Abstract
A combination of the extended finite element method (XFEM) and the mesh superposition method (s-version FEM) for modelling of stationary and growing cracks is presented. The near-tip field is modelled by superimposed quarter point elements on an overlaid mesh and the rest of the discontinuity is implicitly described by a step function on partition of unity. The two displacement fields are matched through a transition region. The method can robustly deal with stationary crack and crack growth. It simplifies the numerical integration of the weak form in the Galerkin method as compared to the s-version FEM. Numerical experiments are provided to demonstrate the effectiveness and robustness of the proposed method.
Original language | English |
---|---|
Pages (from-to) | 1119-1136 |
Number of pages | 18 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 59 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2004 Feb 28 |
Externally published | Yes |
Keywords
- Crack
- Extended finite element
- Mesh superposition
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics