Scaling behavior in non-Hookean compression of thin-walled structures

Physical Review Letters

Volumn 105, Issue 6, 2010, Pages

  Tallinen, T ^a   Ojajarvi J ^a   Astrom J A ^b   Timonen, J ^a  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b IT Center for Science   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSION FORCE; CYLINDRICAL SHELL; GENERIC SCALING LAWS; NORMAL BEHAVIOR; NUMERICAL SIMULATION; SCALING BEHAVIOR; STRUCTURAL MECHANICS; THEORETICAL SCALING LAW; THIN-WALLED;

COMPUTER SIMULATION; MECHANICS; SCALING LAWS;

THIN WALLED STRUCTURES;

EID: 77955330372     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.066102     Document Type: Article

References (26)

1. S.P. Timoshenko, Theory of Elastic Stability (Dover, New York, 2009).
2. C. Fellers, Carton Board-The Profitable use of Pulps and Processes (STFI, Stockholm, 1983).
3. T. von Karman, E. Sechler, and H. Donnell, Trans. ASME TASMAV 0097-6822 54, 53 (1932).
4. E. Cerda and L. Mahadevan, Phys. Rev. Lett. 90, 074302 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.074302
5. J. Huang, Science 317, 650 (2007). SCIEAS 0036-8075 10.1126/science. 1144616 (Pubitemid 47229961)
6. B. Davidovitch, Phys. Rev. E PLEEE8 1539-3755 80, 025202(R) (2009). 10.1103/PhysRevE.80.025202
7. E. Sharon, B. Roman, M. Marder, G. Shin, and H.L. Swinney, Nature (London) 419, 579 (2002). NATUAS 0028-0836 10.1038/419579a
8. B. Audoly and A. Boudaoud, Phys. Rev. Lett. 91, 086105 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.086105
9. Y. Pomeau and S. Rica, C.R. Acad. Sci., Ser. IIb CMCAEK 1251-8069 325, 181 (1997). 10.1016/S1251-8069(97)88276-0
10. S. Conti, A. DeSimone, and S. Müller, Comput. Methods Appl. Mech. Eng. CMMECC 0045-7825 194, 2534 (2005). 10.1016/j.cma.2004.07.044 (Pubitemid 40465034)
11. W. Jin and P. Sternberg, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 42, 192 (2001). 10.1063/1.1316058
12. H. Ben Belgacem, S. Conti, A. DeSimone, and S. Müller, J. Nonlinear Sci. 10, 661 (2000). JNSCEK 0938-8974 10.1007/s003320010007
13. A.E. Lobkovsky, S. Gentges, H. Li, D. Morse, and T.A. Witten, Science 270, 1482 (1995). SCIEAS 0036-8075 10.1126/science.270.5241.1482
14. A.E. Lobkovsky, Phys. Rev. E PLEEE8 1539-3755 53, 3750 (1996). 10.1103/PhysRevE.53.3750
15. T.A. Witten, Rev. Mod. Phys. 79, 643 (2007). RMPHAT 0034-6861 10.1103/RevModPhys.79.643 (Pubitemid 46677004)
16. B.A. DiDonna and T.A. Witten, Phys. Rev. Lett. 87, 206105 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.206105
17. B.A. DiDonna, Phys. Rev. E PLEEE8 1539-3755 66, 016601 (2002). 10.1103/PhysRevE.66.016601 (Pubitemid 40599103)
18. L.D. Landau, Theory of Elasticity (Pergamon, Oxford, 1986), 3rd. ed.
19. A.V. Pogorelov, Bendings of Surfaces and Stability of Shells (AMS, Providence, 1988).
20. S.C. Venkataramani, T.A. Witten, E.M. Kramer, and R.P. Geroch, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 41, 5107 (2000). 10.1063/1.533394
21. See supplementary material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.105.066102 for details of the collapsed regime.
22. T. Tallinen, J.A. Åström, and J. Timonen, Nature Mater. NMAACR 1476-1122 8, 25 (2009). 10.1038/nmat2343
23. E. Zhu, P. Mandal, and C.R. Calladine, Int. J. Mech. Sci. 44, 1583 (2002). IMSCAW 0020-7403 10.1016/S0020-7403(02)00065-6 (Pubitemid 34946810)
24. G. Gioia and M. Ortiz, Adv. Appl. Mech. 33, 119 (1997). AAMCAY 0065-2156 10.1016/S0065-2156(08)70386-7
25. E. Cerda, S. Chaieb, F. Melo, and L. Mahadevan, Nature (London) 401, 46 (1999). NATUAS 0028-0836 10.1038/43395 (Pubitemid 29418436)
26. M. Das, A. Vaziri, A. Kudrolli, and L. Mahadevan, Phys. Rev. Lett. 98, 014301 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.014301 (Pubitemid 46135089)