Post-buckling dynamics of spherical shells

Marcel Mokbel (1, 2) , Adel Djellouli (3, 4) , Catherine Quilliet (3) , Sebastian Aland (2, 1) , Gwennou Coupier (3)

1 HTW Dresden - Hochschule für Technik und Wirtschaft [Dresden]
2 TU Bergakademie Freiberg - Technishe Universität Bergakademie Freiberg
3 LIPhy - Laboratoire Interdisciplinaire de Physique [Saint Martin d’Hères]
4 Harvard University

We explore the intrinsic dynamics of spherical shells immersed in a fluid in the vicinity of their buckled state, through experiments and three-dimensional axisymmetric simulations. The results are supported by a theoretical model that accurately describes the buckled shell as a two-variable-only oscillator. We quantify the effective ‘softening’ of shells above the buckling threshold, as observed in recent experiments on interactions between encapsulated microbubbles and acoustic waves. The main dissipation mechanism in the neighbouring fluid is also evidenced.

Domaines: Mécanique des fluides [physics.class-ph]; Matière Molle [cond-mat.soft]; Acoustique [physics.class-ph]

Marcel Mokbel, Adel Djellouli, Catherine Quilliet, Sebastian Aland, Gwennou Coupier. Post-buckling dynamics of spherical shells. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 477 (2253), pp.20210378. ⟨10.1098/rspa.2021.0378⟩. ⟨hal-03337833⟩