Dynamics of conical singularities: S type d-cones", In Instabilities and Nonequilibrium Structures VII & VIII

Conical singularities or tips of developable cones (d-cones) arising when thin sheets are subjected to large homogeneous deformations are very common but poorly understood structures. This paper reports on the nucleation and motion of these singularities in a cylindrical sheet deformed following a d...

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Detalles Bibliográficos
Autores: Apablaza, V., Melo, F.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Chile
Idioma:inglés
OAI Identifier:oai:repositorio.anid.cl:10533/245916
Acceso en línea:https://hdl.handle.net/10533/245916
Access Level:acceso abierto
Descripción
Sumario:Conical singularities or tips of developable cones (d-cones) arising when thin sheets are subjected to large homogeneous deformations are very common but poorly understood structures. This paper reports on the nucleation and motion of these singularities in a cylindrical sheet deformed following a direction perpendicular to the principal cylinder axis. We show that in this geometry two opposite d- cones are generated. As deformation is increased d-cone tips move apart producing a change in the d-cone topology; from a regular d- cone to a type S d-cone. For metallic sheet, a moving tip gives rise to a wrinkle which is in fact one of the wings of a S type d-cone. By studying the motion of single d-cones tips in simple configurations, we conclude that any tip motion can be decomposed into two elementary processes: climbing and gliding. Both processes occur when forces along the d-cone generators, straight lines ending at d-cone tip, are not equilibrated. Thus, S d-cones can be seen as a natural consequence of a motion of d-cone tip involving both climbing and gliding.