X-FEM

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.

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.

Hello,

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.

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.