Calculus of Variations and Geometric Measure Theory
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A. Braides - M. Solci - E. Vitali

A derivation of linear elastic energies from pair-interaction atomistic systems

Published Paper
(2007)
Journal: Networks and Heterogeneous Media
Volume: 2
Pages: 551-587
Keywords: Discrete energies, Gamma-convergence

Abstract.

We derive linear elastic energies as a Gamma-limit of pair-interaction two-dimensional (geometrically nonlinear) discrete systems.

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