改进的拉氏乘子法在接触摩擦问题中的应用  

Application of augmented Lagrangian method in frictional contact problem

作　　者：王水林[1] 邓建辉[1] 葛修润[1] 

机构地区：[1]中国科学院武汉岩土力学研究所

出　　处：《岩土工程学报》1998年第5期64-67,共4页Chinese Journal of Geotechnical Engineering

摘　　要：以节理单元的刚度系数作为罚方法中的罚参数，将改进的拉格朗日乘子法应用于接触摩擦问题。给出了模拟物体接触时粘结、滑动与张开或闭合的迭代求解格式及刚度对称化方法。并对某坝基变形进行了分析。This paper applies augmented Lagrangian method to frictional contact problem by means of considering the stiffness of joint element as a penalty number of the penalty method. Procedures of simulating stick, slip and bonding or debonding state of node pairs and stiffness matrix symmetrization are presented. The analysis of a dam foundation is carried out.

关 键 词：罚方法 拉格朗日乘子法 接触摩擦问题 节理 岩体 

分 类 号：O313.3[理学—一般力学与力学基础] TU452[理学—力学]