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Exploration of the Mesoscopic Failure Process of Granite Based on a PDE Method
Liming Zhang,Yu Cong,Shaoqiong Ma,Baocheng Feng 대한토목학회 2020 KSCE Journal of Civil Engineering Vol.24 No.8
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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