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扩展有限元法是针对不连续问题提出的一种改进的有限元法,由于其计算网格独立于结构内不连续面,该方法十分适用于处理不连续问题,因此,该方法需能将不连续面和计算网格的几何信息转化为计算分析所需的单元拓扑信息的前处理。针对扩展有限元法在不连续岩体问题中的应用,系统地研究了二维扩展有限元解决不连续问题时单元拓扑信息生成等前处理问题,给出了单元拓扑信息自动生成算法,将不连续面和计算网格几何信息转化为计算所需要的单元拓扑信息,并在此基础上开发了不连续岩体二维扩展有限元法前处理程序。结果表明该算法和程序的适用性和正确性,同时还表明扩展有限元法在不连续岩体问题求解中有较好的应用前景。
The extended finite element method is an improved finite element method proposed for discontinuous problems. Because its computational grid is independent of discontinuities in the structure, this method is very suitable for dealing with discontinuous problems. Therefore, this method can not The geometric information of the continuum and the computational grid is transformed into the preprocessing of the unit topology information required for computational analysis. Aiming at the application of extended finite element method to discontinuous rock mass problems, this paper systematically studies the pre-processing problems of element topology information generation when two-dimensional extended finite element method is used to solve discontinuity problems, and presents an algorithm of generating topology information automatically. The geometrical information of the continuous surface and the computational grid is transformed into the element topology information needed for the calculation. On this basis, a two-dimensional extended finite element method preprocessing program for the discontinuous rock mass is developed. The results show the applicability and correctness of the proposed algorithm and procedure, and also show that the extended finite element method has a good application prospect in solving discontinuous rock mass problems.