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Impact-induced fragmentation of coral reef limestone based on fractal theory

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Abstract

The reef limestone specimens selected in this experiment can be divided into four types according to their morphologies: strongly-cemented compact-type (BM-type), weakly-cemented compact-type (M-type), weakly-cemented loose-type (BS-type), and strongly-cemented loose-type (S-type). Based on the split Hopkinson pressure bar (SHPB) test, the aims of this study were to investigate the dynamic mechanical response and energy dissipation characteristics of reef limestone under impact loads and discuss the relationships of the dynamic fragmentation fractal characteristics with the strain rate and energy dissipation of reef limestone. The results indicated that the length of the compaction section for compact-type reef limestone compared with that of the loose section, which is more significant in the case of decreasing strain rate. The fractal dimension is linearly positively correlated with the strain rate; the fractal dimension of compact-type reef limestone is lower than that of loose-type reef limestone; meanwhile, the dynamic fractal dimension of compact-type reef limestone is more sensitive to the strain rate. The fragmentation fractal dimension of reef limestone under impact loads shows exponential growth with the increase in dynamic strength. The fragmentation fractal dimension of reef limestone is linearly, and positively, correlated with energy dissipation density.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The authors would like to thank the editors and reviewer for their careful review of this paper.

Funding

The research was supported by the National Natural Science Foundation of China (Grant No. 51979208), Sanya Science and Education Innovation Park of Wuhan University of Technology (Grant No. 2022KF0025), the Natural Science Foundation of Hainan Province (No. 521CXTD444), the Hainan Provincial Joint Project of Sanya Yazhou Bay Science and Technology City (Grant No. 2021JJLH0068).

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YL: conceptualization, methodology, visualization, formal analysis, funding acquisition. YL: data curation, methodology, writing—original draft. HL: conceptualization, methodology, visualization. YG (Corresponding author): writing—original draft, supervision, data curation, investigation. HG: Formal analysis, writing—review and editing, funding acquisition.

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Correspondence to Yongxiang Ge.

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Luo, Y., Li, Y., Lin, H. et al. Impact-induced fragmentation of coral reef limestone based on fractal theory. Mar Geophys Res 45, 7 (2024). https://doi.org/10.1007/s11001-023-09539-8

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  • DOI: https://doi.org/10.1007/s11001-023-09539-8

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