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An atomistic derivation of von-Kármán plate theory
Networks and Heterogeneous Media 2022, 17(4): 613-644
Published: 15 August 2022
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We derive von-Kármán plate theory from three dimensional, purely atomistic models with classical particle interaction. This derivation is established as a Γ-limit when considering the limit where the interatomic distance ε as well as the thickness of the plate h tend to zero. In particular, our analysis includes the ultrathin case where ε h, leading to a new von-Kármán plate theory for finitely many layers.

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