关键词: 数值流形法, 数学覆盖, 物理覆盖, 多裂纹扩展, Koyna重力坝, 漫顶高度

Abstract: The traditional numerical manifold method (NMM) is restricted to the cases of no structure damage when dealing with the discontinuous deformation problems. To overcome the limitation, a high-order NMM for modelling structure damage is further developed by adding the enriched displacement functions for modeling the stress singularity to the physical patches around the crack tips. Then it is applied to the simulation of the fracture process of the gravity dam from continuum to discontinuum. Firstly, sensitivity analysis of the gravity dam with a single crack is conducted; it is found that the crack growth paths are nearly the same as the results in the references, under the conditions of different crack growth lengths or mesh densities. Based on this, the analysis of the multiple cracks growth is conducted; the results indicate that only one dominant crack propagates, which again is quite the same as the result in the references. At last, it is used for the crack growth analysis of Koyna gravity dam, in which the changes of crack growth paths are studied by setting different overflow heights. The results show that the crack growth paths tend to propagate in the horizontal direction and the ability of the resistance to failure of the dam is gradually diminishing. In general, NMM has the good numerical stability and robustness in treating the real engineering problems.

Key words: numerical manifold method, mathematical cover, physical cover, multiple cracks growth, Koyna gravity dam, overflow height