Consistent tangent stiffness for local-nonlocal damage modelling of metals

In the present study we consider an adaptation of Nguyen's model [6] for brittle materials to the case of ductile rupture. We focus our attention on the formulation of a consistent tangent stiffness matrix which is essential for the efficiency and convergence of the implementation within a fini...

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Main Authors: Belnoue, J, Nguyen, G, Korsunsky, A
Format: Journal article
Language:English
Published: Elsevier 2009
Subjects:
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author Belnoue, J
Nguyen, G
Korsunsky, A
author_facet Belnoue, J
Nguyen, G
Korsunsky, A
author_sort Belnoue, J
collection OXFORD
description In the present study we consider an adaptation of Nguyen's model [6] for brittle materials to the case of ductile rupture. We focus our attention on the formulation of a consistent tangent stiffness matrix which is essential for the efficiency and convergence of the implementation within a finite element framework. We demonstrate the capability of the model to generate mesh-independent results and to follow the rupture process very close to failure. Rupture analysis of thin plates of different geometry is presented (symmetric double notch-edged specimen, asymmetric double notch-edged specimen, double notch-edged specimen containing a hole). Further modifications are outlined required to simulate crack growth and paths under the conditions of creep and fatigue.
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spelling oxford-uuid:f814e7d9-fadc-4298-b0bd-df29b328323b2022-03-27T12:47:44ZConsistent tangent stiffness for local-nonlocal damage modelling of metalsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f814e7d9-fadc-4298-b0bd-df29b328323bEngineering & allied sciencesCivil engineeringEnglishOxford University Research Archive - ValetElsevier2009Belnoue, JNguyen, GKorsunsky, AIn the present study we consider an adaptation of Nguyen's model [6] for brittle materials to the case of ductile rupture. We focus our attention on the formulation of a consistent tangent stiffness matrix which is essential for the efficiency and convergence of the implementation within a finite element framework. We demonstrate the capability of the model to generate mesh-independent results and to follow the rupture process very close to failure. Rupture analysis of thin plates of different geometry is presented (symmetric double notch-edged specimen, asymmetric double notch-edged specimen, double notch-edged specimen containing a hole). Further modifications are outlined required to simulate crack growth and paths under the conditions of creep and fatigue.
spellingShingle Engineering & allied sciences
Civil engineering
Belnoue, J
Nguyen, G
Korsunsky, A
Consistent tangent stiffness for local-nonlocal damage modelling of metals
title Consistent tangent stiffness for local-nonlocal damage modelling of metals
title_full Consistent tangent stiffness for local-nonlocal damage modelling of metals
title_fullStr Consistent tangent stiffness for local-nonlocal damage modelling of metals
title_full_unstemmed Consistent tangent stiffness for local-nonlocal damage modelling of metals
title_short Consistent tangent stiffness for local-nonlocal damage modelling of metals
title_sort consistent tangent stiffness for local nonlocal damage modelling of metals
topic Engineering & allied sciences
Civil engineering
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AT nguyeng consistenttangentstiffnessforlocalnonlocaldamagemodellingofmetals
AT korsunskya consistenttangentstiffnessforlocalnonlocaldamagemodellingofmetals