Abstract
The quasi-nonlocal quasicontinuum method (QNL) is a consistent hybrid coupling method for atomistic and continuum models. Embedded atom models are empirical many-body potentials that are widely used for fcc metals such as copper and aluminum. In this paper, we consider the QNL method for EAM potentials and give a stability and error analysis for a chain with next-nearest-neighbor interactions. We identify conditions for the pair potential, electron density function, and embedding function so that the lattice stability of the atomistic and EAM-QNL models are asymptotically equal.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 33-49 |
| Number of pages | 17 |
| Journal | International Journal for Multiscale Computational Engineering |
| Volume | 10 |
| Issue number | 1 |
| State | Published - 2012 |
Keywords
- Atomistic to continuum
- Embedded atom model
- Error analysis
- Quasi-Nonlocal
- Quasicontinuum