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Consistent Energy-Based Atomistic/Continuum Coupling for Two-Body Potentials in Three Dimensions

Consistent Energy-Based Atomistic/Continuum Coupling for Two-Body Potentials in Three Dimensions

Very few works exist to date on development of a consistent energy-based coupling of atomistic and continuum models of materials in more than one dimension. The difficulty in constructing such a coupling consists in defining a coupled energy whose minimizers are free from uncontrollable errors on the atomistic/continuum interface. In …