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Open AccessArticle

A Numerical Study on the Crack Development Behavior of Rock-Like Material Containing Two Intersecting Flaws

1
School of Resources Environment and Safety Engineering, University of South China, Hengyang 421000, China
2
School of Resources and Safety Engineering, Central South University, Changsha 410000, China
*
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1223; https://doi.org/10.3390/math7121223
Received: 31 October 2019 / Revised: 3 December 2019 / Accepted: 10 December 2019 / Published: 11 December 2019
(This article belongs to the Special Issue Mathematical Physics II)
It is quite often that rocks contain intersecting cracks. Therefore, crack behavior cannot be completely studied by only considering several isolated, single flaws. To investigate the crack behavior of rock or rock-like material containing intersecting flaws under uniaxial loading, numerical simulations were carried out using parallel bonded-particle models containing two intersecting flaws with different inclination angles (varying β) and different intersection angles (varying αα). The crack propagation processes are analyzed and two typical patterns of linkage are observed between two intersecting flaws: (1) One-tip-linkage that contains three subtypes: Coalescence position near the tip; coalescence position at the flaw, but far away from the tip; coalescence position outside the flaw at a certain distance from the tip; and (2) two-tip-linkage with two subtypes: Straight linkage and arc linkage. The geometries of flaws influence the coalescence type. Moreover, the effects of intersection angle α and inclination angle β on the peak stress, the stress of crack initiation, and the stress of crack coalescence are also investigated in detail. View Full-Text
Keywords: crack growth behavior; particle model; intersecting flaws; uniaxial compression crack growth behavior; particle model; intersecting flaws; uniaxial compression
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MDPI and ACS Style

Dai, B.; Chen, Y.; Zhao, G.; Liang, W.; Wu, H. A Numerical Study on the Crack Development Behavior of Rock-Like Material Containing Two Intersecting Flaws. Mathematics 2019, 7, 1223.

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