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dc.contributor.authorGoldman, Daniel I.en_US
dc.contributor.authorUmbanhowar, Paul B.en_US
dc.date.accessioned2012-08-16T20:19:36Z
dc.date.available2012-08-16T20:19:36Z
dc.date.issued2008-02-29
dc.identifier.citationDaniel I. Goldman and Paul B. Umbanhowar, "Scaling and Dynamics of Sphere and Disk Impact into Granular Media, ” Physical Review E, 77, 021308 (2008)en_US
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/1853/44545
dc.description© 2008 The American Physical Societyen_US
dc.descriptionThe electronic version of this article is the complete one and can be found online at: http://link.aps.org/doi/10.1103/PhysRevE.77.021308en_US
dc.descriptionDOI: 10.1103/PhysRevE.77.021308en_US
dc.description.abstractDirect measurements of the acceleration of spheres and disks impacting granular media reveal simple power law scalings along with complex dynamics which bear the signatures of both fluid and solid behavior. The penetration depth scales linearly with impact velocity while the collision duration is constant for sufficiently large impact velocity. Both quantities exhibit power law dependence on sphere diameter and density, and gravitational acceleration. The acceleration during impact is characterized by two jumps: a rapid, velocity-dependent increase upon initial contact and a similarly sharp depth-dependent decrease as the impacting object comes to rest. Examination of the measured forces on the sphere in the vicinity of these features leads to an experimentally based granular force model for collision. We discuss our findings in the context of recently proposed phenomenological models that capture qualitative dynamical features of impact but fail both quantitatively and in their inability to capture significant acceleration fluctuations that occur during penetration and which depend on the impacted material.en_US
dc.language.isoen_USen_US
dc.publisherGeorgia Institute of Technologyen_US
dc.subjectGranular mediaen_US
dc.subjectRheologyen_US
dc.subjectGranular systemsen_US
dc.subjectNon-Newtonian flowsen_US
dc.subjectContinuum mechanics of solidsen_US
dc.titleScaling and Dynamics of Sphere and Disk Impact into Granular Mediaen_US
dc.typeArticleen_US
dc.contributor.corporatenameGeorgia Institute of Technology. School of Physicsen_US
dc.contributor.corporatenameNorthwestern University. Dept. of Mechanical Engineeringen_US
dc.publisher.originalAmerican Physical Societyen_US


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