Comparison of the crack opening displacement determination algorithms for a cohesive crack

TitleComparison of the crack opening displacement determination algorithms for a cohesive crack
Publication TypeJournal Article
Year of Publication2017
AuthorsSelivanov, MF, Chornoivan, Yu.O
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published7/2017

Two algorithms are given to determine the cohesive crack opening. These algorithms take into account the singularity of the crack opening derivative at the crack tips. The first algorithm is based on the condition of crack closing smoothness. The second algorithm is an iterative, method whose implementation leads to a linear system for the displacement densities at collocation points on each step. This algorithm is more effective for some combinations of the problem parameters because of the approximate determination of the cohesive zone length.

Keywordsalgorithm, cohesive crack, fracture, isotropic body, opening displacement
  1. Erdogan, F., Gupta, G. D. & Cook, T. S. (1973). Numerical solution of singular integral equations. In G.C. Sih (Ed.). Methods of analysis and solutions of crack problems. Leyden: Noordhoff. Mechanics of Fracture. Vol. 1, pp. 368-425.
  2. Gross, D. & Heimer, ST. (1993). Crack closure and crack path prediction for curved cracks under thermal load. Eng. Fract. Mech., 46, pp. 633-640.
  3. Theocaris, P. S. & Ioakimidis N. I. (1977). Numerical integration methods for the solution of singular integral equations. Quart. Appl. Math., 35, pp. 173-183.
  4. Selivanov, M. F. (2014). Determination of the safe crack length and cohesive traction distribution using the model of a crack with prefacture zone. Dopov. Nac. akad. nauk Ukr., No. 11, pp. 58-64.