有限元-无限元法在重力坝应力分析中的应用

为考虑坝体-地基共同作用,建立了有限元-无限元耦合分析模型.首先介绍了二维问题中常用的单向无限单元的坐标变换式和位移函数,然后运用ABAQUS程序对一具有精确解的平面问题分别进行了有限元、有限元-无限元耦合分析,验证了引入无限元模拟无限域或半无限域问题的正确性和精确性.然后对KOYNA重力坝进行了静力计算分析,对有限元、有限元-无限元计算结果进行了比较.结果表明,基于ABAQUS的有限元-无限元法计算量小、精度高,为求解类似的无限域或半无限域问题提供了简洁、合理、精确的计算方法.

Application of finite element and infinite element method to stress analysis of gravity dam

The finite-infinite elements coupling analysis models are built in order to consider dam-foundation combined action problems. The coordinate transformation format and displacement function of single direction infinite elements which are in common use in the numerical analysis of 2 D problems is firstly introduced. Then a plane problem which has an exact solution is analyzed based on ABAQUS program with the general finite element method and the finite-infinite element coupling method. It is derived that the finite-infinite element coupling method for the infinite or half infinite region problem has the advantage of more satisfactory precision and reliability. Then the static stress of Koyna gravity dam is analyzed; and the results of the general finite element method and the finite infinite element coupling method are compared. The results show that the coupling method which is based on ABAQUS has low computational complexity and high accuracy; and offers a simple, logical, accurate calculation method for the analogous infinite or half infinite region problem.