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Longitudinal shear of a crack in a multi-material circular cylinder

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Abstract

This is an article dealing with the longitudinal shear of a crack contained in a circular cylinder, which is embedded in and fixed by perfect bonding to a composed hollow circular cylinder, consisting of a number of hollow sub-cylinders of different materials. A rigorous solution to the problem is developed. With the material and geometric constants of the composed hollow circular cylinder as parameters, numerical values of stress intensity factors for the crack are worked out. The delicate behavior in the variation of the stress intensity factors, when the number of the hollow sub-cylinders becomes large, is analyzed and discussed. The solution is developed by utilizing a simplified and improved technique using complex variables.

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Authors and Affiliations

  1. Department of Civil Engineering, Shanghai Institute of Railway Technology, 20333, Shanghai, People's Republic of China

    Xiangzhou Zhang

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  1. Xiangzhou Zhang
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Zhang, X. Longitudinal shear of a crack in a multi-material circular cylinder. Int J Fract 73, 25–38 (1995). https://doi.org/10.1007/BF00039849

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  • DOI: https://doi.org/10.1007/BF00039849

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