增广拉格朗日法
不连续性分类
有限元法
拉格朗日
非线性系统
接触力
数学
打滑(空气动力学)
应用数学
数学分析
数学优化
经典力学
工程类
结构工程
物理
量子力学
航空航天工程
作者
M. Reza Hirmand,M. Vahab,A.R. Khoei
标识
DOI:10.1016/j.finel.2015.08.003
摘要
In this paper, an Uzawa-type augmented Lagrangian contact formulation is presented for modeling frictional discontinuities in the framework of the X-FEM technique. The kinematically nonlinear contact problem is resolved based on an active set strategy to fulfill the Kuhn–Tucker inequalities in the normal direction of contact. The Coulomb’s friction rule is employed to address the stick–slip behavior on the contact interface through a return mapping algorithm in conjunction with a symmetrized (nested) augmented Lagrangian approach. A stabilization algorithm is proposed for the robust imposition of the frictional contact constraints within the proposed augmented Lagrangian framework. Several numerical examples are presented to demonstrate various aspects of the proposed computational algorithm in simulation of the straight, curved and wave-shaped discontinuities.
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