A 3D locking-free XFEM formulation for the von Mises elasto-plastic analysis of cracks
The aim of this paper is to propose a mixed XFEM approach for the elasto-plastic analysis of cracks in compressible solid metals. The formulation proposed is capable of taking into account the plastic incompressibility induced by the von Mises yield criterion without leading to a volumetric locking...
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| Published in | Computer methods in applied mechanics and engineering Vol. 361; p. 112805 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
01.04.2020
Elsevier BV Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0045-7825 1879-2138 |
| DOI | 10.1016/j.cma.2019.112805 |
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| Abstract | The aim of this paper is to propose a mixed XFEM approach for the elasto-plastic analysis of cracks in compressible solid metals. The formulation proposed is capable of taking into account the plastic incompressibility induced by the von Mises yield criterion without leading to a volumetric locking phenomenon in 3D. The numerical formulation is regularized without adding parameters to be calibrated or adding equations to be solved as for the subgrid scale methods. The mixed XFEM technique developed has the benefit not to require special care for the numerical integration: hundreds of integration points can be used for integrating the asymptotic enrichment functions into each finite element. Examples are presented to show the relevance, the convergence and the efficiency of the new numerical formulation proposed in the case of linear and quadratic meshes. |
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| AbstractList | The aim of this paper is to propose a mixed XFEM approach for the elasto-plastic analysis of cracks in compressible solid metals. The formulation proposed is capable of taking into account the plastic incompressibility induced by the von Mises yield criterion without leading to a volumetric locking phenomenon in 3D. The numerical formulation is regularized without adding parameters to be calibrated or adding equations to be solved as for the subgrid scale methods. The mixed XFEM technique developed has the benefit not to require special care for the numerical integration: hundreds of integration points can be used for integrating the asymptotic enrichment functions into each finite element. Examples are presented to show the relevance, the convergence and the efficiency of the new numerical formulation proposed in the case of linear and quadratic meshes. |
| ArticleNumber | 112805 |
| Author | Feulvarch, Eric Deschanels, Hubert Lacroix, Rémi |
| Author_xml | – sequence: 1 givenname: Eric surname: Feulvarch fullname: Feulvarch, Eric email: eric.feulvarch@enise.fr organization: Univ. Lyon, ENISE, LTDS, UMR 5513 CNRS, 58 rue Jean Parot, 42023 Saint-Etienne cedex 02, France – sequence: 2 givenname: Rémi surname: Lacroix fullname: Lacroix, Rémi organization: ESI Group, Le Récamier, 70 rue Robert, 69458 Lyon cedex 06, France – sequence: 3 givenname: Hubert surname: Deschanels fullname: Deschanels, Hubert organization: Framatome, 10 rue Juliette Récamier, 69456 Lyon cedex 06, France |
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| Keywords | Fracture mechanics Plastic incompressibility Volumetric locking Mixed formulation XFEM |
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| Snippet | The aim of this paper is to propose a mixed XFEM approach for the elasto-plastic analysis of cracks in compressible solid metals. The formulation proposed is... |
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| SubjectTerms | Compressibility Cracks Engineering Sciences Fracture mechanics Incompressibility Locking Mixed formulation Numerical integration Plastic incompressibility Volumetric locking XFEM Yield criteria |
| Title | A 3D locking-free XFEM formulation for the von Mises elasto-plastic analysis of cracks |
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