Problem of shear crack with dislocation-free zones
Technical Report
·
OSTI ID:6763853
Recent experimental observations by electron microscopy have shown a dislocation-free zone exists between the crack tip and a linear pile-up of dislocations in the plastic zone. A singular integral equation is formulated to describe the equilibrium configuration of the dislocations. The distribution function of the dislocations and the stress intensity factor at the elastic crack tip are obtained in terms of elliptic integrals of the first and the third kinds. It is found that the stress intensity factor is approximately a function of the length of the dislocation-free zone whereas the externally applied stress approximately determines the length of the plastic zone. The results of the calculations indicate the interaction between the crack and the dislocations in the plastic zone and show the effect of stress relaxation within the dislocation-free zone due to the emission of the dislocations from the crack tip into the plastic zone.
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- DOE Contract Number:
- W-7405-ENG-26
- OSTI ID:
- 6763853
- Report Number(s):
- ORNL/CSD-75
- Country of Publication:
- United States
- Language:
- English
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