关键词: 扩展有限元, 混凝土, 裂纹扩展, 数值模拟

Abstract: Extended finite element method（XFEM） is a new and effective method for analyzing discontinuity problem arisen in recent few years, specially the problem of fracture. The basic theory of XFEM is introduced and the method of analyzing concrete fracture and crack growth is presented. Finally, the fracturing process of two samples including initial cracks and the crack growth process of the concrete gravity dam are simulated by XFEM. The discipline of displacement and stress field distribution of the samples are analyzed. Comparing with classical finite element method, the crack growth of concrete can be simulated by XFEM without making the crack surface associated to the mesh, without setting dense mesh near the crack tip and without re-meshing after crack growth. Thus the cumbersome works and disadvantages in fracturing analysis are avoided by the application of XFEM. The unique advantage of XFEM in concrete fracturing analysis is displayed.

Key words: XFEM （ Extended Finite Element Method） , concrete , crack growth , numerical simulation ;