Investigation of granite fracture under three-point bending using the meso-modeling approach considering the random dist
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ORIGINAL PAPER
Investigation of granite fracture under three-point bending using the meso-modeling approach considering the random distribution of poly-crystals Xiaojing Li 1,2 & Yifan Bai 1 & Peijie He 1 & Xiaolei Yue 1 & Yan Zhang 1 Received: 28 September 2019 / Accepted: 29 July 2020 # Saudi Society for Geosciences 2020
Abstract A three-dimensional meso-modeling approach based on Weibull distribution for rock is proposed to study the fracture behavior of rock. And the macro-meso model of granite with random poly-crystals is developed for numerical studies. By controlling the kinetic energy of the model system and combining the erosion criterion, a method for accelerating the calculation of quasi-static problems is presented. Through the comparative analysis of numerical simulation and experimental test, the applicability and reliability of the modeling method in the study of spatial heterogeneity of rock materials are verified. Using finite element analysis, the fracture characteristics of granite at different loading rates are obtained. The effect of loading rate includes the following aspects: (1) the tensile strength and fracture toughness increase with the increase of loading rate; (2) the dynamic damage evolution process varies greatly under different loading speeds; (3) the increase of loading rate accelerates the crack propagation, and some cracks that originally propagate along the poly-crystals surface will propagate along the block. These studies offer a meso-scale strategy to study the fracture growth of rock. Keywords Modeling method . Poly-crystals . Damage . Fracture characteristic . Crack propagation
Introduction Rock is a typical heterogeneous material, which has properties of elasticity, brittleness, plasticity, viscosity, or combined ones (Lan et al. 2010). The mechanical properties of rock are affected by initial defects such as joints, fissures, and micro-cracks (Nicksiar and Martin 2014; Xu and Yang 2017; Chen and Qiao 2018; Lang et al. 2019). Research on the mechanical behavior of rock can optimize engineering design and economic performance in the fields of rock engineering, petroleum or gas production, and nuclear waste management (Sun et al. 2019). Responsible Editor: Zeynal Abiddin Erguler * Xiaojing Li [email protected] 1
School of Civil Engineering, Shandong Jianzhu University, Jinan 250101, China
2
State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China
It is generally believed that the main failure of rock is fracture (Li et al. 2014). The fracture mode is similar to that of concrete (Vishalakshi et al. 2018; Ince and Çetin 2018; Li et al. 2018a). These fractures are the result of continuous expansion of initial defects. In order to describe this expansion, the concept of damage is introduced (Xie et al. 2011; Zhou et al. 2008). The irreversible damage of fracture and its consequences have led to the study of the mechanism of fracture initiation and propagation (Eftekhari et al. 201
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