Crescent singularities and stress focusing in a developable cone

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dc.creatorChaieb, Sahraoui
dc.creatorMelo, Francisco
dc.date1998-06-03
dc.date1998-06-09
dc.date.accessioned2026-07-07T03:10:45Z
dc.date.available2026-07-07T03:10:45Z
dc.descriptionwe investigate developable cones (d-cones) topology and mechanical properties. We found that for a sample of a finite thickness the singularity is never pointlike but has a spatial extension in form of a crescent. The variations of the sheet local curvature versus the distance from the d-cone tip for all deformations showed that the d-cone tip is rejected by a distance which depends on the deformation and on the singularity extension. A further deformation of the d-cone leads to a transition to a plastic deformation equivalent to a decrease in the singularity size characterized from curvature and profile analysis. The crescent radius of curvature is measured both at small deformations and at large deformations. It is found that during the buckling process, the curvature of the crescent exhibit two different scaling versus the deformation.From the cone profile, we measured the reaction force of the plate to deformation and from force measurements, the energy necessary to create the singularity is characterized.
dc.description35 pages (Revtex), 24 figures (encapsulated postscript), typos corrected and figure replaced
dc.identifierhttps://arxiv.org/abs/cond-mat/9806049
dc.identifierhttp://arxiv.org/abs/cond-mat/9806049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28327
dc.subjectMaterials Science
dc.titleCrescent singularities and stress focusing in a developable cone
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