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)|
|Number of pages||17|
|Journal||International Journal for Multiscale Computational Engineering|
|State||Published - May 18 2012|
- Atomistic to continuum
- Embedded atom model
- Error analysis