Concurrent multiscale model of an atomic crystal coupled with elastic continua

A methodology based on a Green's function formalism, which enables the coupling between atomic and continuous systems, is employed to evaluate the dynamical properties of concurrent elastic multiscale models. Boundary conditions satisfying the continuity of displacement and stress across interfaces between a harmonic crystal and continua are insufficient to establish seamless coupling at high frequency. The elastic mismatch in coupled discrete/continuous models is inherently linked to the difference in dispersion of the constitutive media.