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ISSN Print: 1543-1649
ISSN Online: 1940-4352
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ANALYSIS OF THE QUASI-NONLOCAL QUASICONTINUUM APPROXIMATION OF THE EMBEDDED ATOM MODEL
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.
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