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

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.

  Info
Periodical
Key Engineering Materials (Volumes 348-349)
Edited by
J. Alfaiate, M.H. Aliabadi, M. Guagliano and L. Susmel
Pages
77-80
DOI
10.4028/www.scientific.net/KEM.348-349.77
Citation
J. Grasa, J. A. Bea, M. Doblaré, "A Probabilistic Extended Finite Element Approach: Application to the Prediction of Bone Crack Propagation", Key Engineering Materials, Vols. 348-349, pp. 77-80, 2007
Online since
September 2007
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Price
$32.00
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