Abstract
A theory for spatial lattices is presented in a variational setting and conditions restricting stable deformations are discussed. In particular, new results on the second variation of the energy are established and used to generate pointwise necessary conditions for locally energy-minimizing configurations.
Sommario
Viene presentata una teoria per i reticoli spaziali in un ambito variazionale e sono inoltre discusse condizioni che limitano deformazioni stabili. In particolare vengono stabiliti nuovi risultati sulla variazione seconda dell'energia. Tali risultati vengono usati per stabilire condizioni necessarie puntuali per configurazioni che minimizzano l'energia localmente.
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Steigmann, D.J. The variational structure of a nonlinear theory for spatial lattices. Meccanica 31, 441–455 (1996). https://doi.org/10.1007/BF00429932
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DOI: https://doi.org/10.1007/BF00429932