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Torsional impact response of a penny-shaped crack in a functional graded strip

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Abstract

The torsional impact response of a penny-shaped crack in a nonhomogeneous strip is considered. The shear modulus is assumed to be functionally graded such that the mathematics is tractable. Laplace and Hankel transforms were used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by considering the asymptotic behavior of Bessel function. Explicit expressions of both the dynamic stress intensity factor and the energy density factor were derived. And it is shown that, as crack driving force, they are equivalent for the present crack problem. Investigated are the effects of material nonhomogeneity and strip's highness on the dynamic fracture behavior. Numerical results reveal that the peak of the dynamic stress intensity factor can be suppressed by increasing the nonhomogeneity parameter of the shear modulus, and that the dynamic behavior varies little with the adjusting of the strip's highness.

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Authors and Affiliations

  1. Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, 050043, Shijiazhuang, PR China

    Feng Wen-jie Professor, Doctor & Li Xiang-guo

  2. Department of Resource and Information, University of Petroleum, 102200, Beijing, PR China

    Wang Shou-dong

Authors
  1. Feng Wen-jie Professor, Doctor
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  2. Li Xiang-guo
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  3. Wang Shou-dong
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Additional information

Communicated by YANG Gui-tong, Original Member of Editorial Committee, AMM

Foundation items: the National Natural Science Foundation of China (19772029); the Research Found for Doctor of Hebei Province, P. R. China (B2001213)

Biography: FENG Wen-jie (1967∼)

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Wen-jie, F., Xiang-guo, L. & Shou-dong, W. Torsional impact response of a penny-shaped crack in a functional graded strip. Appl Math Mech 25, 1398–1404 (2004). https://doi.org/10.1007/BF02438297

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  • DOI: https://doi.org/10.1007/BF02438297

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Chinese Library Classification

2000 Mathematics Subject Classification

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