Mechanical response of a self-avoiding membrane: fold collisions and the birth of conical singularities.

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dc.contributor.authorMellado, P.en
dc.contributor.authorCheng, S.en
dc.contributor.authorConcha, A.en
dc.contributor.departmentPhysicsen
dc.coverage.spatialUnited Statesen
dc.date.accessioned2017-02-25T19:33:52Zen
dc.date.available2017-02-25T19:33:52Zen
dc.date.issued2011-03en
dc.description.abstractAn elastic membrane that is forced to reside in a container smaller than its natural size will deform and upon further volume reduction eventually crumple. The crumpled state is characterized by the localization of energy in a complex network of highly deformed crescent-like regions joined by line ridges. In this article we study through a combination of experiments, numerical simulations, and analytic approaches the emergence of localized regions of high stretching when a self-avoiding membrane is subject to a severe geometrical constraint. Based on our experimental observations and numerical results we suggest that at moderate packing fraction interlayer interactions produce a response equivalent to that of a thicker membrane that has the shape of the deformed one. We find that new conical dislocations, coined satellite d-cones, appear as the deformed membrane further compactifies. When these satellite d-cones are born, a substantial relaxation of the mechanical response of the membrane is observed. Evidence is found that friction plays a key role in stabilizing the folded structures.en
dc.description.versionPublished versionen
dc.format.extent036607 - ? page(s)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.83.036607en
dc.identifier.eissn1550-2376en
dc.identifier.issue3 Pt 2en
dc.identifier.urihttp://hdl.handle.net/10919/75161en
dc.identifier.volume83en
dc.languageengen
dc.relation.urihttp://www.ncbi.nlm.nih.gov/pubmed/21517616en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleMechanical response of a self-avoiding membrane: fold collisions and the birth of conical singularities.en
dc.title.serialPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen
dc.typeArticle - Refereeden
dc.type.otherResearch Support, U.S. Gov't, Non-P.H.S.en
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen

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