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节理岩体的三维阶谱复合单元法初步研究
引用本文:彭成佳,陈胜宏.节理岩体的三维阶谱复合单元法初步研究[J].岩土力学,2007,28(4):817-822.
作者姓名:彭成佳  陈胜宏
作者单位:武汉大学水利水电学院,武汉,430072
摘    要:阐述了节理岩体复合单元法基本原理,引入了阶谱有限单元法中的虚节点和广义节点概念,提出了覆盖虚棱(面)和广义棱(面)的概念,并进一步将虚节点和广义节点分类。在此基础上构造了节理岩体的三维复合单元不同阶次时的位移函数并推导了对应的刚度矩阵。算例表明此法是合理有效的。提出的概念有助于复合单元法和传统有限单元法二者升阶谱的理解与统一实现,并为实现节理岩体三维复合单元法的P型自适应奠定了基础。

关 键 词:节理岩体  阶谱单元  覆盖  广义节点  三维阶谱复合单元法。  
文章编号:1000-7598-(2007)04-0817-06
收稿时间:2006-01-11
修稿时间:2006-01-11

Preliminary research on 3-D hierarchical composite element method for jointed rock masses
PENG Cheng-jia,CHEN Sheng-hong.Preliminary research on 3-D hierarchical composite element method for jointed rock masses[J].Rock and Soil Mechanics,2007,28(4):817-822.
Authors:PENG Cheng-jia  CHEN Sheng-hong
Institution:School of Water Resources and Hydropower, Wuhan University, Wuhan 430072, China
Abstract:This paper explains the basic principle of composite element method and introduces the concept of virtual node and generalized node used in the hierarchical finite element method.Then the concept of covered virtual edge(face) and generalized edge(face) is put forward;and the further classification of virtual node and generalized node is presented.Based on it,displacement function with different orders on the 3-D composite element for jointed rock masses is constructed and the element stiffness matrix is derived.Numerical examples show the rationality and efficiency of the theory.The concept presented is helpful to understand and realize the hierarchy of composite element method and traditional finite element method as a whole,and establish the foundation of p-version adaptivity of 3-D hierarchical composite element method for jointed rock masses.
Keywords:jointed rock masses  hierarchical element  cover  generalized node  3-D hierarchical CEM
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