Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture
Identifieur interne : 000930 ( Main/Exploration ); précédent : 000929; suivant : 000931Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture
Auteurs : Kyoungsoo Park [États-Unis, Corée du Sud] ; Glaucio H. Paulino [États-Unis] ; Waldemar Celes [Brésil] ; Rodrigo Espinha [Brésil]Source :
- International journal for numerical methods in engineering [ 0029-5981 ] ; 2012.
Descripteurs français
- Pascal (Inist)
- Charge dynamique, Propagation fissure, Rupture, Effondrement, Extrémité fissure, Fissure, Structure topologique, Couplage mode, Ramification, Extrémité cohésive, Structure donnée, Méthode adaptative, Méthode raffinement, Génération automatique maille, Modèle dynamique, Equation constitutive, Modélisation, Méthode échelle multiple, Méthode globale locale, Microfissure, Génération maille.
English descriptors
- KwdEn :
- Adaptive method, Automatic mesh generation, Branching, Cohesive end, Collapse, Constitutive equation, Crack, Crack propagation, Crack tip, Data structure, Dynamic load, Dynamic model, Global local method, Mesh generation, Microcrack, Mode coupling, Modeling, Multiscale method, Refinement method, Rupture, Topological structure.
Abstract
Adaptive mesh refinement and coarsening schemes are proposed for efficient computational simulation of dynamic cohesive fracture. The adaptive mesh refinement consists of a sequence of edge-split operators, whereas the adaptive mesh coarsening is based on a sequence of vertex-removal (or edge-collapse) opera- tors. Nodal perturbation and edge-swap operators are also employed around the crack tip region to improve crack geometry representation, and cohesive surface elements are adaptively inserted whenever and wherever they are needed by means of an extrinsic cohesive zone model approach. Such adaptive mesh modification events are maintained in conjunction with a topological data structure (TopS). The so-called PPR potential-based cohesive model (J. Mech. Phys. Solids 2009; 57:891-908) is utilized for the constitutive relationship of the cohesive zone model. The examples investigated include mode I fracture, mixed-mode fracture and crack branching problems. The computational results using mesh adaptivity (refinement and coarsening) are consistent with the results using uniform mesh refinement. The present approach significantly reduces computational cost while exhibiting a multiscale effect that captures both global macro-crack and local micro-cracks.
Affiliations:
- Brésil, Corée du Sud, États-Unis
- Illinois, État de Rio de Janeiro
- Rio de Janeiro, Séoul
- Université pontificale catholique de Rio de Janeiro
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Le document en format XML
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Adaptive method</term>
<term>Automatic mesh generation</term>
<term>Branching</term>
<term>Cohesive end</term>
<term>Collapse</term>
<term>Constitutive equation</term>
<term>Crack</term>
<term>Crack propagation</term>
<term>Crack tip</term>
<term>Data structure</term>
<term>Dynamic load</term>
<term>Dynamic model</term>
<term>Global local method</term>
<term>Mesh generation</term>
<term>Microcrack</term>
<term>Mode coupling</term>
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<term>Multiscale method</term>
<term>Refinement method</term>
<term>Rupture</term>
<term>Topological structure</term>
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<keywords scheme="Pascal" xml:lang="fr"><term>Charge dynamique</term>
<term>Propagation fissure</term>
<term>Rupture</term>
<term>Effondrement</term>
<term>Extrémité fissure</term>
<term>Fissure</term>
<term>Structure topologique</term>
<term>Couplage mode</term>
<term>Ramification</term>
<term>Extrémité cohésive</term>
<term>Structure donnée</term>
<term>Méthode adaptative</term>
<term>Méthode raffinement</term>
<term>Génération automatique maille</term>
<term>Modèle dynamique</term>
<term>Equation constitutive</term>
<term>Modélisation</term>
<term>Méthode échelle multiple</term>
<term>Méthode globale locale</term>
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<front><div type="abstract" xml:lang="en">Adaptive mesh refinement and coarsening schemes are proposed for efficient computational simulation of dynamic cohesive fracture. The adaptive mesh refinement consists of a sequence of edge-split operators, whereas the adaptive mesh coarsening is based on a sequence of vertex-removal (or edge-collapse) opera- tors. Nodal perturbation and edge-swap operators are also employed around the crack tip region to improve crack geometry representation, and cohesive surface elements are adaptively inserted whenever and wherever they are needed by means of an extrinsic cohesive zone model approach. Such adaptive mesh modification events are maintained in conjunction with a topological data structure (TopS). The so-called PPR potential-based cohesive model (J. Mech. Phys. Solids 2009; 57:891-908) is utilized for the constitutive relationship of the cohesive zone model. The examples investigated include mode I fracture, mixed-mode fracture and crack branching problems. The computational results using mesh adaptivity (refinement and coarsening) are consistent with the results using uniform mesh refinement. The present approach significantly reduces computational cost while exhibiting a multiscale effect that captures both global macro-crack and local micro-cracks.</div>
</front>
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