A FAMILY OF SIMPLE TWO-PASS DUAL FORMULATIONS
FOR THE FINITE ELEMENT SOLUTION OF CONTACT PROBLEMS
J.M. Solberg, R.E. Jones and P. Papadopoulos
Comp. Meth. Appl. Mech. Engrg., 196, pp. 782-802, (2007)
Simple, stable, unbiased algorithms for two-pass, two-body contact have until
now eluded researchers in computational mechanics. This work examines the
subject, starting from an interpolation scheme proposed in an earlier work.
This method, though stable and unbiased, results in an exceedingly complex
algorithm in three dimensions. Motivated by the need for simplicity,
a new formulation of the contact problem is introduced, which results in
a family of simple, stable, geometrically unbiased elements.
The starting point of these elements is any algorithm which is stable for
the Signorini problem. A number of example problems are presented to compare
the performance of the elements.
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