caa a22 4500 605515123 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00205-014-0816-z doi (NATIONALLICENCE)springer-10.1007/s00205-014-0816-z Bella Peter Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany aut The Transition Between Planar and Wrinkled Regions in a Uniaxially Stretched Thin Elastic Film [Elektronische Daten] [Peter Bella] We study the transition from flat to wrinkled regions in a uniaxially stretched thin elastic film. We set up a model variational problem, and study the energy of its ground state. Using known scaling bounds for the minimal energy, the minimal energy can be written as a minimum of the underlying (convex) relaxed problem plus a term that grows linearly in the thickness of the film.We show that in the limit of vanishing thickness the prefactor in the scaling law for the original problem can be obtained by minimization of simpler scalar constrained variational problems. Springer-Verlag Berlin Heidelberg, 2014 Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/2(2015-05-01), 623-672 0003-9527 216:2<623 2015 216 205 https://doi.org/10.1007/s00205-014-0816-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0816-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bella Peter Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/2(2015-05-01), 623-672 0003-9527 216:2<623 2015 216 205