A variational inequality-based formulation of the frictional contact law with a non-associated sliding rule

DOI10.1016/S0997-7538(01)01183-4zbMath1005.74043OpenAlexW2011855517MaRDI QIDQ1613135

Mohammed Hjiaj, Gery De Saxce, Zenon Mroz

Publication date: 5 September 2002

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7538(01)01183-4

zbMATH Keywords

variational inequalityconvexityvariational formulationanisotropic friction conditionbi-potentialcomplex frictional contact lawdual pseudo-potentialsnon-associated sliding rule

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Evolution problem associated with a moving convex set in Hilbert space
• An anisotropic friction and wear model
• Phenomenological model of contact slip
• On the elastic plastic initial-boundary value problem and its numerical integration
• Formulation and comparison of algorithms for frictional contact problems
• Variational Analysis
• Matériaux viscoplastiques et lois de normalité implicites

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