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Open AccessArticle

A Particle-Based Cohesive Crack Model for Brittle Fracture Problems

GAC R&D Center, Guangzhou Automobile Group CO., LTD, Guangzhou 511434, China
School of Engineering, Western Sydney University, Sydney, NSW 2751, Australia
School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China
Authors to whom correspondence should be addressed.
Materials 2020, 13(16), 3573;
Received: 7 July 2020 / Revised: 2 August 2020 / Accepted: 5 August 2020 / Published: 13 August 2020
(This article belongs to the Special Issue Recent Advances in Failure Modeling of Solids and Structures)
Numerical simulations of the fracture process are challenging, and the discrete element (DE) method is an effective means to model fracture problems. The DE model comprises the DE connective model and DE contact model, where the former is used for the representation of isotropic solids before cracks initiate, while the latter is employed to represent particulate materials after cracks propagate. In this paper, a DE particle-based cohesive crack model is developed to model the mixed-mode fracture process of brittle materials, aiming to simulate the material transition from a solid phase to a particulate phase. Because of the particle characteristics of the DE connective model, the cohesive crack model is constructed at inter-particle bonds in the connective stage of the model at a microscale. A potential formulation is adopted by the cohesive zone method, and a linear softening relation is employed by the traction–separation law upon fracture initiation. This particle-based cohesive crack model bridges the microscopic gap between the connective model and the contact model and, thus, is suitable to describe the material separation process from solids to particulates. The proposed model is validated by a number of standard fracture tests, and numerical results are found to be in good agreement with the analytical solutions. A notched concrete beam subjected to an impact loading is modeled, and the impact force obtained from the numerical modeling agrees better with the experimental result than that obtained from the finite element method. View Full-Text
Keywords: discrete element; cohesive crack model; brittle fracture; mixed-mode fracture discrete element; cohesive crack model; brittle fracture; mixed-mode fracture
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Chen, H.; Zhang, Y.X.; Zhu, L.; Xiong, F.; Liu, J.; Gao, W. A Particle-Based Cohesive Crack Model for Brittle Fracture Problems. Materials 2020, 13, 3573.

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