A model of crack with cohesive zone for a mixed mode of fracture

1Selivanov, MF
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2015, 7:62-69
https://doi.org/10.15407/dopovidi2015.07.062
Section: Mechanics
Language: Ukrainian
Abstract: 

The loaded at infinity plate with a central mixed-mode crack is considered. For the piecewise-linear distribution law for cohesive traction, a solution for separations is given and is included in the cohesive zone model with multiple cohesive zone fronts. The governing relationships for critical state parameters are illustrated by numerical solutions for two combinations of the values of tensile and shear external forces.

Keywords: cohesive zone model, complex cohesive zone, mixed-mode fracture crack, traction-separation law
References: 
  1. Park K., Paulino G.H. Appl. Mech. Reviews, 2011, 64, No 6: 060802. https://doi.org/10.1115/1.4023110
  2. Chew H.B., Hong S., Kim K.-S. J. Mech. Phys. Solids, 2009, 57: 1357–1373. https://doi.org/10.1016/j.jmps.2009.04.001
  3. Hui C.Y., Ruina A., Long R., Jagota A. J. Adhesion, 2011, 87: 1–52. https://doi.org/10.1080/00218464.2011.538315
  4. Thouless M.D., Sills R.B. Eng. Fract. Mech., 2013, 109: 353–368. https://doi.org/10.1016/j.engfracmech.2012.06.006
  5. Becker W., Gross D. Int. J. Fract., 1988, 37: 163–170. https://doi.org/10.1007/BF00045861
  6. Jin Z.-H., Sun C.T. Eng. Fract. Mech., 2005, 72: 1805–1817. https://doi.org/10.1016/j.engfracmech.2004.09.011