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dc.contributor.authorCai, Shengqiang
dc.contributor.authorBreid, Derek
dc.contributor.authorCrosby, Alfred J.
dc.contributor.authorSuo, Zhigang
dc.contributor.authorHutchinson, John W.
dc.date.accessioned2013-01-08T16:03:42Z
dc.date.issued2011
dc.identifier.citationCai, Shengqiang, Derek Breid, Alfred J. Crosby, Zhigang Suo, and John W. Hutchinson. 2011. Periodic patterns and energy states of buckled films on compliant substrates. Journal of the Mechanics and Physics of Solids 59(5): 1094-1114.en_US
dc.identifier.issn0022-5096en_US
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:10140032
dc.description.abstractThin stiff films on compliant elastic substrates subject to equi-biaxial compressive stress states are observed to buckle into various periodic mode patterns including checkerboard, hexagonal and herringbone. An experimental setting in which these modes are observed and evolve is described. The modes are characterized and ranked by the extent to which they reduce the elastic energy of the film–substrate system relative to that of the unbuckled state over a wide range of overstress. A new mode is identified and analyzed having nodal lines coincident with an equilateral triangular pattern. Two methods are employed to ascertain the energy in the buckled state: an analytical upper-bound method and a full numerical analysis. The upper-bound is shown to be reasonably accurate to large levels of overstress. For flat films, except at small states of overstress where the checkerboard is preferred, the herringbone mode has the lowest energy, followed by the checkerboard, with the hexagonal, triangular, and one-dimensional modes lowering the energy the least. At low overstress, the hexagonal mode is observed in the experiments not the square mode. It is proposed that a slight initial curvature of the film may play role in selecting the hexagonal pattern accompanied by a detailed analysis. An intriguing finding is that the hexagonal and triangular modes have the same energy in the buckled state and, moreover, a continuous transition between these modes exists involving a linear combination of the two modes with no change in energy. Experimental observations of various periodic modes are discussed with reference to the energy landscape. Discrepancies between observations and theory are identified and open issues are highlighted.en_US
dc.description.sponsorshipEngineering and Applied Sciencesen_US
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.relation.isversionofdoi:10.1016/j.jmps.2011.02.001en_US
dc.relation.hasversionhttp://www.seas.harvard.edu/suo/papers/246.pdfen_US
dc.relation.hasversionhttp://www.deas.harvard.edu/suo/papers/246.pdfen_US
dc.relation.hasversionhttp://www.deas.harvard.edu/hutchinson/papers/Wrinklepatterns2011.pdfen_US
dc.relation.hasversionhttp://www.seas.harvard.edu/hutchinson/papers/Wrinklepatterns2011.pdfen_US
dash.licenseOAP
dc.subjectcompliant substratesen_US
dc.subjectbucklingen_US
dc.subjectwrinklingen_US
dc.subjectmode transitionsen_US
dc.subjectthin filmsen_US
dc.titlePeriodic Patterns and Energy States of Buckled Films on Compliant Substratesen_US
dc.typeJournal Articleen_US
dc.description.versionAccepted Manuscripten_US
dc.relation.journalJournal of the Mechanics and Physics of Solidsen_US
dash.depositing.authorHutchinson, John W.
dc.date.available2013-01-08T16:03:42Z
dc.identifier.doi10.1016/j.jmps.2011.02.001*
dash.contributor.affiliatedHutchinson, John
dash.contributor.affiliatedSuo, Zhigang


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