单向轴压条件下内置椭圆三维裂纹扩展无网格方法的研究

发布时间：2018-05-13 06:53

本文选题：单向轴压 + 内置三维裂纹　；参考：《应用力学学报》2016年03期

【摘要】：根据三维裂纹前沿局部坐标系中主法平面内的周向应力计算公式,可以确定主法平面内的最大周向应力σθ,并由最大周向拉应力裂纹破裂准则确定裂隙岩体的破裂载荷和裂纹的破裂方向以及破裂步长。在三维无网格方法的节点的影响域中,选择合适的节点密度,以确保计算精度,并对单向轴压条件下内置三维裂纹扩展进行了数值模拟研究。根据数值计算结果,分析了破裂载荷、裂纹扩展角和扩展步长,揭示了内置三维裂纹的破裂过程,结合插值法清楚地展示了三维裂纹的破裂曲面形态。研究结果表明,针对三维裂纹破裂过程和破裂曲面形态无网格方法数值计算结果与FLAC-3D计算结果和试验结果吻合较好。
[Abstract]:According to the calculation formula of circumferential stress in the principal normal plane in the local coordinate system of three dimensional crack front, The maximum circumferential stress 蟽胃 in the main normal plane can be determined, and the fracture load, crack direction and crack step size of fractured rock mass can be determined by the maximum circumferential tensile stress crack rupture criterion. In the influence domain of three-dimensional meshless method, the appropriate node density is selected to ensure the accuracy of the calculation, and the numerical simulation of three-dimensional crack propagation under unidirectional axial compression is carried out. According to the numerical results, the fracture load, crack propagation angle and propagation step are analyzed, and the fracture process of the internal three-dimensional crack is revealed, and the shape of the crack surface is clearly shown by the interpolation method. The results show that the numerical results obtained by the meshless method are in good agreement with the FLAC-3D results and the experimental results.
【作者单位】：山东大学土建与水利学院;
【基金】：国家自然科学基金(51279095;51379114;51139004)
【分类号】：O346.1

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