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Numerical Simulation of different fracture pattern in diametrically loaded discs of rock material by Manifold Method

机译:岩石材料径向加载圆盘中不同破裂方式的流形数值模拟

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摘要

To investigate the influence of a tensile stress gradient (B. Van de Steen, 2005) on fracture initiation and fracture growth in rock material, a configuration, consisting of a diametrically loaded disc with a hole on the diameter perpendicular to the loaded diameter is used. Depending on the diameter and the eccentricity of the hole, the disc splits along the loaded diameter or macro-fracture starts at the hole, However the tensile stresses at the top and the bottom of the hole are for nearly all cases considerably higher than the stresses along the loaded diameter and than the macroscopic tensile strength of the material, determined by conventional Brazilian test. Manifold Method (G. H. Shi, 1991) provides a unified framework for solving problems with both continuous and discontinues media, In this paper, by introducing a criterion of crack initiation and propagation, the second order manifold method is used to simulate the particular fracturing behavior, and the result has greatly consistence with experiment, which shows the different fracture pattern in diametrically loaded discs of rock material.
机译:为了研究拉伸应力梯度(B. Van de Steen,2005年)对岩石材料中裂缝开始和裂缝增长的影响,使用了一种结构,该结构由直径加载的圆盘组成,该圆盘的直径垂直于加载的直径。根据孔的直径和偏心率,圆盘会沿着加载的直径裂开,或者宏观断裂始于孔,但是在几乎所有情况下,孔顶部和底部的拉应力都大大高于应力沿加载直径,然后通过常规巴西试验确定的材料的宏观拉伸强度。流形方法(GH Shi,1991)为解决连续介质和不连续介质的问题提供了一个统一的框架。在本文中,通过引入裂纹萌生和扩展的准则,二阶流形方法用于模拟特定的压裂行为,结果与实验结果非常吻合,表明在直径加载的岩石材料圆盘中不同的断裂方式。

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