%0 Journal Article %T Analytical results for the wrinkling of graphene on nanoparticles %+ Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 (LAMFA) %+ Université de Picardie Jules Verne (UPJV) %+ Laboratoire de Physique de la Matière Condensée - UR UPJV 2081 (LPMC) %A Guedda, Mohammed %A Alaa, N. %A Benlahsen, M. %< avec comité de lecture %@ 2470-0045 %J Physical Review E %I American Physical Society (APS) %V 94 %N 4 %8 2016 %D 2016 %R 10.1103/PhysRevE.94.042806 %Z Mathematics [math]Journal articles %X A continuum elastic model, describing the wrinkling instability of graphene on substrate-supported silica nanoparticles [M. Yamamoto et al., Phys. Rev. X 2, 041018 (2012)], is analytically studied, and an exact analytical expression of the critical nanoparticle separation or the maximum wrinkle length is derived. Our findings agree with the scaling property of Yamamoto et al. but improve their results. Moreover, from the elastic model we find a pseudomagnetic field as a function of the wrinkling deflection, leading to the conclusion that the middle of the wrinkled graphene may have a zero pseudomagnetic field, in marked contrast with previous results. %G English %L hal-03621266 %U https://u-picardie.hal.science/hal-03621266 %~ CNRS %~ UNIV-PICARDIE %~ INSMI %~ U-PICARDIE %~ LAMFA %~ LPMC-UPJV