六节点无界元及其在岩土工程中的应用

Six-node Infinite Element and Its Application in Geotechnical Engineering

推导了六节点无界元的相关公式,并采用VC++和Matlab混合编程的手段,设计了基于Windows操作平台的面向对象的有限元与无界元耦合分析软件。应用所编制的软件,成功地对某大型水电站地下硐室群的稳定性进行了有限元分析和有限元与无界元耦合分析,验证了公式推导的正确性。分析表明,在无限域和半无限域的岩土工程问题中,引入无界元可以达到消除“边界效应”和提高计算效率的目的。

Formulas of infinite element with 6 nodes are presented; and an object-oriented geotechnical infinite element（ IE）-finite element （FE） coupling software based on Windows is designed by combining VC ＋ ＋ with Matlab. As its application, the stability of underground excavation of a hydropower project in Yunnan Province is calculated by FEM and IE coupled with FE method; so that the accuracy of formulas is proved. The analysis of the example shows that, when infinite or semi-infinite calculating zone is involved in, the application of IE coupled with FE may eliminate ＂boundary effects＂ and raise the efficiency of calculation.