In this paper we derive, by means of -convergence, the periodically wrinkled plate model starting from three dimensional nonlinear elasticity. We assume that the thickness of the plate is and that the mid-surface of the plate is given by , where is periodic function. We also assume that the strain energy of the plate has the order , 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.
@article{ASNSP_2013_5_12_2_275_0, 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}, number = {2}, year = {2013}, mrnumber = {3114006}, zbl = {1271.74290}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2013_5_12_2_275_0/} }
TY - JOUR AU - Velčić, Igor TI - Periodically wrinkled plate model of the Föppl-von Kármán type JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2013 SP - 275 EP - 307 VL - 12 IS - 2 PB - Scuola Normale Superiore, Pisa UR - http://www.numdam.org/item/ASNSP_2013_5_12_2_275_0/ LA - en ID - ASNSP_2013_5_12_2_275_0 ER -
%0 Journal Article %A Velčić, Igor %T Periodically wrinkled plate model of the Föppl-von Kármán type %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2013 %P 275-307 %V 12 %N 2 %I Scuola Normale Superiore, Pisa %U http://www.numdam.org/item/ASNSP_2013_5_12_2_275_0/ %G en %F ASNSP_2013_5_12_2_275_0
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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