Error assessment and mesh adaptivity for regularized continuous failure models

This paper deals with the adaptive finite element analysis of structural failure. A gradient-enhanced damage model has been chosen to simulate material degradation. Since this model is regularized in the post-peak regime, the finite element solution does not suffer from pathological mesh dependence...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 199; no. 17; pp. 961 - 978
Main Authors: Pannachet, T., Díez, P., Askes, H., Sluys, L.J.
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 01.03.2010
Elsevier
Subjects:
Computer simulation
Damage
Error analysis
Error estimation
Errors
Estimates
Exact sciences and technology
Finite element method
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Goal-oriented error estimation
Gradient-enhanced damage model
Mathematical analysis
Mathematical models
Physics
Quantity of interest
Solid mechanics
Structural and continuum mechanics
Gradient-enhanced damage model
Error estimation
Quantity of interest
Goal-oriented error estimation
Refinement method
Rupture
Automatic mesh generation
Modeling
Adaptive method
Finite element method
Mesh generation
Non local theory
Damaging
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:This paper deals with the adaptive finite element analysis of structural failure. A gradient-enhanced damage model has been chosen to simulate material degradation. Since this model is regularized in the post-peak regime, the finite element solution does not suffer from pathological mesh dependence and thus converges to an objective solution upon mesh refinement. However, the error analyses have shown that the error in the nonlocal equivalent strain field becomes dominant during the post-peak loading stages. The accuracy of the nonlocal equivalent strain field (and the corresponding damage quantity) also greatly influences the accuracy of the quantity of interest. Two error measures have been proposed. The goal-oriented error estimates have provided similar error distributions, although some small differences have been found in the softening regime. Objective error estimates, together with adaptive criteria, have been used to perform automated h-adaptivity during computation.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2009.11.010