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

Abstract

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.

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Correspondence to Hong-kai Chen 陈洪凯.

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Project supported by the National Natural Science Foundation of China (No.50678182) and the Chunhui International Fundation of China (NO.Z2005155002)

(Communicated by XIE He-ping)

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Chen, H., Tang, H. Method to calculate fatigue fracture life of control fissure in perilous rock. Appl Math Mech 28, 643–649 (2007). https://doi.org/10.1007/s10483-007-0509-1

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Key words

  • perilous rock
  • control fissure
  • fatigue fracture
  • life

Chinese Library Classification

  • P642.3
  • O346.5
  • P642.21

2000 Mathematics Subject Classification

  • 76T25
  • 74L10