NUMERICAL TREATMENT OF THE NONMONOTONE (ZIGZAG) FRICTION AND ADHESIVECONTACT PROBLEMS WITH DEBONDING - APPROXIMATION BY MONOTONE SUBPROBLEMS

Authors
MISTAKIDIS ES PANAGIOTOPOULOS PD
Citation
Es. Mistakidis et Pd. Panagiotopoulos, NUMERICAL TREATMENT OF THE NONMONOTONE (ZIGZAG) FRICTION AND ADHESIVECONTACT PROBLEMS WITH DEBONDING - APPROXIMATION BY MONOTONE SUBPROBLEMS, Computers & structures, 47(1), 1993, pp. 33-46
Citations number
42
Categorie Soggetti
Computer Sciences","Computer Application, Chemistry & Engineering",Engineering,"Computer Applications & Cybernetics
Journal title
Computers & structures → ACNP
ISSN journal
00457949
Volume
47
Issue
1
Year of publication
1993
Pages
33 - 46
Database
ISI
SICI code
0045-7949(1993)47:1<33:NTOTN(>2.0.ZU;2-S
Abstract
Nonmonotone friction problems or adhesive contact friction problems in troduce zig-zag-type laws which cannot be effectively treated by the c lassical numerical methods for nonlinear stress-strain laws. In order to calculate accurately the arising free boundaries we propose a new a pproximation method of the nonmonotone problem by monotone ones. The p roposed method finds its justification in the approximation of a hemiv ariational inequality by a sequence of variational inequalities. Also, the case of debonding is considered by an appropriate fixed point typ e algorithm. Numerical examples illustrate the numerical method.