Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem

2005 ◽  
Vol 65 (1) ◽  
pp. 62-83 ◽  
Author(s):  
Y. Kanno ◽  
J. A. C. Martins ◽  
A. Pinto da Costa
Keyword(s):  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Frictional Contact ◽  
Three Dimensional ◽  
Linear Complementarity ◽  
Second Order ◽  
Second Order Cone

Complementarity Problem Formulation of Three-Dimensional Frictional Contact

1991 ◽  
Vol 58 (1) ◽  
pp. 134-140 ◽  
Author(s):  
B. M. Kwak
Keyword(s):  
Complementarity Problem ◽  
Frictional Contact ◽  
Nonlinear Complementarity Problem ◽  
Three Dimensional ◽  
Linear Complementarity Problems ◽  
Problem Formulation ◽  
Linear Complementarity ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Special Case

A general three-dimensional frictional contact problem has been formulated in the form of a complementarity problem in an incremental analysis setting. The derivation is straight forward and very natural. It is shown that the complementarity problem for a three-dimensional case is inherently nonlinear, not like the two-dimensional problem where a linear complementarity problem formulation is possible. The two-dimensional case is a special case of the three-dimensional formulation. Approximate linear complementarity problems of the nonlinear complementarity problem by a Newton approach, or by introducing polyhedral law of friction, have been proposed for efficient numerical implementations.

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