Signorini problem with a solution dependent coefficient of friction (model with given friction): approximation and numerical realization

Signorini problem with a solution dependent coefficient of friction (model with given friction): approximation and numerical realization

Contact problems with given friction and the coefficient of friction depending on their solutions are studied. We prove the existence of at least one solution; uniqueness is obtained under additional assumptions on the coefficient of friction. The method of successive approximations combined with th...

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Veröffentlicht in:Applications of mathematics (Prague) 2005-04, Vol.50 (2), p.153-171
Hauptverfasser: Haslinger, Jaroslav, Vlach, Oldrich
Format: Artikel
Sprache:eng
Schlagworte:
Applications of mathematics
Approximation
Coefficient of friction
Contact
Friction
Iterative methods
Mathematical analysis
Mathematical models
Studies
Uniqueness
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Zusammenfassung:Contact problems with given friction and the coefficient of friction depending on their solutions are studied. We prove the existence of at least one solution; uniqueness is obtained under additional assumptions on the coefficient of friction. The method of successive approximations combined with the dual formulation of each iterative step is used for numerical realization. Numerical results of model examples are shown.
ISSN:0862-7940
1572-9109
DOI:10.1007/s10492-005-0010-6