We show that the Föppl-von Kármán theory arises as a low energy Γ-limit of three-dimensional nonlinear elasticity. A key ingredient in the proof is a generalization to higher derivatives of our rigidity result  that for maps v : (0, 1)3 → ℝ3, the L2 distance of ∇v from a single rotation is bounded by a multiple of the L2 distance from the set SO(3) of all rotations.
|Translated title of the contribution||The Föppl-von Kármán plate theory as a low energy Γ-limit of nonlinear elasticity|
|Number of pages||6|
|Journal||Comptes Rendus Mathematique|
|State||Published - Jul 15 2002|