Periodically wrinkled plate model of the Föppl-von Kármán type
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 2, pp. 275-307.

In this paper we derive, by means of Γ-convergence, the periodically wrinkled plate model starting from three dimensional nonlinear elasticity. We assume that the thickness of the plate is h 2 and that the mid-surface of the plate is given by (x 1 ,x 2 )(x 1 ,x 2 ,h 2 θ(x 1 h,x 2 h)), where θ is [0,1] 2 periodic function. We also assume that the strain energy of the plate has the order h 8 =(h 2 ) 4 , which corresponds to the Föppl-von Kármán model in the case of the ordinary plate. The obtained model mixes the bending part of the energy with the stretching part.

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Classification : 74K20, 74B20
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     author = {Vel\v{c}i\'c, Igor},
     title = {Periodically wrinkled plate model of the {F\"oppl-von} {K\'arm\'an} type},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {275--307},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 12},
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Velčić, Igor. Periodically wrinkled plate model of the Föppl-von Kármán type. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 2, pp. 275-307. http://www.numdam.org/item/ASNSP_2013_5_12_2_275_0/

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