, 15: 129-141.

[8] Tanigawa,Y., Oka,N., Akai,T., et al., 1997. One-dimensional transient thermal stress problem for nonhomogeneous hollow circular cylinder and its optimization of material composition for thermal stress relaxation. JSME Int. J., 40A: 117-127.

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