Path-following the static contact problem with Coulomb friction

Haslinger, Jaroslav, Janovský, Vladimír, and Kučera, Radek. "Path-following the static contact problem with Coulomb friction." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 104-116. <http://eudml.org/doc/287790>.

@inProceedings{Haslinger2013,
abstract = {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.},
author = {Haslinger, Jaroslav, Janovský, Vladimír, Kučera, Radek},
booktitle = {Applications of Mathematics 2013},
keywords = {contact; Coulomb friction; Signorini problem; finite element method; projection; semi-smooth Newton method; path-following algorithm},
location = {Prague},
pages = {104-116},
publisher = {Institute of Mathematics AS CR},
title = {Path-following the static contact problem with Coulomb friction},
url = {http://eudml.org/doc/287790},
year = {2013},
}

TY - CLSWK
AU - Haslinger, Jaroslav
AU - Janovský, Vladimír
AU - Kučera, Radek
TI - Path-following the static contact problem with Coulomb friction
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 104
EP - 116
AB - 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.
KW - contact; Coulomb friction; Signorini problem; finite element method; projection; semi-smooth Newton method; path-following algorithm
UR - http://eudml.org/doc/287790
ER -