三维快速拉格朗日法及其在拱坝稳定分析中的应用

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。

Three-dimensional Fast Lagrangian Method and its Application in Arch Dam Stability Analysis

The three dimensional fast Lagrangian analysis is a numerical method based on three dimensional explicit finite difference method. It can simulate three dimensional mechanical behaviors 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 elasto plastic analysis, large deformation analysis and construction process simulation. Therefore, the first principles of three dimensional fast Lagrangian analysis and its features are introduced first. Then, using the program FLAC 3D of fast Lagrangian analysis developed by Itasca Consulting Group, Inc. of America, taking the Xiaowan arch dam as the example, the authors demonstrated its application in arch dam stability analysis.