Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session G16: Extreme Mechanics
11:30 AM–2:30 PM,
Tuesday, March 7, 2023
Room: Room 208
Sponsoring
Unit:
DSOFT
Chair: Jayson Paulose, University of Oregon
Abstract: G16.00015 : A hamiltonian approach to the bifurcating mechanics of elastocapillary shells held by needles
2:18 PM–2:30 PM
Presenter:
Jean Farago
(CNRS - Universite de Strasbourg - Institut Charles Sadron)
Authors:
Jean Farago
(CNRS - Universite de Strasbourg - Institut Charles Sadron)
Wiebke Drenckhan
(CNRS - University of Strasbourg - Institut Charles Sadron)
The mechanical response of purely elastic shells held by a needle is known to be a notoriously difficult theoretical problem, solved by Föppl and von Karmán after they had realized that the problem is intrinsically non-linear even at modest deformations. In view of that, it is interesting to quantify to what extent this unusual behavior is impacted by an interface combining an interfacial tension ? and an interfacial elasticity Gh, where G is the elastic shear modulus of the polymeric layer and h its thickness. We rationalized this problem in the framework of a Hamiltonian theoretical approach and show that it can be fully analyzed for small deformations. We show that a curious bifurcation occurs when the elastocapillary coefficient Gh/? reaches a certain value which depends on the size of needle to which the initially spherical cap is attached. We discuss also the experimental implications of these results.
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