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dc.contributor.authorTallinen, Tuomas
dc.contributor.authorBiggins, John S.
dc.date.accessioned2016-01-29T07:18:08Z
dc.date.available2016-01-29T07:18:08Z
dc.date.issued2015
dc.identifier.citationTallinen, T., & Biggins, J. S. (2015). Mechanics of invagination and folding: Hybridized instabilities when one soft tissue grows on another. <em>Physical Review E</em>, 92 (2), 022720. <a href="http://dx.doi.org/10.1103/PhysRevE.92.022720">doi:10.1103/PhysRevE.92.022720</a>
dc.identifier.otherTUTKAID_67077
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/48514
dc.description.abstractWe address the folding induced by differential growth in soft layered solids via an elementary model that consists of a soft growing neo-Hookean elastic layer adhered to a deep elastic substrate. As the layer-to-substrate modulus ratio is varied from above unity toward zero, we find a first transition from supercritical smooth folding followed by cusping of the valleys to direct subcritical cusped folding, then another to supercritical cusped folding. Beyond threshold, the high-amplitude fold spacing converges to about four layer thicknesses for many modulus ratios. In three dimensions, the instability gives rise to a wide variety of morphologies, including almost degenerate zigzag and triple-junction patterns that can coexist when the layer and substrate are of comparable softness. Our study unifies these results providing understanding for the complex and diverse fold morphologies found in biology, including the zigzag precursors to intestinal villi, and disordered zigzags and triple junctions in mammalian cortex.
dc.language.isoeng
dc.publisherAmerican Physical
dc.relation.ispartofseriesPhysical Review E
dc.subject.othersoft layered solids
dc.subject.otherfolding
dc.subject.otherfold morphology
dc.titleMechanics of invagination and folding: Hybridized instabilities when one soft tissue grows on another
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201601201180
dc.contributor.laitosFysiikan laitosfi
dc.contributor.laitosDepartment of Physicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2016-01-20T10:15:19Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.relation.issn1539-3755
dc.relation.volume92
dc.type.versionpublishedVersion
dc.rights.copyright©2015 American Physical Society
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1103/PhysRevE.92.022720


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