Extended Finite Element Method for Crack Propagation

2013 ◽  
Author(s):  
Sylvie Pommier ◽  
Anthony Gravouil ◽  
Alain Combescure ◽  
Nicolas Moës
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Extended Finite Element Method ◽  
Extended Finite Element ◽  
Element Method

A Probabilistic Extended Finite Element Approach: Application to the Prediction of Bone Crack Propagation

2007 ◽  
Vol 348-349 ◽  
pp. 77-80 ◽  
Author(s):  
Jorge Grasa ◽  
José Antonio Bea ◽  
Manuel Doblaré
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Extended Finite Element Method ◽  
Partition Of Unity ◽  
Point Of View ◽  
Extended Finite Element ◽  
Neck Fracture ◽  
Element Approach ◽  
Element Method

The Extended Finite Element Method (XFEM), has become a well-known tool to simulate crack propagation problems using non-structured meshes avoiding the remeshing process usually needed in this type of problems and allowing the inclusion of appropriate shape functions that reflect the asymptotic displacement field, near the crack tip, via a partition of unity fracture approach. However, in this kind of numerical applications, all the variables involved have been considered as deterministic (defined by a single given value), despite the well-known uncertainty associated to many of them (external loads, geometry and material properties, among others). The combination of the XFEM and probabilistic techniques is here proposed and formulated allowing treating fracture mechanics problems from a probabilistic point of view. We present the implementation of this probabilistic extended finite element method and apply it to the prediction of the appearance and propagation of a femur’s neck fracture under probabilistic loads.

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