To cite this version: Lasry, Jérémie and Renard, Yves and Salaün, Michel Stress intensity factors computation for bending plates with extended finite element method. (2012) International Journal for Numerical Methods in Engineering, vol. 91 (n° 9). pp. 909-928. ISSN 0029-5981 Open Archive Toulouse Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse rese...

Current neuronavigation systems cannot adapt to changing intraoperative conditions over time. To overcome this limitation, we present an experimental end-to-end system capable of updating 3D preoperative images in the presence of brain shift and successive resections. The heart of our system is a nonrigid registration technique using a biomechanical model, driven by the deformations of key surf...

The paper shows an inf-sup stability property for several well-known 2D and 3D Stokes elements on triangulations which are not fitted to a given smooth or polygonal domain. The property implies stability and optimal error estimates for a class of unfitted finite element methods for the Stokes and Stokes interface problems, such as Nitsche-XFEM or cutFEM. The error analysis is presented for the ...

The recently developed extended finite element method (XFEM) is applied to compute the steady-state energy release rate of channeling cracks in thin films. The method is demonstrated to be able to model arbitrary singularities by using appropriate enriching functions at selected nodes with a relatively coarse mesh. The dimensionless driving force for channeling cracks is obtained as a function ...

TheG-function approach to premixed combustion problems is based on the flamelet concept. Thereby, the flame front is modeled as an embedded interface within the bulk. A level set function is used to describe the position of the flame front. To account for discontinuities in the velocity and the pressure fields across the interface, an eXtended Finite Element Method (XFEM) is applied. That is, t...

We consider a quasi-stationary Stokes interface problem with a reaction term proportional to τ = 1/∆t ≥ 0 as obtained by a time discretization of a time-dependent Stokes problem. The mesh used for space discretization is not aligned with the interface. We use the P1 extended finite element space for the pressure approximation and the standard conforming P2 finite element space for the velocity ...