Numerical modelling in non linear fracture mechanics

Some numerical studies of crack propagation are based on using constitutive models that account for damage evolution in the material. When a critical damage value has been reached in a material point, it is natural to assume that this point has no more carrying capacity, as is done numerically in th...

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Main Author: Viggo Tvergaard
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2013-04-01
Series:Fracture and Structural Integrity
Online Access:https://www.fracturae.com/index.php/fis/article/view/18
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author Viggo Tvergaard
author_facet Viggo Tvergaard
author_sort Viggo Tvergaard
collection DOAJ
description Some numerical studies of crack propagation are based on using constitutive models that account for damage evolution in the material. When a critical damage value has been reached in a material point, it is natural to assume that this point has no more carrying capacity, as is done numerically in the element vanish technique. In the present review this procedure is illustrated for micromechanically based material models, such as a ductile failure model that accounts for the nucleation and growth of voids to coalescence, and a model for intergranular creep failure with diffusive growth of grain boundary cavities leading to micro-crack formation. The procedure is also illustrated for low cycle fatigue, based on continuum damage mechanics. In addition, the possibility of crack growth predictions for elastic-plastic solids using cohesive zone models to represent the fracture process is discussed.
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series Fracture and Structural Integrity
spelling doaj-art-b24f4a9fb9f64283b9e5d8e974eeecc32025-08-20T02:51:46ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932013-04-011110.3221/IGF-ESIS.01.03Numerical modelling in non linear fracture mechanicsViggo Tvergaard0Dept. of Mechanical Engineering, Solid mechanics, Technical University of DenmarkSome numerical studies of crack propagation are based on using constitutive models that account for damage evolution in the material. When a critical damage value has been reached in a material point, it is natural to assume that this point has no more carrying capacity, as is done numerically in the element vanish technique. In the present review this procedure is illustrated for micromechanically based material models, such as a ductile failure model that accounts for the nucleation and growth of voids to coalescence, and a model for intergranular creep failure with diffusive growth of grain boundary cavities leading to micro-crack formation. The procedure is also illustrated for low cycle fatigue, based on continuum damage mechanics. In addition, the possibility of crack growth predictions for elastic-plastic solids using cohesive zone models to represent the fracture process is discussed.https://www.fracturae.com/index.php/fis/article/view/18
spellingShingle Viggo Tvergaard
Numerical modelling in non linear fracture mechanics
Fracture and Structural Integrity
title Numerical modelling in non linear fracture mechanics
title_full Numerical modelling in non linear fracture mechanics
title_fullStr Numerical modelling in non linear fracture mechanics
title_full_unstemmed Numerical modelling in non linear fracture mechanics
title_short Numerical modelling in non linear fracture mechanics
title_sort numerical modelling in non linear fracture mechanics
url https://www.fracturae.com/index.php/fis/article/view/18
work_keys_str_mv AT viggotvergaard numericalmodellinginnonlinearfracturemechanics