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Hild, Patrick

An example of nonuniqueness for the continuous static unilateral contact model with Coulomb friction. (English) Zbl 1035.35090

C. R., Math., Acad. Sci. Paris 337, No. 10, 685-688 (2003).
Summary: The aim of this Note is to propose an example of nonuniqueness for the continuous static unilateral contact model with Coulomb friction in linear elasticity.

Cited in 9 Documents

MSC:

35Q72 Other PDE from mechanics (MSC2000)
74M15 Contact in solid mechanics
74M10 Friction in solid mechanics
35L85 Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics

Keywords:

linear elasticity
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\textit{P. Hild}, C. R., Math., Acad. Sci. Paris 337, No. 10, 685--688 (2003; Zbl 1035.35090)
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References:

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[5] Eck, C.; Jarušek, J., Existence results for the static contact problem with Coulomb friction, Math. Models Methods Appl. Sci., 8, 445-468 (1998) · Zbl 0907.73052
[7] Jarušek, J., Contact problems with bounded friction. Coercive case, Czechoslovak. Math. J., 33, 237-261 (1983) · Zbl 0519.73095
[8] Nečas, J.; Jarušek, J.; Haslinger, J., On the solution of the variational inequality to the Signorini problem with small friction, Boll. Un. Mat. Ital. B(5), 17, 796-811 (1980) · Zbl 0445.49011
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