Premium
The solution of large displacement frictionless contact problems using a sequence of linear complementarity problems
Author(s) -
Björkman Gunnar
Publication year - 1991
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620310808
Subject(s) - complementarity (molecular biology) , linear complementarity problem , mathematics , discretization , finite element method , sequence (biology) , complementarity theory , mixed complementarity problem , system of linear equations , mathematical analysis , mathematical optimization , nonlinear system , physics , genetics , quantum mechanics , biology , thermodynamics
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).