A mixed finite element method and solution multiplicity for Coulomb frictional contact.

DOI10.1016/S0045-7825(03)00419-5zbMath1054.74052OpenAlexW2126658707MaRDI QIDQ1420981

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

Publication date: 23 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(03)00419-5

zbMATH Keywords

Coulomb frictionContact problemEigenvalue problemMixed finite elementsSolution multiplicity

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

On solution multiplicity in friction problems with normal compliance ⋮ Assessing the complete solution set of the planar frictional wedging problem ⋮ Discontinuity of quasi-static solution in the two-node Coulomb frictional system ⋮ Enumeration of all wedged equilibrium configurations in contact problem with Coulomb friction ⋮ Instability of frictional contact states in infinite layers ⋮ 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 ⋮ Solution multiplicity and stick configurations in continuous and finite element friction problems ⋮ Shakedown of coupled two-dimensional discrete frictional systems ⋮ Existence and uniqueness for frictional incremental and rate problems - sharp critical bounds ⋮ Critical elastic parameters motivating divergence instability of frictional composite infinitely long media ⋮ Unstable perturbation of the equilibrium under Coulomb friction: nonlinear eigenvalue analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A counter-example to uniqueness in quasi-static elastic contact problems with small friction
• Formulation and approximation of quasistatic frictional contact
• A Posteriori Error Control of Finite Element Approximations for Coulomb's Frictional Contact
• Approximation of the signorini problem with friction, obeying the coulomb law
• Critères d’injectivité et de surjectivité pour certaines applications de $\mathbb {R}^n$ dans lui-même ; application à la mécanique du contact
• EXISTENCE RESULTS FOR THE STATIC CONTACT PROBLEM WITH COULOMB FRICTION
• Sufficient conditions of non-uniqueness for the Coulomb friction problem
• Equivalent Norms for Sobolev Spaces