A Green's function method is described for multiscale modeling of point defectssuch as vacancies and interstitials at the atomistic level and extended defects such as free surfaces and interfaces at the macroscopic continuum level in a solid. The point defects are represented in terms of Kanzaki forces using the lattice statics Green's function which can model a large crystallite containing a million atoms without excessive CPU effort. The lattice statics Green's function reduces to the continuum Green's function in the asymptotic limit which is used to model the extended defects by imposing continuum model boundary conditions. Numerical results are presented for the displacement field on the free surface due to a vacancy in semi-infinite fee copper.
Citation: MRS Symposium
Pub Type: Journals
free surfaces, Green's functions, multiscale modeling, point defects