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Distribution function of dislocations and condition of finite stress for the dislocation-free zone model of fracture

✍ Scribed by S.-J. Chang; S. M. Ohr

Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
145 KB
Volume
23
Category
Article
ISSN
1573-2673

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✦ Synopsis

Recent experimental observations by electron microscopy have shown that a dislocation-free zone (DFZ) is located between the crack tip and a linear distribution of dislocations along the crack plane . The results are generally in support of the elastic-plastic model of fracture with an elastic core at the crack tip proposed by Thomson [3] and Weertman . In order to investigate the role of the dislocation-free zone in the crack tip processes, we have extended the BCS theory of fracture to treat the problem of elastic-plastic cracks in terms of an equilibrium distribution of dislocations [6,7,8]~ A singular integral equation was formulated and the distribution function of the dislocations was obtained in terms of elliptic integrals.

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The effect of crack blunting on mode III fracture is investigated using a discrete dislocation approach. The blunt crack is simulated by a small sharp crack emanating from a semi-elliptic hole. It is found that the applied stress intensity factor for dislocation emission increases with the number of