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dc.contributor.authorMcMahon, J.
dc.contributor.authorGoriely, A.
dc.contributor.authorTabor, M.
dc.date.accessioned2016-02-25T13:50:48Z
dc.date.available2016-02-25T13:50:48Z
dc.date.issued2011-05-11
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.
dc.identifier.issn1081-2865
dc.identifier.issn1741-3028
dc.identifier.doi10.1177/1081286510387234
dc.identifier.urihttp://hdl.handle.net/10754/598994
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.
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).
dc.publisherSAGE Publications
dc.subjectbuckling
dc.subjectgrowth
dc.subjectKirchhoff plates
dc.subjectnon-linear elasticity
dc.subjectresidual stress
dc.titleNonlinear morphoelastic plates II: Exodus to buckled states
dc.typeArticle
dc.identifier.journalMathematics and Mechanics of Solids
dc.contributor.institutionUniversity of Arizona, Tucson, United States
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04


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