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不连续岩体扩展有限元法的前处理
引用本文:万林林,余天堂.不连续岩体扩展有限元法的前处理[J].岩土力学,2011,32(Z1):772-0778.
作者姓名:万林林  余天堂
作者单位:河海大学力学与材料学院
基金项目:国家973计划(No.2007CB714104)
摘    要: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。

关 键 词:不连续岩体  前处理  扩展有限元法  拓扑信息自动生成系统
收稿时间:2011-01-10

Preprocessing of extended finite element method for discontinuous rock masses
WAN Lin-lin,Yü Tian-tang.Preprocessing of extended finite element method for discontinuous rock masses[J].Rock and Soil Mechanics,2011,32(Z1):772-0778.
Authors:WAN Lin-lin  Yü Tian-tang
Institution:College of Mechanics and Materials, Hohai University, Nanjing 210098, China
Abstract:The extended finite element method (XFEM) is proposed for discontinuous problems. It is widely used to solve discontinuous problems due to the independence of computational meshes and discontinuous interfaces. Therefore, the preprocessing that transforms discontinuous interfaces and computational meshes geometry information to topological information becomes precondition of this method. According to the application of two-dimensional XFEM to discontinuous rock masses problems, generation of mesh and topological information of elements are studied. Two-dimensional preprocessing program is developed according to the algorithm of automatic generation of topological information. The geometry information of interfaces and meshes is converted to topological information which is needed in the computation. The results demonstrate the applicability and correctness of the program. In addition, the promising potential of the XFEM application to discontinuous rock masses problems is proved
Keywords:discontinuous rock masses  pre-processing  extended finite element method  automatic topological information generation system  
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