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X-FEM

N. Sukumar's picture

Perspective article on the X-FEM in computational fracture

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.

3-D crack propagation using 2-D dimensional finite element

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

A paper on ILS : Inequality level set : A new approach to handle inequality constraints

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).

N. Sukumar's picture

PUFE homework exercise

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.

Post-Doctoral position available on X-FEM for the simulation of fracture in composites

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.

 

 

N. Sukumar's picture

Non-planar crack growth (X-FEM and fast marching)

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.

Post-doctoral position in Computational Stochastic Mechanics, Nantes, France

Post-doctoral position - Stochastic computational techniques to deal with uncertainties on the geometry in structural analysis

The post-doctoral student will join the pole "Structures and Couplings" of the Research Institute en Civil Engineering and Mechanics (GeM), Nantes, France (Nantes University, Ecole Centrale Nantes, CNRS UMR 6183)

We have recently been awarded a Research Project by the French National Research Agency. This project addresses theorical and numerical developments in the field of stochastic computational mechanics. The main goal of this project is to develop a robust computational technique to deal with uncertainties on the geometry in structural analysis. The proposed methodology lies on the extension of the Extended Finite Element Method (X-FEM) into the stochastic framework and the development of efficient computational techniques for solving stochastic systems.

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