Nonlinear morphoelastic plates II: Exodus to buckled states

Handle URI:
http://hdl.handle.net/10754/598994
Title:
Nonlinear morphoelastic plates II: Exodus to buckled states
Authors:
McMahon, J.; Goriely, A.; Tabor, M.
Abstract:
Morphoelasticity is the theory of growing elastic materials. The theory is based on the multiplicative decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing non-linear elastic Kirchhoff plate is described. First, a complete geometric description of incompatibility with simple examples is given. Second, the stability of growing Kirchhoff plates is analyzed. © SAGE Publications 2011.
Citation:
McMahon J, Goriely A, Tabor M (2011) Nonlinear morphoelastic plates II: Exodus to buckled states. Mathematics and Mechanics of Solids 16: 833–871. Available: http://dx.doi.org/10.1177/1081286510387234.
Publisher:
SAGE Publications
Journal:
Mathematics and Mechanics of Solids
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
11-May-2011
DOI:
10.1177/1081286510387234
Type:
Article
ISSN:
1081-2865; 1741-3028
Sponsors:
This work was supported by the National Science Foundation under grant DMS-0907773. AG also gratefully acknowledges partial support from Award No. KUK-C1-013-04, made by the King Abdullah University of Science and Technology (KAUST).
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorMcMahon, J.en
dc.contributor.authorGoriely, A.en
dc.contributor.authorTabor, M.en
dc.date.accessioned2016-02-25T13:50:48Zen
dc.date.available2016-02-25T13:50:48Zen
dc.date.issued2011-05-11en
dc.identifier.citationMcMahon J, Goriely A, Tabor M (2011) Nonlinear morphoelastic plates II: Exodus to buckled states. Mathematics and Mechanics of Solids 16: 833–871. Available: http://dx.doi.org/10.1177/1081286510387234.en
dc.identifier.issn1081-2865en
dc.identifier.issn1741-3028en
dc.identifier.doi10.1177/1081286510387234en
dc.identifier.urihttp://hdl.handle.net/10754/598994en
dc.description.abstractMorphoelasticity is the theory of growing elastic materials. The theory is based on the multiplicative decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing non-linear elastic Kirchhoff plate is described. First, a complete geometric description of incompatibility with simple examples is given. Second, the stability of growing Kirchhoff plates is analyzed. © SAGE Publications 2011.en
dc.description.sponsorshipThis work was supported by the National Science Foundation under grant DMS-0907773. AG also gratefully acknowledges partial support from Award No. KUK-C1-013-04, made by the King Abdullah University of Science and Technology (KAUST).en
dc.publisherSAGE Publicationsen
dc.subjectbucklingen
dc.subjectgrowthen
dc.subjectKirchhoff platesen
dc.subjectnon-linear elasticityen
dc.subjectresidual stressen
dc.titleNonlinear morphoelastic plates II: Exodus to buckled statesen
dc.typeArticleen
dc.identifier.journalMathematics and Mechanics of Solidsen
dc.contributor.institutionUniversity of Arizona, Tucson, United Statesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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