Unstable perturbation of the equilibrium under Coulomb friction: nonlinear eigenvalue analysis

DOI10.1016/J.CMA.2006.11.020zbMath1173.74343OpenAlexW1983678344MaRDI QIDQ1033496

Nour-Dine Sakki, Riad Hassani, Ioan R. Ionescu

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.11.020

zbMATH Keywords

instabilityCoulomb frictionlinear elasticitybifurcationmixed finite elementsnon-uniquenessequilibrium configurationsnon-linear eigenvalue analysis

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

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• Critical friction for wedged configurations
• Instability and friction
• Stability of the three‐dimensional Coulomb friction law
• Sufficient conditions of non-uniqueness for the Coulomb friction problem
• Interaction of faults under slip‐dependent friction. Non‐linear eigenvalue analysis

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