Cottrell Crack Nucleation Condition

The length of the small-scale narrow zone of weakened bonds (fracture process zone) at the point of intersection of lines of microplastic deformation (slip lines) in an elastic body is determined. The fracture process zone is modeled by a line of discontinuity of normal displacement. The development...

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Bibliographic Details
Published in:International applied mechanics 2018-11, Vol.54 (6), p.642-652
Main Authors: Kaminsky, A. A., Kipnis, L. A., Polishchuk, T. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Bonding strength
Classical Mechanics
Crack initiation
Elastic bodies
Elastic deformation
Fracture mechanics
Nucleation
Physics
Physics and Astronomy
Wiener-Hopf method
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Summary:The length of the small-scale narrow zone of weakened bonds (fracture process zone) at the point of intersection of lines of microplastic deformation (slip lines) in an elastic body is determined. The fracture process zone is modeled by a line of discontinuity of normal displacement. The development of this zone precedes Cottrell crack nucleation. The crack nucleation condition is established. The Wiener–Hopf method is used to obtain the exact solution of the associated elastic problem.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-018-0918-7