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Modeling Stationary and Evolving Discontinuities with Finite Elements
Moës, Nicolas; Béchet, Eric
2003In Onate, E.; Owen, D. R. J. (Eds.) VII International Conference on Computational Plasticity COMPLAS 2003
Peer reviewed
 

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Keywords :
Arbitrary Discontinuity; Fracture; X-FEM; level sets
Abstract :
[en] A methodology for treating non-planar three-dimensional cracks with geometries that are independent of the mesh is summarized. The method is based on the extended finite 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 crack geometry is described by two signed distance functions (level sets), which in turn can be defined by nodal values. Consequently, no explicit representation of the crack is needed. A Hamilton-Jacobi equation is used to update the level sets as the crack grows. Numerical experiments show the robustness of the method in treating cracks with significant changes in topology. The method is readily extendable to inelastic fracture problems.
Disciplines :
Mechanical engineering
Materials science & engineering
Computer science
Author, co-author :
Moës, Nicolas;  Ecole Centrale de Nante 1 Rue de la Noë, 44321 Nantes FRANCE
Béchet, Eric ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur
Language :
English
Title :
Modeling Stationary and Evolving Discontinuities with Finite Elements
Publication date :
2003
Event name :
VII International Conference on Computational Plasticity
Event place :
Barcelona, Spain
Audience :
International
Main work title :
VII International Conference on Computational Plasticity COMPLAS 2003
Author, co-author :
Owen, D. R. J.
Editor :
Onate, E.
Publisher :
CIMNE, Barcelona, Spain
Peer reviewed :
Peer reviewed
Available on ORBi :
since 21 January 2010

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