Abstract
The strain gradient plasticity theory is used to investigate the crack-tip field in a power law hardening material. Numerical solutions are presented for plane-stress mode I and mode II cracks under small scale yielding conditions. A comparison is made with the existing asymptotic fields. It is found that the size of the dominance zone for the near-tip asymptotic field, recently obtained by Chen et al., is on the order 5% of the intrinsic material lengthI. Remote from the dominance zone, the computed stress field tends to be the classical HRR field. Within the plastic zone only force-stress dominated solution is found for either mode I or mode II crack.
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Qiu, X., Guo, T., Huang, K. et al. FEM solutions for plane stress mode-I and mode-II cracks in strain gradient plasticity. Sci. China Ser. A-Math. 43, 969–979 (2000). https://doi.org/10.1007/BF02879803
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DOI: https://doi.org/10.1007/BF02879803