Extended Finite Element Method
✍ Scribed by Thomas-Peter Fries; Andreas Zilian; Nicolas Moës
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 30 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.3191
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📜 SIMILAR VOLUMES
## Abstract In this paper, the extended finite element method (X‐FEM) is investigated for the solution of hydraulic fracture problems. The presence of an internal pressure inside the crack is taken into account. Special tip functions encapsulating tip asymptotics typically encountered in hydraulic
## Abstract An enriched finite element method for the multi‐dimensional Stefan problems is presented. In this method the standard finite element basis is enriched with a discontinuity in the derivative of the temperature normal to the interface. The approximation can then represent the phase interf
## Abstract The extended finite element method (XFEM) is applied to the simulation of thermally stressed, cracked solids. Both thermal and mechanical fields are enriched in the XFEM way in order to represent discontinuous temperature, heat flux, displacement, and traction across the crack surface,
## Abstract We establish some optimal __a priori__ error estimates on some variants of the eXtended Finite Element Method (Xfem), namely the Xfem with a cut‐off function and the standard Xfem with a fixed enrichment area. Both the Lamé system (homogeneous isotropic elasticity) and the Laplace probl