Spontaneous free-boundary structure in crumpled membranes

Journal of Physical Chemistry B

Volumn 113, Issue 12, 2009, Pages 3738-3742

  Witten, T A ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CURVATURES; BOUNDARY STRUCTURES; CURVATURE REGIONS; EDGE ENERGIES; ELASTIC MEMBRANES; OBJECT SIZES; SHARP EDGES; SQUARE ROOTS;

MEMBRANES;

EID: 65249133525     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp807548s     Document Type: Article

References (19)

1. Israelachvili, J. N. Intermolecular and Surface Forces, 2nd ed.; Academic Press, San Diego, CA, 1998.
2. Safran, S. A. Statistical Thermodynamics of Surfaces, Interfaces, and Membranes; Addison-Wesley: Reading, MA, 1994.
3. De Gennes, P. G.; Taupin, C. J. Phys. Chem. 1982, 86, 2294.
4. Lee, K. Y. C. Annu. Rev. Phys. Chem. 2008, 59, 77191.
5. Lodish, H.; Baltimore, D.; Berk, A.; Zipursky, S. L.; Matsudaira, P.; Darnell, J. Molecular Cell Biolology, 3rd ed.; Scientific American Books: New York, 1995.
6. Discher, D. E.; Eisenberg, A. Polymer vesicles. Science 2002, 297, 967-973.
7. Lvov, Y.; Decher, G.; Mohwald, H. Assembly, structural characterization, and thermal-behavior of layer-by-layer deposited ultrathin films of poly(vinyl sulfate) and poly(allylamine). Langmuir 1993, 9, 481-486.
8. Boal, A. K.; Ilhan, F.; DeRouchey, J. E. Self-assembly of nanoparticles into structured spherical and network aggregates. Nature 2000, 404, 746-748.
9. Py, C.; Reverdy, P.; Doppler, L.; Bico, J.; Roman, B.; Baroud, C. N. Capillary Origami: Spontaneous wrapping of a droplet with an elastic sheet. Phys. Rev. Lett. 2007, 98, 156103.
10. Huang, J.; Juszkiewicz, M.; de Jeu, W. H.; Cerda, E.; Emrick, T.; Menon, N.; Russell, T. P. Capillary wrinkling of floating thin polymer films. Science 2007, 317, 650-653.
11. BenAmar, M.; Pomeau, Y. Crumpled paper. Proc. R. Soc. London, Ser. A 1997, 453, 729-755.
12. Lobkovsky, A. E.; Gentges, S.; Li, H.; Morse, D.; Witten, T. A. Scaling Properties of Stretching Ridges in a Crumpled Elastic Sheet. Science 1995, 270, 1482.
13. Cerda, E.; Mahadevan, L. Conical surfaces and crescent singularities in crumpled sheets. Phys. Rev. Lett. 1998, 80, 2358.
14. Sharon, E.; Roman, B.; Marder, M.; Shin, G. S.; Swinney, H. L. Mechanics: Buckling cascades in free sheets - Wavy leaves may not depend only on their genes to make their edges crinkle. Nature 2002, 419, 579.
15. Cerda, E.; Mahadevan, L. Geometry and physics of wrinkling. Phys. Rev. Lett. 2003, 90, 074302.
16. Witten, T. A. Stress focusing in elastic sheets. Rev. Mod. Phys. 2007, 79, 643-675.
17. Venkataramani, S. C.; Witten, T. A.; Kramer, E. M.; Geroch, R. P. Limitations on the smooth confinement of an unstretchable manifold" . J. Math. Phys. 2000, 41, 5107.
18. Lobkovsky, A. DiDonna, B. and Witten, T. A. University of Chicago, Chicago, IL. Unpublished work, 2009.
19. Lobkovsky, A. E. Boundary Layer Analysis of the Ridge Singularity in a Thin Plate. Phys. Rev. Lett. 1996, 53, 3750.