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Approximation of the Signorini problem with friction, obeying the Coulomb law. (English) Zbl 0525.73130


MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
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References:

[1] Brezzi, Error estimates for the finite element solution of variational inequalities I, Numer. Math. 28 pp 431– · Zbl 0369.65030 · doi:10.1007/BF01404345
[2] Haslinger, Approximation of the Signorini problem with friction by a mixed finite element method, JMAA 86 (1) pp 99– (1982) · Zbl 0486.73099
[3] Haslinger, proceedings of IVth Symposium ”Trends in applications of pure mathematics to mechanics (1981)
[4] Haslinger, Mixed variational formulation of unilateral problems, CMUC 31 pp 2– (1980) · Zbl 0428.65060
[5] Hlaváček, Solution of variational inequalities in mechanics (in slovac), Bratislava (1982)
[6] Jarušek, Contact problem with a bounded friction, Coercive case. Czech. Math. J. 33 pp 2– (1983)
[7] Nečas, Les méthodes directes en théorie des équations elliptiques (1967)
[8] Nečas , J.
[9] Nečas, On the solution of the variational inequality to the Signorini problem with small friction, Bolletino U. M. I. (5) 17-B pp 796– (1980)
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