Research on Fractal Crack Propagation Mechanism of Hydraulic Tunnel Concrete Lining

Abstract:

Based on the fractal geometry theory, the bending form of crack expansion on concrete lining of hydraulic tunnel is described, according to the model of fractal fracture, stress intensity factor of concrete lining crack of hydraulic tunnel is established. Combined with the fracture mechanics theory, the relationship of stress intensity factor on l concrete lining crack is obtained under the hypothesis of crack linear expansion and crack irregular expansion, while the stress intensity factor of latter is less than the former, which is more close to the actual circumstance and more reasonable, whose fractal dimension is obviously larger than the former. The conclusion can provide reference for the engineering design.

• Periodical: Applied Mechanics and Materials (Volumes 353-356)
• Pages: 1704-1708
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.353-356.1704
• Online since: August 2013
• Authors: Xiao Sun, Yue Qiang, Ming Jie Zhao, Kui Wang
• Keywords: Crack Propagation, Fractal, Hydraulic Tunnel

References

[1] H.P. Xie: Fractal Mechanics of Crack Propagation in Brittle Materials, Acta Mechanica Sinica , Vol. 26-6(1994), pp.757-762.

[2] Q. CH. Hong: Elementary engineering fracture mechanics(Shanghai Jiao Tong University Press, China, 1987).

[3] Sh.L. Xu, F.X. Yin and W. Shen: Limite Crack Design of Lining Structure on Underground Hydraulic Pressure Tunnel( Dalian university of Technology Press, China, 2008).

[4] X.H. Chai, Y.P. Chai: Structure Stress computation of Hydraulic Pressure Tunnel Structura(China Water Conservancy and Electricity Press, China, 2004).

[5] H.P. Xie: Fractal Geometry—Mathematical Foundation application (Chongqing University Press, China, 1991).