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FEM solutions for plane stress mode-I and mode-II cracks in strain gradient plasticity

FEM solutions for plane stress mode-I and mode-II cracks in strain gradient plasticity
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摘要 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 length I. 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. 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.
出处 《Science China Mathematics》 SCIE 2000年第9期969-979,共11页 中国科学:数学(英文版)
关键词 FRACTURE PLANE stress STRAIN GRADIENT plasticity. fracture plane stress strain gradient plasticity
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参考文献7

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