Automated numerical simulation of the propagation of multiple cracks in a finite plane using the distributed dislocation method
Comptes Rendus. Mécanique, Volume 347 (2019) no. 3, pp. 191-206.

In this paper, an automated numerical simulation of the propagation of multiple cracks in a finite elastic plane by the distributed dislocation method is developed. Firstly, a solution to the problem of a two-dimensional finite elastic plane containing multiple straight cracks and kinked cracks is presented. A serial of distributed dislocations in an infinite plane are used to model all the cracks and the boundary of the finite plane. The mixed-mode stress intensity factors of all the cracks can be calculated by solving a system of singular integral equations with the Gauss–Chebyshev quadrature method. Based on the solution, the propagation of multiple cracks is modeled according to the maximum circumferential stress criterion and Paris' law. Several numerical examples are presented to show the accuracy and efficiency of this method for the simulation of multiple cracks in a 2D finite plane.

Accepted:
Published online:
DOI: 10.1016/j.crme.2019.01.004
Keywords: Distributed dislocation, Multiple cracks, Finite plane, Fatigue propagation

Jiong Zhang 1; Zhan Qu 2; Weidong Liu 3; Liankun Wang 1

1 School of Civil Engineering and Architecture, Wuyi University, 22 Dongcheng Village, Jiangmen 529020, PR China
2 School of Aeronautics, Northwestern Polytechnical University, 127 Youyi West Road, Xi'an 710072, PR China
3 College of Energy and Electrical Engineering, Hohai University, No. 8 Fochengxi Road, Nanjing 211100, PR China
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Jiong Zhang; Zhan Qu; Weidong Liu; Liankun Wang. Automated numerical simulation of the propagation of multiple cracks in a finite plane using the distributed dislocation method. Comptes Rendus. Mécanique, Volume 347 (2019) no. 3, pp. 191-206. doi : 10.1016/j.crme.2019.01.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.01.004/

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