A dynamic viscoelastic contact problem with normal compliance

DOI10.1016/j.cam.2014.08.016zbMath1334.74066OpenAlexW2028475969MaRDI QIDQ458166

José R. Fernández, Duarte Santamarina

Publication date: 7 October 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.08.016

zbMATH Keywords

viscoelasticitya posteriori error estimatesnumerical simulationsnormal compliancedynamic problem

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

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A quasistatic viscoelastic frictional contact problem with multivalued normal compliance, unilateral constraint and material damage ⋮ A fully-discrete finite element scheme and projection-iteration algorithm for a dynamic contact problem with multi-contact zones and unilateral constraint

Cites Work

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• A normal compliance contact problem in viscoelasticity: an a posteriori error analysis and computational experiments
• Dynamic stability of viscoelastic plates
• A posteriori error analysis for the normal compliance problem
• Numerical analysis of a dynamic piezoelectric contact problem arising in viscoelasticity
• Hemivariational inequality approach to the dynamic viscoelastic contact problem with nonmonotone normal compliance and slip-dependent friction
• Solvability of dynamic antiplane frictional contact problems for viscoelastic cylinders
• Dynamic contact problem for viscoelastic piezoelectric materials with slip-dependent friction
• Frictional contact problems with normal compliance
• Models, algorithms and error estimation for computational viscoelasticity
• Adaptive finite elements for a linear parabolic problem
• Existence of solutions of a dynamic Signorini's problem with nonlocal friction in viscoelasticity
• A viscoelastic Timoshenko beam with dynamic frictionless impact
• Vibrations of a nonlinear dynamic beam between two stops
• Numerical analysis and simulations of a dynamic frictionless contact problem with damage
• Analysis of a dynamic unilateral contact problem for a cracked viscoelastic body
• Existence and regularity for dynamic viscoelastic adhesive contact with damage
• A unified approach to dynamic contact problems in viscoelasticity
• A posteriori error estimates for finite element discretizations of the heat equation
• Analysis of a time discretization for an implicit variational inequality modelling dynamic contact problems with friction
• Ana posteriorierror analysis for dynamic viscoelastic problems
• Dynamic frictional contact of a viscoelastic beam
• Thick obstacle problems with dynamic adhesive contact
• Dynamic frictionless contact in linear viscoelasticity
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
• DYNAMIC CONTACT PROBLEMS WITH SMALL COULOMB FRICTION FOR VISCOELASTIC BODIES: EXISTENCE OF SOLUTIONS
• Some qualitative results on the dynamic viscoelasticity of the reissner-mindlin plate model
• A posteriori analysis of the finite element discretization of some parabolic equations
• A posteriorierror analysis of the fully discretized time-dependent Stokes equations
• Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems
• A CLASS OF EVOLUTIONARY VARIATIONAL INEQUALITIES WITH APPLICATIONS IN VISCOELASTICITY