摩擦接触弹塑性分析的数学规划法

本文提出摩擦接触弹塑性分析的数学规划法,是弹性接触问题解法的推广,使之能处理比例加载时的塑性效应。利用所导出接触问题总刚度阵的逆,结合参变量线性互补公式,仍可消去由接触单元而引入的惩罚因子。于是,可以获得一个弹塑性问题、弹性接触和弹塑性接触问题的有限元参数二次规划法模型。所选的几个实例说明了方法的实用性。

MATHEMATICAL PROGRAMMING METHOD FOR ANALYSIS OF ELASTO-PLASTIC CONTACT PROBLEMS WITH FRICTION

A mathematical programming procedure developed for the elasto-plastic contact problems with friction is presented. This is a generalization of a procedure for elastic contact problems to include the plastic effects under proportional loading. The method uses the flexibility matrix obtained by inversion of the global stiffness matrix formed by introducing the contact element, and Parametric Linear Complementary (PLC) in plasticity or in elastic contact problems. The penalty factors in elasto-plastic frictional contact problems can be eliminated similiar to elastic contact problems.A mathematical programming procedure developed for the elasto-plastic contact problems with friction is presented. This is a generalization of a procedure for elastic contact problems to include the plastic effects under proportional loading. The method uses the flexibility matrix obtained by inversion of the global stiffness matrix formed by introducing the contact element, and Parametric Linear Complementary (PLC) in plasticity or in elastic contact problems. The penalty factors in elasto-plastic frictional contact problems can be eliminated similiar to elastic contact problems.