三维快速拉格朗日法在小湾拱坝稳定分析中的应用

Three Dimensional Fast Lagrangian Method and Its Application in Xiaowan Arch Dam Stability Analysis

三维快速拉格朗日分析是基于三维显式有限差分法的数值分析方法，它可以模拟岩土或其他材料的三维力学行为，可以准确地模拟材料的屈服、塑性流动、软化直至大变形。由于采用显式差分法，它尤其适合于材料的弹塑性、大变形分析以及施工过程的模拟。本文首先介绍了三维快速拉格朗日分析的基本原理及其特点，然后用美国Ｉｔａｓｃａ Ｃｏｎｓｕｌｔｉｎｇ Ｇｒｏｕｐ Ｉｎｃ开发的三维快速拉格朗日分析程序ＦＬＡＣ－３Ｄ进行了小湾拱坝的应力变形分析和参数敏感分析。

Three dimensional fast Lagrangian analysis is a numerical method based on three dimensional explicit finite difference method. It can simulate three dimensional mechanical behavior of geotechnical or other materials such as yielding, plastic flow, softening or large deformation. Because of the application of explicit difference method, it is especially suitable to problems of elasto - plastic analysis, large deformation analysis and construction process simulation. In this paper, the theory background of three dimensional fast Lagrangian analysis and its features are introduced first. Then the authors analyzed the stresses, deformation and parameter sensitivity of Xiaowan arch dam by use of the FLAC - 3D, a program of three dimensional fast Lagrangian analysis developed by Itasca Consulting Group Inc of America.