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.

EUDML-ID : urn:eudml:doc:287790
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Mots clés:

@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/