On solution multiplicity in friction problems with normal compliance

DOI10.1016/j.jmaa.2004.05.026zbMath1071.74040OpenAlexW2074602363MaRDI QIDQ1883070

Nour-Dine Sakki, Patrick Hild

Publication date: 1 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.026

zbMATH Keywords

eigenvalue problemfinite element discretisation

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

Related Items (4)

Averaging of a finely laminated elastic medium with roughness or adhesion on the contact surfaces of the layers ⋮ Instability of frictional contact states in infinite layers ⋮ Two results on solution uniqueness and multiplicity for the linear elastic friction problem with normal compliance ⋮ Critical elastic parameters motivating divergence instability of frictional composite infinitely long media

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• On friction problems with normal compliance
• A quasistatic contact problem with slip-dependent coefficient of friction
• Sufficient conditions of non-uniqueness for the Coulomb friction problem
• Non-unique slipping in the coulomb friction model in two-dimensional linear elasticity
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
• Equivalent Norms for Sobolev Spaces

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