×

zbMATH — the first resource for mathematics

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.

MSC:
49J40 Variational inequalities
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74M10 Friction in solid mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[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 · doi:10.1080/01630560008816987
[4] Capuzzo Dolcetta I., Numer. Funct. Anal.and Optimiz. 2 pp 231– (1980) · Zbl 0456.49011 · doi:10.1080/01630568008816056
[5] Gong., J. Optimiz. Theory and Appl. 70 pp 365– (1991) · Zbl 0737.49010 · doi:10.1007/BF00940632
[6] Hlavá[cbreve]ek I., Nonlin. Anal. Theory Methods Appl. 30 pp 3879– (1997) · Zbl 0896.35034 · doi:10.1016/S0362-546X(96)00236-2
[7] Hlavá[cbreve]ek I., Appl. Math. pp 357– (2000)
[8] Licht C., Unilateral Problems in Structural Analysis pp 129– (1991) · doi:10.1007/978-3-0348-7303-1_10
[9] Mosco U., Lecture Notes in Math. 543 (1976)
[10] DOI: 10.1137/S0895479891219216 · Zbl 0796.65065 · doi:10.1137/S0895479891219216
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.