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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (12): 1398-1404.

• 论文 • 上一篇    下一篇

TORSIONAL IMPACT RESPONSE OF A PENNY-SHAPED CRACK IN A FUNCTIONAL GRADED STRIP

冯文杰1, 李向国1, 王守东2   

  1. 1. Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China;
    2. Department of Resource and Information, University of Petroleum, Beijing 102200, P. R. China
  • 收稿日期:2003-01-19 修回日期:2004-07-06 出版日期:2004-12-18 发布日期:2004-12-18
  • 基金资助:

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

TORSIONAL IMPACT RESPONSE OF A PENNY-SHAPED CRACK IN A FUNCTIONAL GRADED STRIP

FENG Wen-jie1, LI Xiang-guo1, WANG Shou-dong 2   

  1. 1. Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China;
    2. Department of Resource and Information, University of Petroleum, Beijing 102200, P. R. China
  • Received:2003-01-19 Revised:2004-07-06 Online:2004-12-18 Published:2004-12-18
  • Supported by:

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

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摘要： 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.

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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