摩擦接触问题参变量二次规划分析的增广Lagrange算法

A Parametric Augmented Lagrangian Quadratic Programming Approach for Frictional Contact Problems

建立了摩擦接触条件的增广Lagrange线性互补表述形式,继而构造出求解摩擦接触问题的一种增广Lagrange线性互补算法.与求解摩擦接触问题参变量二次规划法相比,本文模型在理论上是对摩擦接触条件的一种精确正则化模型,虽然其中也包含了惩罚参数,但在理论上不需要它趋于无穷大就能得到精确解;所提算法编程简单,便于装入现有有限元分析模快中.应用实例表明了本文方法的正确性和有效性.

An augmented Lagrangian-linear complementarity frictional contact condition was presented,which was an exact regularized frictional contact formulation. Based on this,a parametric augmented Lagrangian quadratic programming algorithm was established for the frictional contact problems. Compared with the well known parametric quadratic programming approach for frictional contact problems,although the proposed formulation also contains a penalty term,the penalty factor was unnecessary ordered to trend to infinity. Planar elastic frictional contact problem was formulated as an illustrative application and some numerical results were given to demonstrate the correctness and effectiveness of the proposed method.