Similar articles

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.

[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.