A frictionless viscoelastodynamic contact problem with energy consistent properties: numerical analysis and computational aspects

DOI10.1016/j.cma.2008.10.004zbMath1229.74108OpenAlexW1968829551MaRDI QIDQ658162

Y. Ayyad, José R. Fernández, Mikäel Barboteu

Publication date: 11 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.cma.2008.10.004

zbMATH Keywords

error estimatesviscoelasticitynumerical simulationsunilateral contactdynamic contactenergy-conserving scheme

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)

Related Items (13)

Numerical analysis of a nonmonotone dynamic contact problem of a non-clamped piezoelectric viscoelastic body ⋮ Analysis of a dynamic frictional contact problem for hyperviscoelastic material with non-convex energy density ⋮ Numerical analysis of a dynamic bilateral thermoviscoelastic contact problem with nonmonotone friction law ⋮ Energy conservation and dissipation properties of time‐integration methods for nonsmooth elastodynamics with contact ⋮ Analysis of a dynamic contact problem with nonmonotone friction and non-clamped boundary conditions ⋮ Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem ⋮ An improved normal compliance method for dynamic hyperelastic problems with energy conservation property ⋮ An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues ⋮ A dynamic viscoelastic contact problem with normal compliance, finite penetration and nonmonotone slip rate dependent friction ⋮ Mixed interpretation and extensions of the equivalent mass matrix approach for elastodynamics with contact ⋮ Inexact primal-dual active set method for solving elastodynamic frictional contact problems ⋮ Regularity and Rothe method error estimates for parabolic hemivariational inequality ⋮ A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments

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