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Abbreviations
- t i :
-
Time (s)
- n :
-
Number of cracks
- a i1, a i2,…, a in :
-
The actual lengths of each of n cracks appearing on an observation surface at a given time ti (mm)
- l i1, l i2,…, l in :
-
The effective length of each of n cracks appearing on an observation surface at a given time ti (mm)
- l ij :
-
The effective length of crack j appearing on an observation surface at a given time ti (mm)
- l i :
-
The total effective length of surface cracks appearing on an observation surface at a given time ti (mm)
- v i :
-
The average rate of propagation of cracks at a given time ti (mm/s)
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Acknowledgements
This research was supported by the National Natural Science Foundation of China (Grant no. 51474040), the Science and Technology Research Project of Hebei Province (Grant no. QN2017031), the Basic and Frontier Research Projects of Chongqing (cstc2016jcyjA0117), the Key Research Development Project of Hebei Province (Grant no. 18273815D), and the Fundamental Research Funds for the Central Universities (Grant no. 106112017CDJQJ248825). In addition, the authors would like to express their sincere gratitude to the editor and the anonymous reviewers for their valuable comments, which have greatly improved this paper.
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Cheng, L., Xu, J., Peng, S. et al. Mesoscopic Crack Initiation, Propagation, and Coalescence Mechanisms of Coal Under Shear Loading. Rock Mech Rock Eng 52, 1979–1992 (2019). https://doi.org/10.1007/s00603-018-1668-x
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DOI: https://doi.org/10.1007/s00603-018-1668-x