Applied Mathematics and Mechanics

, Volume 31, Issue 1, pp 67–76 | Cite as

Interaction between cracks and effect of microcrack zone on main crack tip

  • Xiao-zhou Xia (夏晓舟)Email author
  • Qing Zhang (章青)
  • Pi-zhong Qiao (乔丕忠)
  • Li-juan Li (李丽娟)


Mechanism interaction between cracks with different orientation angles is analyzed based on the principle of superposition and a flattening method. It is found that the maximum interaction effect does not occur when the microcrack is along the direction parallel or perpendicular to the principal tensile stress, which is different from the conclusion drawn by Ortiz (1987). The mechanism of microcrack generation and the effect of the microcrack zone on the main crack tip are studied. It is concluded that the microcrack zone has effect on the main crack tip, which increases with the increase of microcrack density and length.

Key words

principle of superposition stress intensity factor interaction effect microcrack zone 

Chinese Library Classification


2000 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer Berlin Heidelberg 2010

Authors and Affiliations

  • Xiao-zhou Xia (夏晓舟)
    • 1
    • 2
    • 3
    Email author
  • Qing Zhang (章青)
    • 2
    • 3
  • Pi-zhong Qiao (乔丕忠)
    • 2
    • 3
    • 4
  • Li-juan Li (李丽娟)
    • 1
  1. 1.The Faculty of ConstructionGuangdong University of TechnologyGuangzhouP. R. China
  2. 2.State Key Laboratory of Hydrology-Water Resources and Hydraulic EngineeringHohai UniversityNanjingP. R. China
  3. 3.Department of Engineering MechanicsHohai UniversityNanjingP. R. China
  4. 4.Department of Civil and Environmental EngineeringWashington State UniversityPullmanUSA

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