Abstract
The meso-structure of rock influences its macro-mechanical properties. In traditional digital image processing, the filter operator causes fuzzy edges. There is a lack of image processing methods which can conveniently, and quickly, obtain a continuous, smooth, and closed curve with a clear boundary. In this study, a Chan-Vese (C-V) module of the partial differential equation (PDE) method was used to realise the three-phase segmentation of granite. Then, the AUTOLISP language was adopted to allow automatic line connection of the discrete boundary points in the digital image. The meso-scale model was implemented into numerical calculations to explore the evolution of a meso-crack. The crack originated from the stress concentration resulting from the uncoordinated deformation of the non-homogeneous materials under a Brazilian splitting test. The crack first appeared inside the materials with weak mechanical properties along the main diagonal of specimens under uniaxial compression. A stress concentration first appeared on the quartz-mica contact surface under triaxial compression. The tensile stress enveloped the weaker mica and feldspar as the load increased.
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Acknowledgements
We gratefully acknowledge financial support from the National Science Foundation of China under Grant Nos. 41472270 and 41702322. The work in this paper was also supported by the Focus on Research and Development Plan in Shandong Province (Grant Nos. 2017GSF216010 and 2017GSF16109).
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Zhang, L., Cong, Y., Ma, S. et al. Exploration of the Mesoscopic Failure Process of Granite Based on a PDE Method. KSCE J Civ Eng 24, 2257–2267 (2020). https://doi.org/10.1007/s12205-020-5026-7
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DOI: https://doi.org/10.1007/s12205-020-5026-7