岩体的三维弹粘塑性阶谱块体单元法

提出了岩体的三维弹粘塑性阶谱块体单元法。首先，定义各块体单元的最小包围盒为其覆盖单元，在覆盖单元上采用阶谱形函数和弹粘塑性本构模型；然后，根据虚功原理，推导了块体系统的整体平衡方程；最后，就其中的数值积分和边界条件处理等问题进行了探讨。运用所提方法分析了两个简单算例，结果与解析解和有限单元法数值解很吻合，从而验证了其正确性和有效性。所提方法具有前处理简单、计算精度高等特点，适合于岩体变形与稳定分析。

3D ELASTO-VISCO-PLASTIC HIERARCHICAL BLOCK ELEMENT METHOD FOR ROCK MASS

A three-dimensional elasto-visco-plastic hierarchical block element method for rock mass is developed. First, the three-dimensional hierarchical shape functions and the elasto-visco-plastic constitutive model are adopted in the covering element of each block element. Then, the equilibrium equations of rock masses are deduced, based on the virtual work principle. Finally, the numerical integration schemes and the treatment of boundary conditions are discussed. Two numerical examples are studied. The results are in good agreement with the analytical and FEM solutions, and the new method is proved to be accurate and efficient. The proposed method can be widely used in deformation and stability analysis for rock mass due to the simple pre-processing and high accuracy.