journal article·2010-12

Direct observation of the temporal and spatial dynamics during crumpling

Hillel Aharoni, Eran Sharon

Nature Materials· Volume 9· Issue 12
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Abstract

Crumpling occurs when a thin deformable sheet is crushed under an external load or grows within a confining geometry. Crumpled sheets have large resistance to compression and their elastic energy is focused into a complex network of localized structures. Different aspects of crumpling have been studied theoretically, experimentally and numerically. However, very little is known about the dynamic evolution of three-dimensional spatial configurations of crumpling sheets. Here we present direct measurements of the configurations of a fully elastic sheet evolving during the dynamic process of crumpling under isotropic confinement. We observe the formation of a network of ridges and vertices into which the energy is localized. The network is dynamic. Its evolution involves movements of ridges and vertices. Although the characteristics of ridges agree with theoretical predictions, the measured accumulation of elastic energy within the entire sheet is considerably slower than predicted. This could be a result of the observed network rearrangement during crumpling.
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Research context

OpenAlex topics: Advanced Materials and Mechanics · Micro and Nano Robotics · Modular Robots and Swarm Intelligence

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References (22)

Show source-provided references
1. Witten, T. A. Stress focusing in elastic sheets. Rev. Mod. Phys. 79, 643–675 (2007).10.1103/RevModPhys.79.643 ↗
2. Ben Amar, M. & Pomeau, Y. Crumpled paper. Proc. Math. Phys. Eng Sci. 453, 729–755 (1997).10.1098/rspa.1997.0041 ↗
3. Lobkovsky, A., Gentges, S., Li, H., Morse, D. & Witten, T. A. Scaling properties of stretching ridges in a crumpled elastic sheet. Science 270, 1482–1485 (1995).10.1126/science.270.5241.1482 ↗
4. Plouraboué, F. & Roux, S. Experimental study of the roughness of crumpled surfaces. Physica A 227, 173–182 (1996).10.1016/0378-4371(95)00380-0 ↗
5. Matan, K., Williams, R. B., Witten, T. A. & Nagel, S. R. Crumpling a thin sheet. Phys. Rev. Lett. 88, 076101 (2002).10.1103/PhysRevLett.88.076101 ↗
6. Vliegenthart, G. A. & Gompper, G. Forced crumpling of self-avoiding elastic sheets. Nature Mater. 5, 216–221 (2006).10.1038/nmat1581 ↗
7. Tallinen, T., Åström, J. A. & Timonen, J. The effect of plasticity in crumpling of thin sheets. Nature Mater. 8, 25–29 (2009).10.1038/nmat2343 ↗
8. Venkataramani, S. C. Lower bounds for the energy in a crumpled elastic sheet—a minimal ridge. Nonlinearity 17, 301–312 (2004).10.1088/0951-7715/17/1/017 ↗
9. Cerda, E., Chaïeb, S., Melo, F. & Mahadevan, L. Conical dislocations in crumpling. Nature 401, 46–49 (1999).10.1038/43395 ↗
10. Chaïeb, S., Melo, F. & Géminard, J. Experimental study of developable cones. Phys. Rev. Lett. 80, 2354–2357 (1998).10.1103/PhysRevLett.80.2354 ↗
11. Sultan, E. & Boudaoud, A. Statistics of crumpled paper. Phys. Rev. Lett. 96, 136103 (2006).10.1103/PhysRevLett.96.136103 ↗
12. Blair, D. L. & Kudrolli, A. Geometry of crumpled paper. Phys. Rev. Lett. 94, 166107 (2005).10.1103/PhysRevLett.94.166107 ↗
13. Lin, Y. C., Wang, Y. L., Liu, Y. & Hong, T. M. Crumpling under an ambient pressure. Phys. Rev. Lett. 101, 125504 (2008).10.1103/PhysRevLett.101.125504 ↗
14. Kramer, E. M. & Lobkovsky, A. E. Universal power law in the noise from a crumpled elastic sheet. Phys. Rev. E 53, 1465–1469 (1996).10.1103/PhysRevE.53.1465 ↗
15. Houle, P. A. & Sethna, J. P. Acoustic emission from crumpling paper. Phys. Rev. E 54, 278–283 (1996).10.1103/PhysRevE.54.278 ↗
16. Wang, J. W. & Witten, T. A. Compensation of Gaussian curvature in developable cones is local. Phys. Rev. E 80, 046610 (2009).10.1103/PhysRevE.80.046610 ↗
17. DiDonna, B. A., Witten, T. A., Venkataramani, S. C. & Kramer, E. M. Singularities, structures, and scaling in deformed m-dimensional elastic manifolds. Phys. Rev. E 65, 016603 (2001).10.1103/PhysRevE.65.016603 ↗
18. Tallinen, T., Åström, J. A. & Timonen, J. Deterministic folding in stiff elastic membranes. Phys. Rev. Lett. 101, 106101 (2008).10.1103/PhysRevLett.101.106101 ↗
19. Boudaoud, A., Patricio, P., Couder, Y. & Ben Amar, M. Dynamics of singularities in a constrained elastic plate. Nature 407, 718–720 (2000).10.1038/35037535 ↗
20. Vaziri, A. & Mahadevan, L. Localized and extended deformations of elastic shells. Proc. Natl Acad. Sci. USA 105, 7913–7918 (2008).10.1073/pnas.0707364105 ↗
21. Das, M., Vaziri, A., Kudrolli, A. & Mahadevan, L. Curvature condensation and bifurcation in an elastic shell. Phys. Rev. Lett. 98, 014301 (2007).10.1103/PhysRevLett.98.014301 ↗
22. Haraguchi, K., Takehisa, T. & Fan, S. Effects of clay content on the properties of nanocomposite hydrogels composed of poly(N-isopropylacrylamide) and clay. Macromolecules 35, 10162–10171 (2002).10.1021/ma021301r ↗