On the development of the zone of weakened bonds that precedes the initiation of Cottrell's crack

1Kaminsky, AA, 2Kipnis, LA, 2Polischuk, TV
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
2Pavlo Tychyna Uman State Pedagogical University
Dopov. Nac. akad. nauk Ukr. 2018, 5:28-35
https://doi.org/10.15407/dopovidi2018.05.028
Section: Mechanics
Language: Ukrainian
Abstract: 

The length of the small-scale narrow zone of weakened bonds (prefracture zone) at the point of intersection of the lines of microplastic deformation (slip lines) in the elastic body is found. The prefracture zone is modeled by the line of rupture of a normal displacement. The development of this zone precedes the crack initiation by Cottrell's mechanism. The exact solution of the corresponding problem of the linear theory of elasticity is constructed by the Wiener—Hopf method.

Keywords: Cottrell's mechanism, crack initiation, prefracture zone, Wiener—Hopf method
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