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A derivation of linear elastic energies from pair-interaction atomistic systems. (English) Zbl 1183.74017
Summary: We derive linear elastic energies as a Gamma-limit of pair-interaction two-dimensional (geometrically nonlinear) discrete systems.

MSC:
74B05 Classical linear elasticity
49J45 Methods involving semicontinuity and convergence; relaxation
46E39 Sobolev (and similar kinds of) spaces of functions of discrete variables
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