Morphogenesis through elastic phase separation in a pneumatic surface

Emmanuel Siéfert; Benoît Roman

doi:10.5802/crmeca.43

Morphogenesis, elasticity

Morphogenesis through elastic phase separation in a pneumatic surface

Emmanuel Siéfert ¹ ; Benoît Roman ¹

¹ PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université Université de Paris, F-75005, Paris, France

Comptes Rendus. Mécanique, Tribute to an exemplary man: Yves Couder, Volume 348 (2020) no. 6-7, pp. 649-657.

Abstract

We report a phenomenon of phase separation that relates in many aspects to Yves Couder’s work: an inflatable architectured elastomer plate, expected to expand homogeneously in its plane, buckles instead widely out-of-plane into very complex shape when internal pressure is applied. We show that this morphogenetic pattern formation is due to a two-dimensional elastic phase separation, which induces incompatible patchy non-Euclidean reference metric.

Published online: 2020-11-16

DOI: 10.5802/crmeca.43

Mots-clés : Pattern formation, Elastic plate, Morphogenesis, Buckling, Phase separation, Inflation

Author's affiliations:

Emmanuel Siéfert ¹; Benoît Roman ¹

¹ PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université Université de Paris, F-75005, Paris, France

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Emmanuel Si\'efert and Beno{\^\i}t Roman},
     title = {Morphogenesis through elastic phase separation in a pneumatic surface},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {649--657},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {348},
     number = {6-7},
     year = {2020},
     doi = {10.5802/crmeca.43},
     language = {en},
}

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Emmanuel Siéfert; Benoît Roman. Morphogenesis through elastic phase separation in a pneumatic surface. Comptes Rendus. Mécanique, Tribute to an exemplary man: Yves Couder, Volume 348 (2020) no. 6-7, pp. 649-657. doi : 10.5802/crmeca.43. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.43/

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