Consider contact problem with Coulomb friction on two planar domains. In order to find non-unique solutions we propose a new path following algorithm: Given a linear loading path we approximate the corresponding solution path. It consists of oriented piecewise linear branches connected by transition points. We developed a) predictor-corrector algorithm to follow oriented linear branches, b) branching and orientation indicators to detect transition points. The techniques incorporate semi-smooth Newton iterations and inactive/active set strategy on the contact zone.
@article{702936,
title = {Path-following the static contact problem with Coulomb friction},
booktitle = {Applications of Mathematics 2013},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2013},
pages = {104-116},
mrnumber = {MR3204435},
zbl = {1340.74071},
url = {http://dml.mathdoc.fr/item/702936}
}
Haslinger, Jaroslav; Janovský, Vladimír; Kučera, Radek. Path-following the static contact problem with Coulomb friction, dans Applications of Mathematics 2013, GDML_Books, (2013), pp. 104-116. http://gdmltest.u-ga.fr/item/702936/