A Coupling of Three-Dimensional Finite Element Method and Discontinuous Deformation Analysis Based on Complementary Theory

摘要

The continuous and discontinuous deformation analysis is essential for the stability analysis of the anchor bar-surrounding rock masses system. To eliminate the open-close iteration and the penalty factor of the 3D-DDA, the CDDA is proposed to extend into the three-dimensional block system. Then a novel simulation approach, the coupling method of 3D CDDA-FEM, is demonstrated, which combines the specific benefits of two numerical methods: the contacts between blocks are described by 3D-CDDA, while the displacement field inside block is described by FEM. Two numerical examples verify that the new coupling method is feasible and the displacement solution is more accurate. Taking different initial stress conditions of anchor bars into account, the stability analysis of anchor bar-surrounding rock masses system demonstrates that the appropriate installation and the optimal initial stress of anchor bar efficiently improve the stability of surrounding rock masses system of underground chamber.