弹塑性土质边坡的ALE方法有限元分析

有限元法被广泛用于解决几何和材料非线性的问题，但标准的有限元方法难以有效解决某些材料的大变形问题和计算中的网格扭曲问题。任意拉格朗日-欧拉法（ALE法）吸取了拉格朗日和欧拉法的优点，并克服了两者的缺点，可用于解决仅用拉格朗日或欧拉有限元法所难以解决的问题。基于ALE有限元方法和弹塑性大变形基本原理，研究了岩土工程中土质边坡在自重作用下的稳定问题；计算结果不仅能直观地显示失稳时的大变形状态，并能确定较符合实际的临界滑移面形状；同时分析了含软弱夹层复杂土质边坡的稳定性。结果表明，ALE方法能有效分析土质边坡的稳定性问题，适用于岩土工程的弹塑性分析。

ALE method finite element analysis of elastoplastic soil slope

Finite element methods are largely used in solving nonlinear geometrical and material problems. But standard finite element methods are ineffectively in handling extreme material deformation, such as cases of large deformation and severe mesh distortion problems in computation. Arbitrary Lagrangian-Eulerian (ALE) methods incorporate the advantages of Lagrangian and Eulerian methods and overcome their disadvantages. The methods can solve many problems which can be solved difficultly by Lagrangian and Eulerian methods. Based on ALE finite element methods and fundamental theory of elastoplastic large deformation, the soil slope stability problems of a simple soil slope and a complex soil slope with weak layer under self-gravity in geotechnical engineering are analyzed as the illustrative cases. The computational results show that the deformation behaviors of slope sliding and the critical slip plane can be defined clearly from the deformed shape obtained by ALE finite element method. The results show that the arbitrary Lagrangian-Eulerian (ALE) methods can effectively analyze the stability of soil slopes and be applied to the elastoplasticity analysis of geotechnical engineering.