Bifurcations in Contact Problems with Local Coulomb Friction

J. Haslinger (), R. Kučera () and O. Vlach ()
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J. Haslinger: Charles University
R. Kučera: VŠB-TU Ostrava
O. Vlach: VŠB-TU Ostrava

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 811-818 from Springer

Abstract: Abstract This contribution illustrates the bifurcation behaviour of solutions to contact problems with local Coulomb friction. The bifurcation character of solutions is well-known for models with a low number of degrees of freedom. Our aim is to show that a similar phenomen occurs when a finite element approximation with a high number of degrees of freedom is used. We experimentally find a critical value of the coefficient of friction in which one branch of solutions splits into two.

Date: 2008
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DOI: 10.1007/978-3-540-69777-0_97

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