Investigation of the Dynamic Pure-Mode-II Fracture Initiation and Propagation of Rock during Four-Point Bending Test Using Hybrid Finite–Discrete Element Method

Yushan Song, Yuqing Fan, Huaming An (), Hongyuan Liu and Shunchuan Wu
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Yushan Song: Faulty of Public Security and Emergency Management, Kunming University of Science and Technology, Kunming 650093, China
Yuqing Fan: School of Mining Engineering, Guizhou University of Engineering Science, Bijie 551700, China
Huaming An: Faulty of Public Security and Emergency Management, Kunming University of Science and Technology, Kunming 650093, China
Hongyuan Liu: College of Science and Engineering, University of Tasmania, Hobart, TAS 7001, Australia
Shunchuan Wu: Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, China

Sustainability, 2022, vol. 14, issue 16, 1-23

Abstract: A hybrid finite–discrete element method (FDEM) is proposed to investigate dynamic pure-mode-II fracture behaviors. The transition of continuum to discontinuum was applied to the FDEM through the use of three fracture modes, so that the whole fracture process could be modeled naturally. The FDEM was then employed to model the dynamic pure-mode-II fracture behavior of rock during a four-point bending test with a prefabricated notch. The results showed that the fracture initiated from the tip of the prefabricated notch under a relatively lower loading rate, i.e., 1 m/s and 5 m/s. However, when the loading rate reached higher levels, i.e., 10 m/s and 50 m/s, the prefabricated notch played a small role in the fracture patterns. Under these conditions, the fracture initiated from the center of the beam bottom or the stress concentration vicinity, instead of the tip of the prefabricated notch. Regardless of the loading rate, the obtained force-loading displacement curves showed a typical brittle material failure process. Additionally, by incorporating the empirical correlation between the static and dynamic strengths obtained from the dynamic rock fracture tests, the hybrid finite–discrete element method could effectively reflect the impact of the loading rate on the strength of the rock. To conclude, the hybrid finite–discrete element method is an effective instrument to investigate the fracture initiation and propagation of rock, since it can both naturally simulate the process of rock fracture and capture the effect of the loading rate on the rock behaviors.

Keywords: rock mechanics; dynamic fracture; crack propagation; pure mode II; four-point bending test; FDEM (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
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