Applied Mathematics and Mechanics

, Volume 29, Issue 8, pp 1005–1012 | Cite as

Fracture analysis for torsion problems of a composite cylinder with curvilinear cracks

  • Tian-wei Pan (潘天娓)
  • Yin-bang Wang (王银邦)
Article
  • 52 Downloads

Abstract

The Saint-Venant torsion problems of a composite cylinder with curvilinear cracks were investigated. By considering the bimaterial interface as a boundary of the outer bar or inner one, the problem was reduced to the solution of boundary integral equations on the crack, external boundary and interface. Using the new boundary element method, some typical torsion problems of a composite cylinder involving a straight or kinked crack were calculated. The obtained results were compared with data in the literature to show validity and applicability of the present method.

Key words

Saint-Venant torsion composite cylinder curvilinear cracks boundary integral equation stress intensity factor 

Chinese Library Classification

O346.1 

2000 Mathematics Subject Classification

74R10 74S15 74G70 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Tao Zhong, Yu Qing. New compound structure pillar[M]. Beijing: Science Press, 2006 (in Chinese).Google Scholar
  2. [2]
    Zhang Minzheng. Some revelations of the earthquake disaster in recent years[J]. Earthquake Resistant Engineering, 2001, (1):11–15 (in Chinese).Google Scholar
  3. [3]
    Zhang Xianen. Can earthquake cause torsional wave[J]. Sichuan Architecture, 2000, 20(4):51 (in Chinese).Google Scholar
  4. [4]
    Tang Renji, Yue Jinchao. Torsion of composite cylinder with crack and inclusion[J]. Acta Mechanica Sinica, 1992, 24(3):350–360 (in Chinese).Google Scholar
  5. [5]
    Ma Zhiqing, Tang Renji. Torsion problem solved for a compound cylinder with cracks[J]. Shanghai Journal of Mechanics, 1992, 13(1):15–21 (in Chinese).Google Scholar
  6. [6]
    Yue Jinchao, Tang Renji. Integral equation method for the torsion of a composite cylinder with crack and inclusion[J]. Engineering Fracture Mechanics, 1996, 55(5):763–775.CrossRefGoogle Scholar
  7. [7]
    Chien Weizang, Yhe Kaiyuan. Theory of elasticity[M]. Beijing: Science Press, 1956 (in Chinese).Google Scholar
  8. [8]
    Tang Ren-ji. Torsion theory of cylinder with cracks[M]. Shanghai: Shanghai Jiaotong University Press, 1996 (in Chinese).Google Scholar
  9. [9]
    Li Zailiang, Wang Yuanhan, Li Tingjie. Boundary element method of fracture mechanics[M]. Beijing: Earthquake Press, 1996 (in Chinese).Google Scholar
  10. [10]
    Wang Yinbang, Lu Zizi. New boundary element method for torsion problems of cylinder with curvilinear cracks[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(12):1531–1538.MathSciNetGoogle Scholar
  11. [11]
    Yun Tianquan. Integral equations and application in mechanics[M]. Guangzhou: Huanan Technical University Press, 1990 (in Chinese).Google Scholar
  12. [12]
    Tang Renji, Wang Yinbang. On the problem of crack system with an elliptic hole[J]. Acta Mechanica Sinica, 1982, 2(1):47–57.MathSciNetGoogle Scholar
  13. [13]
    Chen Y Z. Stress intensity factor for cracked torsion triangle bar[J]. International Journal of Fracture, 1996, 80:R19–21.CrossRefGoogle Scholar
  14. [14]
    Zheng Jianjun, Liu Xingye, Zhou Xinzhu. Boundary element method and application in structure analysis[M]. Hefei: Anhui Science and Technical Press, 2006 (in Chinese).Google Scholar
  15. [15]
    Brebbia C A. The boundary element method for engineers[M]. London: Pentech Press, 1978.Google Scholar

Copyright information

© Shanghai University and Springer-Verlag GmbH 2008

Authors and Affiliations

  • Tian-wei Pan (潘天娓)
    • 1
  • Yin-bang Wang (王银邦)
    • 1
  1. 1.College of EngineeringOcean University of ChinaQingdaoP. R. China

Personalised recommendations