Elastobuoyant Heavy Spheres: A Unique Way to Study Nonlinear Elasticity
AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherAMER PHYSICAL SOC
CitationElastobuoyant Heavy Spheres: A Unique Way to Study Nonlinear Elasticity 2016, 6 (4) Physical Review X
JournalPhysical Review X
RightsPublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractLarge deformations in soft elastic materials are ubiquitous, yet systematic studies and methods to understand the mechanics of such huge strains are lacking. Here, we investigate this complex problem systematically with a simple experiment: by introducing a heavy bead of radius a in an incompressible soft elastic medium. We find a scaling law for the penetration depth (delta) of the bead inside the softest gels as delta similar to a(3/2), which is vindicated by an original asymptotic analytic model developed in this article. This model demonstrates that the observed relationship is precisely at the demarcating boundary of what would be required for the field variables to either diverge or converge. This correspondence between a unique mathematical prediction and the experimental observation ushers in new insights into the behavior of the deformations of strongly nonlinear materials.
VersionFinal published version
SponsorsFrench National Research Agency (FAPRES) [ANR-14-CE32-0005]