【摘要】 扩展有限元法(XFEM)是一种求解不连续问题的数值方法。它继承了常规有限元法(CFEM)的所有优点,在模拟裂纹扩展、界面、复杂流体等不连续问题时特别有效,近十多年得到了快速发展。介绍了XFEM的基本原理,给出了进行混凝土裂纹扩展分析的方法。利用XFEM模拟混凝土重力坝裂纹扩展,通过对比有、无裂纹情况下的重力坝应力分布,分析裂纹存在对重力坝应力场分布的影响;分析裂纹扩展受网格疏密程度的影响;计算在不同岩基弹性模量下裂纹的扩展方向。更多还原

【Abstract】 Extended finite element method(XFEM) is a numerical solution for analyzing discontimuity problem.It inherited all the advantages of the conventional finite element method(CFEM),in the simulation of crack extension,interface,complex fluid and other discontinuities are particularly effective,in the past decade it has been rapid development.The basic theory of XFEM in introduced and the method of analyzing concrete fracture is presented.The XFEM is utilized to simulate the crack propagation in concrete gravity dam.By the contrast of stress distribution under no crack and crack circumstance of gravity dam the discipline of stress field distribution is analyzed;It is also used for influence of mesh density to crack propagation and is calculated the crack propagation direction in batholith elastic modulus.更多还原