The cohesive zone model with a non-uniform traction-separation law for a system of several collinear cracks

1Selivanov, MF, 1Chornoivan, Yu.O
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 9:35-41
Section: Mechanics
Language: Ukrainian

The cohesive zone models are widely used for assessments of the critical loading level on structures. Here, an infinite plate with mode I collinear cracks is studied under a uniform tension applied at infinity. A proposed technique is applied to solve the problem basing on the cohesive crack model. The solution for the crack opening is found for a non-uniform traction-separation law with regard for the condition of smooth closure of the crack lips. Numerical results are presented for several values of the traction-separation law shape parameter. Some illustrations are given for the dependence of the crack opening on the external loading. It is found that its critical level is almost independent of the shape parameter.

Keywords: cohesive zone model, collinear cracks, finite stress condition, fracture, shape parameters, traction—separation law
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