Numerical aspects associated with the implementation of a finite strain, elasto-viscoelastic-viscoplastic constitutive theory in principal stretches

DOI10.1002/nme.2850zbMath1193.74149OpenAlexW2125155929MaRDI QIDQ3586915

David W. Holmes, Jeffrey Graham Loughran

Publication date: 1 September 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://eprints.qut.edu.au/109539/1/Holmes%20and%20Loughran%20%282007%29%20FinalSubmission.pdf

zbMATH Keywords

numerical implementationclosest point projectionprincipal stretcheselasto-viscoelastic-viscoplastic

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Nonlinear constitutive equations for materials with memory (74D10)

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Cites Work

• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Operator split methods for the numerical solution of the elastoplastic dynamic problem
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
• A theory of finite viscoelasticity and numerical aspects
• Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. I: Continuum formulations
• Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. II: Computational aspects
• A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
• A generalized orthotropic hyperelastic material model with application to incompressible shells
• A computational model for generalized inelastic materials at finite strains combining elastic, viscoelastic and plastic material behaviour
• On a class of constitutive equations in viscoplasticity: Formulation and computational issues
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