Abstract: In this paper, we provide a retrospective examination of the developments and applications of the extended finite element method (X-FEM) in computational fracture mechanics. Our main attention is placed on the modeling of cracks (strong discontinuities) for quasistatic crack growth simulations in isotropic linear elastic continua.
J.-H. Prevost and N. Sukumar
Dear Friends,
I have developed a ser of 2-D finite elements for the problems of structural mechanics. These two dimensional elements are capable of accurately predicting three dimensional stress states using three diemnsional constitutive law. My doubt is: can these elements be used for the analysis of 3-D crack propagation using XFEM?. The displacements chosen for these elements are simple.
Subramanian
Treating volumetric inequality constraint in a continuum media with a coupled X-FEM/Level-Set strategy
N. Bonfils, N. Chevaugeon, N. Moës
(accepted for publication in computer Methods in applied mechanics and engineering).
A post-doc position is offered at the Ecole Centrale of Nantes France.
As a follow-up to the discussion here, I am attaching a PUFE homework that I have assigned in 2006 and 2008 when I have offered a meshfree/pufe course. This might be of some help to those who have an interest in partition-of-unity enriched finite element methods.
A one year (renewable) post-doc position is avalaible at the Ecole Centrale of Nantes, France.
The research deals with the simulation of complex cracking patterns in composites using
the eXtended Finite Element method (X-FEM).
To apply : a CV + name of at least two references.
In the attached manuscript, we have coupled the extended finite element method (X-FEM) to the fast marching method (FMM) for non-planar crack growth simuations. Unlike the level set method, the FMM is ideally-suited to advance a monotonically growing front. The FMM is a single-pass algorithm (no iterations) without any time-step restrictions. The perturbation crack solutions due to Gao and Rice (IJF, 1987) and Lai, Movchan and Rodin (IJF, 2002) are used for the purpose of comparisons.
