How paper folds: bending with local constraints

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dc.creatorGuven, Jemal
dc.creatorMueller, Martin Michael
dc.date2007-12-06
dc.date.accessioned2026-07-07T08:55:59Z
dc.date.available2026-07-07T08:55:59Z
dc.descriptionA variational framework is introduced to describe how a surface bends when it is subject to local constraints on its geometry. This framework is applied to describe the patterns of a folded sheet of paper. The unstretchability of paper implies a constraint on the surface metric; bending is penalized by an energy quadratic in mean curvature. The local Lagrange multipliers enforcing the constraint are identified with a conserved tangential stress that couples to the extrinsic curvature of the sheet. The framework is illustrated by examining the deformation of a flat sheet into a generalized cone.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0712.0978
dc.identifierhttp://arxiv.org/abs/0712.0978
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 055203.
dc.identifierdoi:10.1088/1751-8113/41/5/055203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146455
dc.subjectOther Condensed Matter
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleHow paper folds: bending with local constraints
dc.typetext

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