Show simple item record

dc.contributor.authorGregory, Alastairen
dc.contributor.authorAgarwal, Anuragen
dc.contributor.authorLasenby, Joanen
dc.date.accessioned2018-06-08T10:02:38Z
dc.date.available2018-06-08T10:02:38Z
dc.date.issued2017-11-29en
dc.identifier.issn2054-5703
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/276762
dc.description.abstractWe present a novel application of rotors in geometric algebra to represent the change of curvature tensor, that is used in shell theory as part of the constitutive law. We introduce a new decomposition of the change of curvature tensor, which has explicit terms for changes of curvature due to initial curvature combined with strain, and changes in rotation over the surface. We use this decomposition to perform a scaling analysis of the relative importance of bending and stretching in flexible tubes undergoing self excited oscillations. These oscillations have relevance to the lung, in which it is believed that they are responsible for wheezing. The new analysis is necessitated by the fact that the working fluid is air, compared to water in most previous work. We use stereographic imaging to empirically measure the relative importance of bending and stretching energy in observed self excited oscillations. This enables us to validate our scaling analysis. We show that bending energy is dominated by stretching energy, and the scaling analysis makes clear that this will remain true for tubes in the airways of the lung.
dc.format.mediumElectronic-eCollectionen
dc.languageengen
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.titleUsing geometric algebra to represent curvature in shell theory with applications to Starling resistors.en
dc.typeArticle
prism.issueIdentifier11en
prism.publicationDate2017en
prism.publicationNameRoyal Society open scienceen
prism.startingPage171212
prism.volume4en
dc.identifier.doi10.17863/CAM.24058
dcterms.dateAccepted2017-10-27en
rioxxterms.versionofrecord10.1098/rsos.171212en
rioxxterms.versionVoR*
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/en
rioxxterms.licenseref.startdate2017-11-29en
dc.contributor.orcidGregory, Alastair [0000-0003-0667-5861]
dc.contributor.orcidAgarwal, Anurag [0000-0002-0332-2166]
dc.contributor.orcidLasenby, Joan [0000-0002-0571-0218]
dc.identifier.eissn2054-5703
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (1463167)


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International