Three-dimensional structure of a sheet crumpled into a ball

Proceedings of the National Academy of Sciences of the United States of America

Volumn 108, Issue 36, 2011, Pages 14741-14745

  Cambou, Anne Dominique ^a   Menon, Narayanan ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

Elasticity of thin sheets; Nonequilbrium packing; Nonthermal crumpling; Stress focusing

Indexed keywords

ANISOTROPY; ARTICLE; GEOMETRY; ILLUMINATION; IMAGE ANALYSIS; IMAGE RECONSTRUCTION; MICRO-COMPUTED TOMOGRAPHY; PRIORITY JOURNAL; RADIATION; THREE DIMENSIONAL IMAGING;

EID: 80052585875     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1019192108     Document Type: Article

References (21)

1. Lobkovsky A, Witten TA (1997) Properties of ridges in elastic membranes. Phys Rev E Stat Nonlin Soft Matter Phys 55:1577-1589. (Pubitemid 127607507)
2. Witten TA (2007) Stress focusing in elastic sheets. Rev Mod Phys 79:643-675.
3. Cerda E, Sahraoui C, Francisco M, Mahadevan L (1999) Conical dislocations in crumpling. Nature 401:46-49.
4. Chaieb S, Melo F, Géminard JC (1998) Experimental study of developable cones. Phys Rev Lett 80:2358-2357.
5. Donato CC, Gomes MAF (2007) Condensation of elastic energy in two-dimensional packing of wires. Phys Rev E Stat Nonlin Soft Matter Phys 75:066113.
6. Deboeuf S, Adda-Bedia M, Boudaoud A (2009) Energy distributions and effective temperature in the packing of elastic sheets. Europhys Lett 85:24002.
7. Aristoff D, Radin C (2010) Layering in crumpled sheets. Europhys Lett 91:56003.
8. Venkataramani SC, Witten TA, Kramer EM, Geroch RP (2000) Limitations on the smooth confinement of an unstretchable manifold. J Math Phys 41:5107.
9. Vliegenthart GA, Gompper G (2006) Forced crumpling of self-avoiding elastic sheets. Nat Mater 5:216-221. (Pubitemid 43320637)
10. Tallinen T, Åström JA, Timonen J (2009) The effect of plasticity in crumpling of thin sheets. Nat Mater 8:25-29.
11. Blair D, Kudrolli A (2005) Geometry of crumpled paper. Phys Rev Lett 94:166107.
12. Aharoni H, Sharon E (2010) Direct observation of the temporal and spatial dynamics during crumpling. Nat Mater 9:993-997.
13. Lin YC, et al. (2009) Spontaneous emergence of ordered phases in crumpled sheets. Phys Rev Lett 103:293902.
14. Lin YC, et al. (2009) X-ray tomography of a crumpled plastoelastic thin sheet. Phys Rev E Stat Nonlin Soft Matter Phys 80:066114.
15. Gomes MAF (1987) Fractal geometry in crumpled paper balls. Am J Phys 55:649.
16. Balankin AS, Cortes Montes de Oca R, Samayoa Ochoa D (2007) Intrinsically anomalous self-similarity of randomly folded matter. Phys Rev E Stat Nonlin Soft Matter Phys 76:032101.
17. Balankin AS, Campos Silva I, Martinez OA, Susarrey Huerta O (2007) Scaling properties of randomly folded plastic sheets. Phys Rev E Stat Nonlin Soft Matter Phys 75:051117.
18. Kamien RD (2002) The geometry of soft materials: A primer. Rev Mod Phys 74:953-971.
19. ASM International Handbook Committee (1993) Data for alluminum alloy 1145-H19. Aluminum and Aluminum Alloys (ASM International, Materials Park, OH) p 64.
20. DiDonna B, Witten TA (2001) Anomalous strength of membranes with elastic ridges. Phys Rev Lett 87:206105.
21. Couturier E (2009) Folds and shapes of leaves. PhD thesis (University of Paris-Diderot, Paris 7, Paris).