THE SOLUTION OF LARGE DISPLACEMENT FRICTIONLESS CONTACT PROBLEMS USING A SEQUENCE OF LINEAR COMPLEMENTARITY-PROBLEMS

被引：13

作者：

BJORKMAN, G

机构：

[1] Linköping Institute of Technology, Department of Mechanical Engineering, Division of Solid Mechanics and Strength of Materials, Linköping

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1991年 / 31卷 / 08期

关键词：

D O I：

10.1002/nme.1620310808

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A Newton method for solution of frictionless contact problems is presented. A finite element discretization is performed and the contact constraints are given as complementarity conditions. The resulting equations, which represent the equilibrium of the system, are formulated as a generalized equation. Generalized equations, from the discipline of Mathematical Programming, are a way of writing multi-valued relations, such as complementarity conditions, in a way that is similar to ordinary equations. Newton's method is then used, in a straightforward way, to solve the present non-linear generalized equation, resulting in a sequence of Linear Complementarity Problems (LCP's).

引用

页码：1553 / 1566

页数：14

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