An edge crack with cohesive zone

1Selivanov, MF
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2019, 3:46-54
Section: Mechanics
Language: Ukrainian

The present paper is focused on an edge crack in a halfinfinite plane under tension by uniform remote stresses normal to the crack plane. An iterative procedure is built to solve the problem in the frame of the cohesive zone model with a nonuniform traction–separation law. The procedure allows one to account for the condition of smooth crack closure. At each iteration, the singular integral equation with generalized Cauchy kernel is solved by the collocation method without regularization. The numerical example is built meeting the limiting equilibrium condition for the power traction–separation law with a hardening segment.

Keywords: cohesive zone model, condition of smooth crack closure, edge crack, integral equation with generalized Cauchy kernel

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