Non-planar 3D crack growth by the extended finite element and level sets. Part I: Mechanical model - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2002

Non-planar 3D crack growth by the extended finite element and level sets. Part I: Mechanical model

Résumé

A methodology for solving three-dimensional crack problems with geometries that are independent of the mesh is described. The method is based on the extended 5nite element method, in which the crack discontinuity is introduced as a Heaviside step function via a partition of unity. In addition, branch functions are introduced for all elements containing the crack front. The branch functions include asymptotic near-tip fields that improve the accuracy of the method. The crack geometry is described by two signed distance functions, which in turn can be de5ned by nodal values. Consequently, no explicit representation of the crack is needed. Examples for three-dimensional elastostatic problems are given and compared to analytic and benchmark solutions. The method is readily extendable to inelastic fracture problems.
Fichier principal
Vignette du fichier
Moes2002.pdf (282 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01007110 , version 1 (08-01-2024)

Identifiants

Citer

Nicolas Moes, Anthony Gravouil, Ted Belytschko. Non-planar 3D crack growth by the extended finite element and level sets. Part I: Mechanical model. International Journal for Numerical Methods in Engineering, 2002, 53 (11), pp.2549-2568. ⟨10.1002/nme.429⟩. ⟨hal-01007110⟩
237 Consultations
48 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More