Acta Mechanica Sinica

, Volume 10, Issue 3, pp 250–259 | Cite as

The near tip stress and strain fields in cracked single crystals

  • Zhang Yongwei
  • Wang Tzuchiang


The numerical analyses of stationary mathematically sharp Mode I crack in FCC and BCC crystals with elastic-ideally plastic (EIP) and fast hardening saturation (FHS) law are carried out in the present paper. From the calculated results, it is shown that: for the cases of small strain, EIP crystal cracks, the features of concentrated deformation patterns and the stress state in near-crack tip deformation fields are identical to the earlier analytical solutions, but along the angular sector boundaries, there exist narrow complex stress zones. The overall characteristics of deformation patterns for the cases of EIP and FHS are similar. The behaviours of crack tip opening can be characterized by crack-tip-opening-displacement (CTOD). For the case of FHS, finite deformation BCC crystal crack, our calculations are qualitatively in agreement with recent experimental observations.

Key Words

single crystal crack stress field finite element 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1994

Authors and Affiliations

  • Zhang Yongwei
    • 1
  • Wang Tzuchiang
    • 1
  1. 1.LNM, Institute of MechanicsChinese Academy of SciencesBeijingChina

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