Crescent singularities and stress focusing in a buckled thin sheet: Mechanics of developable cones

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 5, 1999, Pages 6091-6103

  Chaïeb, Sahraoui ^a   Melo, Francisco ^a  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001146950     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.6091     Document Type: Article

References (30)

1. M. Mutz, D. Bensimon, and M.J. Brienne. Phys. Rev. Lett. 67, 923 (1991).
2. Y. Kantor, M. Kardar, and D.R. Nelson, Phys. Rev. Lett. 57, 791 (1986)
3. Statistical Mechanics of Membranes and Surfaces, edited by D. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989).
4. D.R. Nelson and L. Peliti, J. Phys. (Paris) 48, 1085 (1987)
5. M. Paczuski, M. Kardar, and D.R. Nelson, Phys. Rev. Lett. 60, 2638 (1988)
6. D. Morse, T. Lubensky, and G. Grest, Phys. Rev. A 45, R2151 (1992)
7. D. Bensimon, D. Mukamel, and L. Peliti, Europhys. Lett. 18, 269 (1992)
8. X. Wen, C.W. Garland, T. Hwa, M. Kardar, E. Kokufuta, Y. Li, M. Orkisz, and T. Tanaka, Nature (London) 355, 426 (1992)
9. R. Attal, S. Chaïeb, and D. Bensimon. Phys. Rev. E 48, 2232 (1993)
10. Phys. Rev. EY. Park and C. Kwon, 54, 3032 (1996).
11. M.S. Spector, E. Naranjo, S. Chiruvolu, and J.A. Zasadzinski, Phys. Rev. Lett. 73, 2867 (1994)
12. R.R. Chianelli, E.B. Prestige, T.A. Pecoraro, and J.P. DeNeufville, Science 203, 1105 (1979).
13. M.R. Falvo, G.J. Clary, R.M. Taylor II, V. Chi, F.P. Brooks, Jr., S. Washburn, and R. Superfine, Nature (London) 389, 582 (1997)
14. Nature (London)M.M.J. Treacy, T.W. Ebbesen, and J.M. Gibson, 381, 678 (1996)
15. B.I. Yakobson, C.J. Brabec, and J. Bernholc, Phys. Rev. Lett. 76, 2511 (1996).
16. S. Deser, R. Jackiw, and G. ’t Hooft, Ann. Phys. (N.Y.) 152, 220 (1984).
17. A. Lobkovsky, S. Gentges, H. Li, D. Morse, and T.A. Witten, Science 270, 1482 (1995).
18. Y. Pomeau, C. R. Acad. Sci., Ser. I: Math. 320, 975 (1995).
19. M. Ben Amar and Y. Pomeau, Proc. R. Soc. London, Ser. A 453, 729 (1996).
20. T.A. Witten and H. Li, Europhys. Lett. 23, 51 (1993).
21. E.M. Kramer and T.A. Witten, Phys. Rev. Lett. 78, 1303 (1997).
22. A. Lobkovsky, Phys. Rev. E 53, 3750 (1996)
23. A.E. Lobkovsky and T.A. Witten Phys. Rev. E 55, 1577 (1997).
24. S. Chaïeb and F. Melo, Phys. Rev. E 56, 4736 (1997).
25. S. Chaïeb, F. Melo, and J.C. Géminard, Phys. Rev. Lett. 80, 2354 (1998).
26. E. Cerda and L. Mahadevan, Phys. Rev. Lett. 80, 2358 (1998).
27. S. Chaieb, F. Melo, and J-C. Géminard (unpublished).
28. S. Chaieb and F. Melo, in Instabilities and Nonequilibrium Structures VI, edited by E. Tirapegui and W. Zeller (Kluwer, Dordrecht, 1997).
29. L. Landau and E. Lifchitz, Théorie de l’Élasticité (Mir, Moscow,1967), p. 87.
30. The term (wing) is introduced in 13 to describe the region where the strain persists, although all the energy is concentrated near the singularity.