Abstract
We extend the finite cover method (FCM), which is known as a generalized finite element method, to crack simulations for quasi-brittle heterogeneous solids by using only a regular structured mathematical mesh. The proposed version of the FCM is powered by a method of modeling arbitrary numbers of physical cover layers. This 'multi-cover layer modeling' relies crucially on not only the introduction of multiple layers of physical covers, each of which is associated with a single physical domain, but also the identification of the values of level-set functions for discontinuities, which can be evaluated from their digital image information. Several numerical examples are presented to demonstrate the successful mesh-based mesh-free analyses of heterogeneous solids with arbitrarily evolving cracks and interfacial debonding thanks to the introduction of multiple cover layers.
| Original language | English |
|---|---|
| Pages (from-to) | 1-24 |
| Number of pages | 24 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 79 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2009 Jul 2 |
Keywords
- Cover-layer
- Crack propagation
- Finite cover method
- Heterogeneous media
- Structured mesh
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
- Numerical Analysis