Continuous-discontinuous cellular automaton method for cohesive crack growth in rock. (1st February 2018)

• Record Type: Journal Article
• Authors: Yan, Fei; Feng, Xia-Ting; Lv, Jia-He; Pan, Peng-Zhi; Li, Shao-Jun
• Is Part Of: Engineering fracture mechanics. Volume 188(2018)
• Page Start: 361
• Page End: 380
• Publication Date: 2018-02-01
• Subjects: Continuous-discontinuous cellular automaton method -- Cohesive cracks -- Rock fractures -- Discontinuous approximation -- Alternative near-tip function; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2017.09.007
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: Nonsingular enrichment functions are proposed to represent cohesive stresses. An adaptive crack tip polar coordinate improvement is proposed. A cohesive model under loading and unloading for rock mechanics is developed. A discontinuous cellular automation model for cohesive crack is developed. Abstract: A group of nonsingular enrichment functions is proposed for an exact representation of the cohesive stresses, which are consistent with a nonsingular asymptotic stress field around a crack tip. An improvement in the adaptive crack tip polar coordinate is proposed for treating the local polar coordinate error. Finally, a discontinuous cellular automation model was developed, including a cell model, cell state, and updating rules. Combined with these developments and the cohesive rock model, a continuous-discontinuous cellular automaton method (CDCA) for a cohesive crack analysis is proposed, through which the calculation is only limited to the cell locality without re-meshing, and therefore, no assembled global stiffness matrix is required. Numerical simulations reveal the accuracy and efficiency of the presented method.