MATHEMATICAL PROGRAMMING METHOD FOR ANALYSIS OF ELASTO-PLASTIC CONTACT PROBLEMS WITH FRICTION
摩擦接触弹塑性分析的数学规划法

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.