Abstract
We will present a meshfree method based on the local partition of unity for cohesive cracks. The cracks are described by a jump in the displacement field for particles whose domain of influence is cut by the crack. Particles with partially cut domain of influence are enriched with branch functions. Crack propagation is governed by the material stability condition. Due to the smoothness and higher order continuity, the method is very accurate which is demonstrated for several quasi static and dynamic crack propagation examples.
| Original language | English |
|---|---|
| Pages (from-to) | 743-760 |
| Number of pages | 18 |
| Journal | Computational Mechanics |
| Volume | 39 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2007 May |
Keywords
- Cohesive models
- Cracks
- Dynamic fracture
- Extended element-gree Galerkin method (XEFG)
ASJC Scopus subject areas
- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics