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Advances in Civil Engineering
Volume 2012, Article ID 971472, 10 pages
http://dx.doi.org/10.1155/2012/971472
Research Article

Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete

1School of Resources & Civil Engineering, Northeastern University, Shenyang 110004, China
2School of Materials, Shenyang Ligong University, Shenyang 110168, China
3School of Civil Engineering, Harbin Engineering University, Harbin 150001, China

Received 28 June 2011; Accepted 17 October 2011

Academic Editor: Muhammad Hadi

Copyright © 2012 Y. H. Cheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. T. Q. Lu and J. J. Long, “The application of synthetic fibers in concrete,” Journal of Soochow University Engineering Science Edition, vol. 25, no. 2, pp. 39–42, 2005 (Chinese). View at Google Scholar · View at Scopus
  2. G. Yong-chang and Z. Hong-Zhou, “Research and engineering applications of fiber-reinforced concrete,” Guangdong Building Materials, vol. 7, pp. 8–9, 2004 (Chinese). View at Google Scholar
  3. W. Zhan-Qiao, Testing research on the fracture properties of fiber reinforced high-strength concrete, M.S. thesis, Zhengzhou University, 2004.
  4. C. Min and C. Si-Wei, “Mode I fracture of concrete or FRC,” Engineering Mechanics, vol. 16, no. 4, pp. 54–58, 1999. View at Google Scholar
  5. S. Rong-Xi, W. Zhang-shui, and C. Yu-zhong, Fiber-Reinforced Cement and Riber-Reinforced Concrete, Chemical Industry Publishing House, Beijing, China, 2006.
  6. S. Mindess, J. Francis Young, and D. Darwin, Concrete, Chemical Industry Publishing House, Beijing, China, 2005.
  7. C. Ying, J. Hong-Dao, Z. Wei-Xuan, and F. Xin-Quan, “Fracture analysis of hybrid fiber reinforced cementitius composites,” Joumal of Hehai University, vol. 33, no. 5, pp. 571–574, 2005. View at Google Scholar
  8. Z. Luo, X. B. Li, and T. H. Ling, “Study on the reinforcement mechanism and fracture mechanics model of steel fiber reinforced concrete,” Mining Research and Development, vol. 23, no. 4, pp. 18–22, 2003 (Chinese). View at Google Scholar · View at Scopus
  9. Z. Hong-Zhou, “Study on enhence mechanism of fiber reinforced concrete,” Guangdong Water Resources and Hydropower, no. 6, pp. 13–14, 2005 (Chinese). View at Google Scholar
  10. G. P. Charepanov, Mechanics of Brittle Fracture, Nauka, Moscow, Russia, 1973.
  11. N. C. Lű, J. Cheng, and Y. H. Cheng, “Models of fracture dynamics of bridging fiber pull-out of composite materials,” Mechanics Research Communications, vol. 32, no. 1, pp. 1–14, 2005. View at Google Scholar
  12. N. C. Lű, Y. H. Cheng, H. M. Xu, J. Cheng, and L. Q. Tang, “Dynamic crack models on problem of bridging fiber pulling out of composite materials,” Applied Mathematics and Mechanics, vol. 25, no. 10, pp. 1194–1202, 2004. View at Google Scholar · View at Scopus
  13. C. Jin, “Problems on elastodynamics of some orthotropic anisotropic bodies,” Journal of Harbin Institute of Technology, supplement, pp. 8–21, 1985 (Chinese). View at Google Scholar
  14. N. I. Muskhelishvili, Some Fundamental Problems in the Mathematical Theory of Elasticity, Nauka, Moscow, Russia, 1966.
  15. N. I. Muskhelishvili, Singular Integral Equations, Nauka, Moscow, Russia, 1968.
  16. R. F. Hoskins, Generalized Functions, Ellis Horwood, 1979.
  17. F. D. Gahov, Boundary-Value Problems. Fitzmatigiz, Nauka, Moscow, Russia, 1963.
  18. W. Xie-Shan, Singular Functions and Their Applications in Mechanics, Scientific Press, Beijing, China, 1993.
  19. G. C. Sih, Mechanics of Fracture4. Elastodynamics Crack Problems, Noordhoff, Leyden, Mass, USA, 1977.
  20. R. P. Kanwal and D. L. Sharma, “Singularity methods for elastostatics,” Journal of Elasticity, vol. 6, no. 4, pp. 405–418, 1976. View at Publisher · View at Google Scholar · View at Scopus
  21. A. S. Kobayashi, “Dynam ic fracture analysis by dynam ic finite element method: generation and prediction analyses,” in Nonlinear and Dynarnic Fracture Mechanics, vol. 35 of AMD, pp. 19–36, ASME, New York, NY, USA, 1979. View at Google Scholar
  22. N. C. Lü, X. G. Li, Y. H. Cheng, and J. Cheng, “Fracture dynamics problem on mode I semi-infinite crack,” Archive of Applied Mechanics, vol. 81, no. 8, pp. 1181–1193, 2011. View at Publisher · View at Google Scholar · View at Scopus
  23. Y. H. Wang, Y. K. Cheung, and C. W. Woo, “Anti-plane shear problem for an edge crack in a finite orthotropic plate,” Engineering Fracture Mechanics, vol. 42, no. 6, pp. 971–976, 1992. View at Google Scholar · View at Scopus
  24. J. F. Kalthof, J. Beinert, and S. Winkler, “Measurements of dynamic stress intensity factors for fastrunning and arresting cracks in double-cantilever-beam specimens,” in Fast Fracture and Crack Arrest, vol. STP 627 of ASTM, pp. 161–176, Philadelphia, Pa, USA, 1977. View at Google Scholar
  25. K. Ravi-Chandar and W. G. Knauss, “An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching,” International Journal of Fracture, vol. 26, no. 2, pp. 141–154, 1984. View at Publisher · View at Google Scholar · View at Scopus
  26. K. Ravi-Chandar and W. G. Knauss, “An experimental investigation into dynamic fracture: IV. On the interaction of stress waves with propagating cracks,” International Journal of Fracture, vol. 26, no. 3, pp. 189–200, 1984. View at Publisher · View at Google Scholar · View at Scopus
  27. N. C. Lü, Y. H. Cheng, X. G. Li, and J. Cheng, “Dynamic propagation problem of mode i semi-infinite crack subjected to superimpose loads,” Fatigue and Fracture of Engineering Materials and Structures, vol. 33, no. 3, pp. 141–148, 2010. View at Publisher · View at Google Scholar · View at Scopus
  28. N. C. Lü, Y. H. Cheng, X. G. Li, and J. Cheng, “Dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected to moving loads,” Applied Mathematics and Mechanics, vol. 29, no. 10, pp. 1279–1290, 2008. View at Publisher · View at Google Scholar · View at Scopus
  29. N. C. Lü, Y. H. Cheng, Y. T. Wang, and J. Cheng, “Dynamic fracture of orthotropic solids under anti-plane shear loading,” Mechanics of Advanced Materials and Structures, vol. 17, no. 3, pp. 215–224, 2010. View at Publisher · View at Google Scholar · View at Scopus
  30. N. C. Lü, Y. H. Cheng, Y. T. Wang, and J. Cheng, “Dynamic extension problems concerning asymmetrical mode III crack,” Applied Mathematical Modelling, vol. 35, pp. 2499–2507, 2011. View at Publisher · View at Google Scholar · View at Scopus
  31. N. C. Lü, Y. H. Cheng, Y. T. Wang, and J. Cheng, “Fracture dynamics problems of orthotropic solids under anti-plane shear loading,” Nonlinear Dynamics, vol. 63, no. 4, pp. 793–806, 2011. View at Publisher · View at Google Scholar · View at Scopus
  32. Y. S. Wang and D. Wang, “Transient motion of an interface dislocation and self-similar propagation of an interface crack: anti-plane motion,” Engineering Fracture Mechanics, vol. 55, no. 5, pp. 717–725, 1996. View at Publisher · View at Google Scholar · View at Scopus
  33. K. C. Wu, “Transient motion of an interfacial line force or dislocation in an anisotropic elastic bimaterial,” International Journal of Solids and Structures, vol. 40, no. 8, pp. 1811–1823, 2003. View at Publisher · View at Google Scholar · View at Scopus
  34. C. Atkinson, “On the dynamic stress and displacement field associated with a crack propagating across the interface between two media,” International Journal of Engineering Science, vol. 13, no. 5, pp. 491–506, 1975. View at Google Scholar · View at Scopus
  35. N. C. Lü, D. N. Yang, Y. H. Cheng, and J. Cheng, “Asymmetrical dynamic propagation problems on mode III interface crack,” Applied Mathematics and Mechanics, vol. 28, no. 4, pp. 501–510, 2007. View at Publisher · View at Google Scholar · View at Scopus
  36. N. C. Lu, Y. H. Cheng, X. B. Tian, and J. Cheng, “Dynamic propagation problem on Dugdale model of mode III interface crack,” Applied Mathematics and Mechanics, vol. 26, no. 9, pp. 1212–1221, 2005. View at Google Scholar · View at Scopus
  37. N. C. Lü, Y. H. Cheng, X. G. Li, and J. Cheng, “Asymmetrical dynamic propagation problems concerning mode III interface crack,” Composite Interfaces, vol. 17, no. 1, pp. 37–48, 2010. View at Publisher · View at Google Scholar · View at Scopus
  38. N. C. Lu, Y. H. Cheng, and J. Cheng, “Dynamic propagation problems concerning asymmetrical mode III interface crack,” International Journal of Computational Methods in Engineering Science and Mechanics, vol. 9, no. 4, pp. 246–253, 2008. View at Publisher · View at Google Scholar · View at Scopus
  39. G. P. Charepanov and E. F. Afanasov, “Some dynamic problems of the theory of elasticity—A review,” International Journal of Engineering Science, vol. 12, no. 5, pp. 665–690, 1970. View at Google Scholar
  40. G. P. Charepanov, Mechanics of Brittle Fracture, Nauka, Moscow, Russia, 1973.
  41. N. C. Lü, J. Cheng, and Y. H. Cheng, “Self-similar solutions of fracture dynamics problems on axial symmetry,” Applied Mathematics and Mechanics, vol. 22, no. 12, pp. 1429–1435, 2001. View at Publisher · View at Google Scholar · View at Scopus
  42. N. I. Sneddon, Fourier Transform, McGraw-Hill, New York, NY, USA, 1951.
  43. N. I. Muskhelishvili, Some Basic Problems from the Mathematical Theory of Elasticity, P. Noordoff, Groningen, The Netherlands, 1953.
  44. L. A. Galin, Contact Problems in Elasticity Theory, GITTL, Moscow, Russia, 1953.