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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 analysis method based on three-dimensional explicit finite difference method. It can simulate the three-dimensional mechanical behavior of geomaterials or other materials and accurately simulate the yielding, plastic flow and softening of materials until large deformation. Due to the explicit difference method, it is especially suitable for material elasto-plasticity, large deformation analysis and simulation of the construction process. In this paper, the basic principles and characteristics of 3D fast Lagrangian analysis are introduced firstly. Then the stress and deformation of Xiaowan arch dam and its parameters are analyzed by FLAC-3D, a three-dimensional fast Lagrangian program developed by Itasca Consulting Group Inc. Sensitive analysis.