三维无界元和有限元的耦合方法

本文提出了三维无界元和有限元的耦合方法,即用无界元来模拟远场效应,用有限元模拟近场效应.同时,给出了三维四点无界模型及形函数、位移函数,无界元的单刚矩阵等整套计算公式,编制了三维无界元和等参有限元的耦合程序.该程序具有提高计算精度和节省机时、节省存贮量等优点,是解决岩土工程问题的有效工具.

COUPLING METHOD OF 3-D INFINITE ELEMENTS AND FINITE ELEMENTS

The coupling method of the 3-D infinite elements and the finite elements is presented in this paper. The infinite elements are used to simulate the far-field effect, while the finite elements are used to simulate the near-field effect. The 3-D 4-node model of the infinite element as well as its shape functions, displacement functions and stiffness matrix are stipulated in this paper. A hybrid program of the 3-D infinite elements coupled with the isoparametric finite elements has been worked out. It has the advantages of higher accuracy, less storage requirement and less machine time needed. It is an effective method in solving geo-engineering problems.