A MIXED FORMULATION FOR THE FINITE ELEMENT SOLUTION OF CONTACT PROBLEMS
P. PAPADOPOULOS and R. L. TAYLOR Comp. Meth. Appl. Mech. Engr. 94, pp. 373-389, (1992)

Abstract
In this paper we present a finite element algorithm for the static solution of two-dimensional frictionless contact problems involving bodies undergoing arbitrarily large motions and deformations. A mixed penalty formulation is employed in approximating the resulting variational inequalities. The algorithm is applied to quadratic elements along with a rational scheme for determining the contacting regions. Several numerical simulations illustrate the applicability and accuracy of the proposed solution procedure.