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An analytical method for thermal stresses of a functionally graded material cylindrical shell under a thermal shock

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Abstract

In this paper, the thermal stresses of a thin functionally graded material (FGM) cylindrical shell subjected to a thermal shock are studied. An analytical method is developed. The studied problem for an FGM cylindrical shell is reduced to a plane problem. A perturbation method is used to solve the thermal diffusion equation for FGMs with general thermal properties. Then, the transient thermal stresses are obtained. The results show that the thermal shock is much easier to result in failure than the steady thermal loading. The present method can also be used to solve the crack problem of an FGM cylindrical shell with general thermal properties.

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Authors and Affiliations

  1. Department of Material Science and Engineering & Department of Astronautic Science and Mechanics, Harbin Institute of Technology, 150001, Harbin, People’s Republic of China

    Li-cheng Guo

  2. Department of Mechanical Engineering, Shizuoka University, Hamamatsu, 432-8561, Japan

    Naotake Noda

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  1. Li-cheng Guo
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  2. Naotake Noda
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Correspondence to Li-cheng Guo.

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Guo, Lc., Noda, N. An analytical method for thermal stresses of a functionally graded material cylindrical shell under a thermal shock. Acta Mech 214, 71–78 (2010). https://doi.org/10.1007/s00707-010-0315-8

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  • DOI: https://doi.org/10.1007/s00707-010-0315-8

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