Numerical analysis of a dynamic bilateral thermoviscoelastic contact problem with nonmonotone friction law

DOI10.1016/j.camwa.2016.12.026zbMath1369.74066OpenAlexW2585957477MaRDI QIDQ2398982

Krzysztof Bartosz, David Danan, Pawel Szafraniec

Publication date: 21 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.12.026

zbMATH Keywords

finite element methoderror estimatedynamic contactnonmonotone friction lawthermoviscoelastic material

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

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• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Solvability of a class of thermal dynamical contact problems with subdifferential conditions
• A frictionless viscoelastodynamic contact problem with energy consistent properties: numerical analysis and computational aspects
• A mathematical analysis of a dynamical frictional contact model in thermoviscoelasticity
• Numerical analysis of a dynamic piezoelectric contact problem arising in viscoelasticity
• A class of contact and friction dynamic problems in thermoelasticity and in thermoviscoelasticity
• A dynamic thermoviscoelastic contact problem with friction and wear
• On the convergence of solutions of multivalued parabolic equations and applications
• Quasi-static thermoviscoelastic contact problem with slip dependent friction coefficient.
• A frictionless contact problem for viscoelastic materials
• One-dimensional dynamic thermoviscoelastic contact with damage
• A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity
• Numerical analysis and simulations of a dynamic frictionless contact problem with damage
• Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers
• An analytical and numerical approach to a bilateral contact problem with nonmonotone friction
• INTEGRODIFFERENTIAL HEMIVARIATIONAL INEQUALITIES WITH APPLICATIONS TO VISCOELASTIC FRICTIONAL CONTACT
• Numerical analysis of a frictionless viscoelastic piezoelectric contact problem
• An Error Estimate for the Signorini Problem with Coulomb Friction Approximated by Finite Elements
• On the discretization of contact problems in elastodynamics
• Existence and uniqueness for a quasistatic frictional bilateral contact problem in thermoviscoelasticity
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
• Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact
• Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction
• Existence of solutions for second order evolution inclusions with application to mechanical contact problems
• Dynamic bilateral contact with discontinuous friction coefficient

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