Publikace na Matematicko-fyzikální fakulta |
2013
Abstrakt
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.