A dynamic unilateral contact problem with adhesion and friction in viscoelasticity

DOI10.1007/s00033-009-0027-xzbMath1247.74050OpenAlexW2089119548MaRDI QIDQ638678

Marius Cocou, Mathieu Schryve, Michel Raous

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-009-0027-x

zbMATH Keywords

existencecompactnesspenalty methodparabolic variational inequalityimplicit variational inequality

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items

A dynamic viscoelastic problem with friction and rate-depending contact interactions ⋮ A bi-potential contact formulation of orthotropic adhesion between soft bodies ⋮ A study of a unilateral and adhesive contact problem with normal compliance ⋮ A Viscoelastic Frictionless Contact Problem with Adhesion ⋮ A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints ⋮ Dynamic contact problem with moderate displacement and time‐dependent normal ⋮ Analysis of a unilateral contact problem taking into account adhesion and friction ⋮ A dynamic unilateral contact problem with adhesion and friction in viscoelasticity ⋮ A class of dynamic contact problems with Coulomb friction in viscoelasticity ⋮ A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model ⋮ Dynamic frictionless contact of a nonlinear beam with two stops

Uses Software

• LMGC90

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A dynamic unilateral contact problem with adhesion and friction in viscoelasticity
• Compact sets in the space \(L^ p(0,T;B)\)
• Formulation and approximation of quasistatic frictional contact
• A dynamic frictional contact problem with normal damped response
• The non-smooth contact dynamics method
• A consistent model coupling adhesion, friction, and unilateral contact
• Analysis of a dynamic unilateral contact problem for a cracked viscoelastic body
• Problèmes unilateraux
• Formulation dynamique d'un modèle de zone cohésive tridimensionnel couplant endommagement et frottement
• Existence Results for Unilateral Quasistatic Contact Problems With Friction and Adhesion
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
• Dynamic friction contact problems for general normal and friction laws
• Analysis and Approximation of Contact Problems with Adhesion or Damage