Investigation of granite fracture under three-point bending using the meso-modeling approach considering the random distribution of poly-crystals

Li, Xiaojing; Bai, Yifan; He, Peijie; Yue, Xiaolei; Zhang, Yan

doi:10.1007/s12517-020-05784-y

Cited by 2 publications

(1 citation statement)

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“…On the basis of the numerical model hypothesis, there are three common categories of numerical method: continuum-based methods, discontinuum-based methods, and hybrid or combination continuum-discontinuum-based methods [17][18][19]. Currently, many continuum methods, e.g., the finite element method (FEM) [20], the finite difference method (FDM) [21], the boundary element method (BEM) [22], the scaled boundary finite element method (SBFEM) [23], and the extended finite element method (XFEM) [24], have been employed to simulate geomaterial behaviors under different loading rates. The numerical models based on the discontinuum method consider complexes made up of discrete parts that are held together by cementation or cohesive forces [25].…”

Section: Introductionmentioning

confidence: 99%

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

Song

Fan

et al. 2022

Sustainability

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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.

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