Conical dislocations in crumpling

Nature

Volumn 401, Issue 6748, 1999, Pages 46-49

  Cerda, Enrique ^a   Chaleb, Sahraoul ^b   Melo, Francisco ^a   Mahadevan, L ^b  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

^b Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GEOMETRY; MOLECULAR STABILITY; PAPER; PRIORITY JOURNAL;

EID: 0033517274     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/43395     Document Type: Article

References (18)

1. Calladine, C. Theory of Shell Structures (Cambridge Univ. Press, Cambridge, 1983).
2. Wierzbicki, T. & Jones, N. (eds) Structural Failure (Wiley Interscience, New York, 1988).
3. Connelly, R. Rigidity and energy. Invent. Math. 66, 11-33 (1982).
4. Nelson, D. R., Piran, T. & Weinberg, S. Statistical Mechanics of Membranes and Surfaces (World Scientific, Singapore, 1988).
5. Amirbayat, J. & Hearle, J. W. S. The complex buckling of flexible sheet materials. Int. J. Mech. Sci. 28, 339-370 (1986).
6. da Vinci, Leonardo Notebooks Vol. I., Studies of Drapery (Dover Reprint, New York, 1984).
7. Rayleigh, Lord, Theory of Sound Vol. I, Ch. X a (Dover, New York, 1945).
8. Lobkovsky, A., Gentges, S., Li, H., Morse, D. & Witten, T. Stretched ridges in crumpling. Science 270, 1482-1485 (1995).
9. Lobkovsky, A. & Witten, T. A. Properties of ridges in elastic membranes. Phys. Rev. E 55, 1577-1589 (1997).
10. Chaieb, S. & Melo, F. Experimental study of developable cones. Phys. Rev. Lett. 80, 2354-2357 (1998).
11. Cerda, E. & Mahadevan, L. Conical surfaces and crescent singularities in crumpled sheets. Phys. Rev. Lett. 80, 2358-2361 (1998).
12. Ben Amar, M. & Pomera, Y. Crumpled paper. Proc. R. Soc. Lond. A 453, 729-755 (1987).
13. Nabarro, F. R. N. Theory of Crystal Dislocations (Dover, New York, 1993).
14. Struik, D. J. Lectures on Classical Differential Geometry (Dover, New York, 1988).
15. Love, A. E. H. A Treatise on the Mathematical Theory of Elasticity (Dover, New York, 1944).
16. Timoshenko, S. & Gere, J. Theory of Elastic Stability (McGraw-Hill, New York, 1961).
17. Kramer, E. & Lobkovsky, A. Universal power law in the noise from a crumpled elastic sheet. Phys. Rev. E 53, 1465-1468 (1996).
18. Houle, P. & Sethna, J. Acoustic emission from crumpling paper. Phys. Rev. E 54, 278-283 (1996).