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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
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[1] Ben-Haim Y., Convex Models of Uncertaintyin Applied Mechanics (1990)
[2] Bielski W. R., Arch. Mech. 37 pp 303– (1985)
[3] DOI: 10.1080/01630560008816987 · Zbl 0965.49005
[4] Capuzzo Dolcetta I., Numer. Funct. Anal.and Optimiz. 2 pp 231– (1980) · Zbl 0456.49011
[5] Gong., J. Optimiz. Theory and Appl. 70 pp 365– (1991) · Zbl 0737.49010
[6] Hlavá[cbreve]ek I., Nonlin. Anal. Theory Methods Appl. 30 pp 3879– (1997) · Zbl 0896.35034
[7] Hlavá[cbreve]ek I., Appl. Math. pp 357– (2000)
[8] Licht C., Unilateral Problems in Structural Analysis pp 129– (1991)
[9] Mosco U., Lecture Notes in Math. 543 (1976)
[10] DOI: 10.1137/S0895479891219216 · Zbl 0796.65065
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