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Unilateral contact with Coulomb friction and uncertain input data. (English) Zbl 1049.49007
Summary: A quasivariational inequality (QVI) in \(R^d\), \(d = 2, 3\), with perturbed input data is solved by means of a worst scenario (anti-optimization) approach, using a stability result for the solution set of perturbed QVI-problems. The theory is applied to the dual finite element formulation of the Signorini problem with Coulomb friction and uncertain coefficients of stress-strain law, friction, and loading.

49J40 Variational inequalities
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74M10 Friction in solid mechanics
Full Text: DOI
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