Hw. Zhang et al., A COMBINED PROGRAMMING AND ITERATION ALGORITHM FOR FINITE-ELEMENT ANALYSIS OF 3-DIMENSIONAL CONTACT PROBLEMS, Acta Mechanica Sinica, 11(4), 1995, pp. 318-326
Comparing with two-dimensional contact problems, three-dimensional fri
ctional contact problems are more difficult to deal with, because of t
he unknown slip direction of the tangential force and enormous computi
ng time. In order to overcome these difficulties, a combined PQP (Para
metric Quadratic Programming) and iteration method is derived in this
paper. The iteration algorithm, which alleviates the difficulty of unk
nown slip direction, is used along with the PQP method to cut down com
puting costs. Numerical example is given to demonstrate the validity o
f the present algorithm.