Models, algorithms and error estimation for computational viscoelasticity

DOI10.1016/J.CMA.2004.05.013zbMath1067.74066OpenAlexW2093192156MaRDI QIDQ1777107

Niranjan Chakravarthy

Publication date: 12 May 2005

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.2004.05.013

zbMATH Keywords

large strainsmall straina posteriori error estimatesViscoelasticityAdaptivityconstrained membranes inflation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Linear constitutive equations for materials with memory (74D05) Membranes (74K15) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (7)

Analysis of mixed finite element methods for the standard linear solid model in viscoelasticity ⋮ Computational modelling of thermoforming processes in the case of finite viscoelastic materials ⋮ A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation ⋮ Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model ⋮ The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme ⋮ A dynamic viscoelastic contact problem with normal compliance ⋮ On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review

Cites Work

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• Adaptive finite element methods in computational mechanics
• Space-time finite element methods for second-order hyperbolic equations
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Negative norm error control for second-kind convolution Volterra equations
• A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems
• Numerical models of steady rolling for non‐linear viscoelastic structures in finite deformations
• Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems
• Optimal long-time \(L_p(0,T)\) stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem

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