Applied Mathematics and Mechanics

, Volume 28, Issue 5, pp 643–649 | Cite as

Method to calculate fatigue fracture life of control fissure in perilous rock

  • Chen Hong-kai  (陈洪凯)Email author
  • Tang Hong-mei  (唐红梅)


Rupture and safety of perilous rock are dominated by control fissure behind perilous rock block. Based on model-I and model-II stress strength factors of control fissure under acting of weight of perilous rock, water pressure in control fissure and earthquake forces, method to calculate critical linking length of control fissure is established. Take water pressure in control fissure as a variable periodic load, and abide by P-M criterion, when control fissure is filled with water, establish the method to calculate fatigue fracture life of control fissure in critical status by contributing value of stress strength factor stemming from water pressure of control fissure in Paris’s fatigue equation. Further, parameters (C and m) of sandstone with quartz and feldspar in the area of the Three Gorges Reservoir of China are obtained by fatigue fracture testing.

Key words

perilous rock control fissure fatigue fracture life 

Chinese Library Classification

P642.3 O346.5 P642.21 

2000 Mathematics Subject Classification

76T25 74L10 


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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Chen Hong-kai  (陈洪凯)
    • 1
    Email author
  • Tang Hong-mei  (唐红梅)
    • 1
  1. 1.Institute of Geotechnical EngineeringChongqing Jiaotong UniversityChongqingP. R. China

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