Comptes Rendus
Morphogenesis, elasticity
Morphogenesis through elastic phase separation in a pneumatic surface
Comptes Rendus. Mécanique, Volume 348 (2020) no. 6-7, pp. 649-657.

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:
DOI: 10.5802/crmeca.43
Keywords: Pattern formation, Elastic plate, Morphogenesis, Buckling, Phase separation, Inflation

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
@article{CRMECA_2020__348_6-7_649_0,
     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},
}
TY  - JOUR
AU  - Emmanuel Siéfert
AU  - Benoît Roman
TI  - Morphogenesis through elastic phase separation in a pneumatic surface
JO  - Comptes Rendus. Mécanique
PY  - 2020
SP  - 649
EP  - 657
VL  - 348
IS  - 6-7
PB  - Académie des sciences, Paris
DO  - 10.5802/crmeca.43
LA  - en
ID  - CRMECA_2020__348_6-7_649_0
ER  - 
%0 Journal Article
%A Emmanuel Siéfert
%A Benoît Roman
%T Morphogenesis through elastic phase separation in a pneumatic surface
%J Comptes Rendus. Mécanique
%D 2020
%P 649-657
%V 348
%N 6-7
%I Académie des sciences, Paris
%R 10.5802/crmeca.43
%G en
%F CRMECA_2020__348_6-7_649_0
Emmanuel Siéfert; Benoît Roman. Morphogenesis through elastic phase separation in a pneumatic surface. Comptes Rendus. Mécanique, 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/

[1] S. Douady; Y. Couder Phys. Rev. Lett., 68 (1992), p. 2098

[2] Y. Couder et al. Eur. Phys. J. B, 28 (2002), p. 135

[3] F. Corson; O. Hamant; S. Bohn; J. Traas; A. Boudaoud; Y. Couder Proc. Natl Acad. Sci. USA, 106 (2009), pp. 8453-8458 | DOI

[4] H. Thomé; M. Rabaud; V. Hakim; Y. Couder Phys. Fluids A, 1 (1989), p. 224

[5] A. Boudaoud; P. Patrício; Y. Couder; M. Ben Amar Nature, 407 (2000), pp. 718-720 | DOI

[6] E. Siéfert; E. Reyssat; J. Bico; B. Roman Nat. Mater., 18 (2019), p. 24

[7] A. Gent Rubber Chem. Technol., 69 (1996), p. 59

[8] E. Chater; J. W. Hutchinson J. Appl. Mech., 51 (1984), p. 269

[9] K. A. Seffen; S. Pellegrino Proc. Math. Phys. Eng. Sci., 455 (1999), p. 1003

[10] S. Kyriakides Advances in Applied Mechanics, Vol. 30, Elsevier, 1993, pp. 67-189

[11] M. Arroyo; I. Arias J. Mech. Phys. Solids, 56 (2008), p. 1224

[12] J. Ericksen J. Elast., 5 (1975), pp. 191-201

[13] B. Audoly; J. W. Hutchinson J. Mech. Phys. Solids, 123 (2019), pp. 149-171 | DOI

[14] G. Gioia; Y. Wang; A. Cuitiño Proc. R. Soc. Lond. A, 457 (2001) no. 2009, pp. 1079-1096

[15] Y. Klein; E. Efrati; E. Sharon Science, 315 (2007) no. 5815, pp. 1116-1120 | DOI

[16] J. Kim; J. A. Hanna; M. Byun; C. D. Santangelo; R. C. Hayward Science, 335 (2012), p. 1201

[17] H. Bense; M. Trejo; E. Reyssat; J. Bico; B. Roman Soft Matter, 13 (2017), p. 2876

Cited by Sources:

Comments - Policy