A New Finite Element Analysis of Frictional Contact Using Nondifferential Optimization

1996 ◽  
Author(s):  
M. H. Refaat ◽  
S. A. Meguid
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Inequality ◽  
Mathematical Programming ◽  
Variational Inequalities ◽  
Ad Hoc ◽  
Frictional Contact ◽  
Contact Problems ◽  
Element Analysis ◽  
Regularization Techniques

Abstract Current solution schemes of variational inequalities arising in frictional contact problems adopt penalty and regularization techniques. The convergence and accuracy of these schemes are governed by user-defined parameters. To overcome the difficulties associated with the ad hoc use of such parameters, the variational inequality of the general frictional contact problem is treated in this paper using mathematical programming. A new non-differential optimization (NDO) technique, in association with quadratic programming, is used to treat the resulting variational inequalities.

A Three-Dimensional Frictional Contact Element Whose Stiffness Matrix is Symmetric

1999 ◽  
Vol 66 (2) ◽  
pp. 460-467 ◽  
Author(s):  
S. H. Ju ◽  
R. E. Rowlands
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stiffness Matrix ◽  
Frictional Contact ◽  
Three Dimensional ◽  
Contact Problems ◽  
Contact Element ◽  
Penalty Function Method ◽  
Element Analysis ◽  
Finite Element Program

A three-dimensional contact element based on the penalty function method has been developed for contact frictional problems with sticking, sliding, and separation modes infinite element analysis. A major advantage of this contact element is that its stiffness matrix is symmetric, even for frictional contact problems which have extensive sliding. As with other conventional finite elements, such as beam and continuum elements, this new contact element can be added to an existing finite element program without having to modify the main finite element analysis program. One is therefore able to easily implement the element into existing nonlinear finite element analysis codes for static, dynamic, and inelastic analyses. This element, which contains one contact node and four target nodes, can be used to analyze node-to-surface contact problems including those where the contact node slides along one or several target surfaces.

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