In the stationary case, atomistic interaction energies can be proved to Gamma-converge to classical elasticity models in the simultaneous atomistic-to-continuum and linearization limit. In this talk we extend the analysis to the dynamic setting. Moving within the framework of Schmidt ('09), we prove that solutions of the equation of motion driven by atomistic deformation energies converge to the solution of the momentum equation for the corresponding continuum energy of linearized elasticity. The proof is based on reformulating the evolution problem in terms of Energy-Dissipation principles and the application of the classical evolutionary Gamma-convergence approach by Sandier and Serfaty ('04).
This is joint work with Manuel Friedrich (FAU Erlangen) and Ulisse Stefanelli (University of Vienna).

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