DUAN Shu-jin, ZHANG Yan-long, AN Rui-mei. Fracture Process Zone Size Based on Secondary Elastic Crack Tip Stress Solution[J]. Applied Mathematics and Mechanics, 2013, 34(6): 598-605. doi: 10.3879/j.issn.1000-0887.2013.06.006
Citation: DUAN Shu-jin, ZHANG Yan-long, AN Rui-mei. Fracture Process Zone Size Based on Secondary Elastic Crack Tip Stress Solution[J]. Applied Mathematics and Mechanics, 2013, 34(6): 598-605. doi: 10.3879/j.issn.1000-0887.2013.06.006

Fracture Process Zone Size Based on Secondary Elastic Crack Tip Stress Solution

doi: 10.3879/j.issn.1000-0887.2013.06.006
  • Received Date: 2013-04-22
  • Rev Recd Date: 2013-04-28
  • Publish Date: 2013-06-15
  • The contour and characteristic sizes of a microcrack zone ahead of a fracture process zone (PFZ) were derived by the local solution based on Westergaard stress function with the secondary elastic crack tip stress. The critical sizes of FPZ were yielded out by the use of a power exponent tensile strain softening model under the maximum tensile stress criterion and the maximum tensile strain criterion. Based on the first elastic crack tip stress expression and the secondary elastic crack tip stress expression by Westergaard stress function, Muskhelishvili stress function and DuanNakagawa model, the critical sizes of FPZ were compared. The discussions show that the size of a microcrack zone and the critical size of FPZ increase with the decreasing Poisson ratio, and approach that of the maximum stress criterion. The contour and characteristic size of a microcrack zone and the critical sizes of FPZ based on the secondary elastic crack tip stress solution are bigger than the one based on the first elastic crack tip stress solution. The critical size of FPZ increases with the increasing tensile strain softening index. The accuracy of critical size of FPZ based on the secondary elastic crack tip stress solution is much higher than the one based on the first elastic crack tip stress solution.
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