Stress defocusing in anisotropic compaction of thin sheets

Physical Review Letters

Volumn 108, Issue 7, 2012, Pages

  Roman, B ^a   Pocheau, A ^b  

^a ESPCI   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CURVED CYLINDERS; DEFOCUSING; DEVELOPABLE CONES; PLASTIC REGIMES; STRETCHING ENERGY; THIN SHEET;

ANISOTROPY; CONES; CYLINDERS (SHAPES);

COMPACTION;

EID: 84857296470     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.074301     Document Type: Article

References (23)

1. T.A. Witten, Rev. Mod. Phys. 79, 643 (2007). RMPHAT 0034-6861 10.1103/RevModPhys.79.643 (Pubitemid 46677004)
2. J. Genzer and J. Groenewold, Soft Matter SMOABF 1744-683X 2, 310 (2006). 10.1039/b516741h
3. V.M. Pereira, A. H. Castro Neto, H.Y. Liang, and L. Mahadevan, Phys. Rev. Lett. 105, 156603 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.156603
4. H. Aharoni and E. Sharon, Nature Mater. 9, 993 (2010). NMAACR 1476-1122 10.1038/nmat2893
5. Y.C. Lin, Y.L. Wang, Y. Liu, and T.M. Hong, Phys. Rev. Lett. 101, 125504 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.125504
6. K. Matan, R.B. Williams, T.A. Witten, and S.R. Nagel, Phys. Rev. Lett. 88, 076101 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.076101
7. J. Hure, B. Roman, and J. Bico, Phys. Rev. Lett. 106, 174301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.174301
8. A. Boudaoud, P. Patricio, Y. Couder, and M. Ben Amar, Nature (London) NATUAS 0028-0836 407, 718 (2000). 10.1038/35037535
9. M. Ben Amar and Y. Pomeau, Proc. R. Soc. A PRLAAZ 1364-5021 453, 729 (1997). 10.1098/rspa.1997.0041
10. A.E. Lobkovsky, S. Gentges, H. Li, D. Morse, and T. Witten, Science 270, 1482 (1995). SCIEAS 0036-8075 10.1126/science.270.5241.1482
11. A.E. Lobkovsky, Phys. Rev. E PLEEE8 1063-651X 53, 3750 (1996). 10.1103/PhysRevE.53.3750
12. A.E. Lobkovsky and T.A. Witten, Phys. Rev. E PLEEE8 1063-651X 55, 1577 (1997). 10.1103/PhysRevE.55.1577
13. S. Chaïeb, F. Melo, and J.-C. Géminard, Phys. Rev. Lett. 80, 2354 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2354
14. E. Cerda and L. Mahadevan, Phys. Rev. Lett. 80, 2358 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2358
15. E. Cerda, S. Chaïeb, F. Melo, and L. Mahadevan, Nature (London) NATUAS 0028-0836 10.1038/43395 401, 46 (1999). (Pubitemid 29418436)
16. B. Roman and A. Pocheau, Europhys. Lett. 46, 602 (1999). EULEEJ 0295-5075 10.1209/epl/i1999-00306-3
17. B. Roman and A. Pocheau, J. Mech. Phys. Solids JMPSA8 0022-5096 50, 2379 (2002). 10.1016/S0022-5096(02)00028-5 (Pubitemid 34946675)
18. H. Chai, J. Mech. Phys. Solids 46, 1155 (1998). JMPSA8 0022-5096 10.1016/S0022-5096(98)00004-0
19. A. Pogorelov, Bendings of Surfaces and Stability of Shells (American Mathematical Society, Providence, 1988).
20. B. Audoly and Y. Pomeau, Elasticity and Geometry: From Hair Curls to the Non-Linear Response of Shells (Oxford University Press, Oxford, 2010).
21. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.074301 for a movie of the sheet compression from Figs. to.
22. L. Landau and E. Lifshitz, Theory of Elasticity (Elsevier, New York, 1986).
23. B. Du, O.C. Tsui, Q. Zhang, and T. He, Langmuir 17, 3286 (2001). LANGD5 0743-7463 10.1021/la001434a (Pubitemid 35330438)