Instability of frictional contact states in infinite layers

DOI10.1016/j.euromechsol.2007.09.006zbMath1154.74347OpenAlexW2053261293MaRDI QIDQ929534

António Pinto da Costa, Mohamed A. Agwa

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2007.09.006

zbMATH Keywords

instabilityCoulomb frictionfinite elementsperiodicity conditionsorthotropyinfinite layercomplementarity eigenproblem

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (4)

Existence and multiplicity of solutions in frictional contact mechanics. I: A simplified criterion ⋮ Existence and multiplicity of solutions in frictional contact mechanics. II: Analytical and numerical case study ⋮ Critical elastic parameters motivating divergence instability of frictional composite infinitely long media ⋮ Using symbolic computation in the characterization of frictional instabilities involving orthotropic materials

Uses Software

• GAMS
• PATH Solver

Cites Work

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• Dynamic behavior and stability of simple frictional systems
• On discrete and discretized nonlinear elastic structures in unilateral contact (stability, uniqueness and variational principles)
• Investigation of the equilibrium states and their stability for a simple model with unilateral contact and Coulomb friction
• The evolution and rate problems and the computation of all possible evolutions in quasi-static frictional contact.
• A mixed finite element method and solution multiplicity for Coulomb frictional contact.
• Stability of finite-dimensional nonlinear elastic systems with unilateral contact and friction
• On solution multiplicity in friction problems with normal compliance
• Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction
• Stability of the three‐dimensional Coulomb friction law
• Sufficient conditions of non-uniqueness for the Coulomb friction problem
• The symmetric eigenvalue complementarity problem

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