Handle URI:
http://hdl.handle.net/10754/597588
Title:
Anticavitation and Differential Growth in Elastic Shells
Authors:
Moulton, Derek E.; Goriely, Alain
Abstract:
Elastic anticavitation is the phenomenon of a void in an elastic solid collapsing on itself. Under the action of mechanical loading alone typical materials do not admit anticavitation. We study the possibility of anticavitation as a consequence of an imposed differential growth. Working in the geometry of a spherical shell, we seek radial growth functions which cause the shell to deform to a solid sphere. It is shown, surprisingly, that most material models do not admit full anticavitation, even when infinite growth or resorption is imposed at the inner surface of the shell. However, void collapse can occur in a limiting sense when radial and circumferential growth are properly balanced. Growth functions which diverge or vanish at a point arise naturally in a cumulative growth process. © 2010 Springer Science+Business Media B.V.
Citation:
Moulton DE, Goriely A (2010) Anticavitation and Differential Growth in Elastic Shells. Journal of Elasticity 102: 117–132. Available: http://dx.doi.org/10.1007/s10659-010-9266-5.
Publisher:
Springer Nature
Journal:
Journal of Elasticity
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
22-Jul-2010
DOI:
10.1007/s10659-010-9266-5
Type:
Article
ISSN:
0374-3535; 1573-2681
Sponsors:
This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), and based in part upon work supported by the National Science Foundation under grant DMS-0907773 (A.G.).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorMoulton, Derek E.en
dc.contributor.authorGoriely, Alainen
dc.date.accessioned2016-02-25T12:42:37Zen
dc.date.available2016-02-25T12:42:37Zen
dc.date.issued2010-07-22en
dc.identifier.citationMoulton DE, Goriely A (2010) Anticavitation and Differential Growth in Elastic Shells. Journal of Elasticity 102: 117–132. Available: http://dx.doi.org/10.1007/s10659-010-9266-5.en
dc.identifier.issn0374-3535en
dc.identifier.issn1573-2681en
dc.identifier.doi10.1007/s10659-010-9266-5en
dc.identifier.urihttp://hdl.handle.net/10754/597588en
dc.description.abstractElastic anticavitation is the phenomenon of a void in an elastic solid collapsing on itself. Under the action of mechanical loading alone typical materials do not admit anticavitation. We study the possibility of anticavitation as a consequence of an imposed differential growth. Working in the geometry of a spherical shell, we seek radial growth functions which cause the shell to deform to a solid sphere. It is shown, surprisingly, that most material models do not admit full anticavitation, even when infinite growth or resorption is imposed at the inner surface of the shell. However, void collapse can occur in a limiting sense when radial and circumferential growth are properly balanced. Growth functions which diverge or vanish at a point arise naturally in a cumulative growth process. © 2010 Springer Science+Business Media B.V.en
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), and based in part upon work supported by the National Science Foundation under grant DMS-0907773 (A.G.).en
dc.publisherSpringer Natureen
dc.subjectAnticavitationen
dc.subjectCavitationen
dc.subjectDifferential growthen
dc.subjectElasticityen
dc.titleAnticavitation and Differential Growth in Elastic Shellsen
dc.typeArticleen
dc.identifier.journalJournal of Elasticityen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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