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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Vydané v:	Computer methods in applied mechanics and engineering Ročník 199; číslo 17; s. 961 - 978
Hlavní autori:	Pannachet, T., Díez, P., Askes, H., Sluys, L.J.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier B.V 01.03.2010 Elsevier
Predmet:	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
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Abstract	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.
AbstractList	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. 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.
Author	Díez, P. Pannachet, T. Askes, H. Sluys, L.J.
Author_xml	– sequence: 1 givenname: T. surname: Pannachet fullname: Pannachet, T. email: tanpan@kku.ac.th organization: Khon Kaen University, Faculty of Engineering, Ampor Muang, Khon Kaen 40002, Thailand – sequence: 2 givenname: P. surname: Díez fullname: Díez, P. organization: Universitat Politècnica de Catalunya, Departament de Matemàtica Aplicada III, Jordi Girona 1–3, E-08034 Barcelona, Spain – sequence: 3 givenname: H. surname: Askes fullname: Askes, H. organization: University of Sheffield, Department of Civil and Structural Engineering, Mappin Street, S1 3JD Sheffield, UK – sequence: 4 givenname: L.J. surname: Sluys fullname: Sluys, L.J. organization: Delft University of Technology, Faculty of Civil Engineering and Geosciences, P.O. Box 5048, 2600 GA Delft, The Netherlands
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Snippet	This paper deals with the adaptive finite element analysis of structural failure. A gradient-enhanced damage model has been chosen to simulate material...
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SubjectTerms	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
Title	Error assessment and mesh adaptivity for regularized continuous failure models
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