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Comprehensive Analysis on Wrinkled Patterns Generated by Inflation and Contraction of Spherical Voids

  • Min-Cheol Lim
  • Jaeyoon Park
  • Ji-Hoon Jung
  • Bongsoo Kim
  • Young-Rok Kim
  • Unyong Jeong
Regular Paper
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Abstract

We comprehensively investigated the wrinkles of a stiff layer covering a spherical void embedded in a rubber matrix after the void experienced inflation or contraction. We developed an easy experimental way to realize the inflation and contraction of the voids. The inflation took place in a void right beneath the surface of the matrix and the contraction happened in a void at the bottom of the rubber matrix. In the inflation, the wrinkle at the center of the deformation was random, and the pattern propagated into rabyrinthine, herringbone, and then oriented parallel lines as the position was away from the center of the inflation to the edge. The cracks were concentric, which were perpendicular to the parallel wrinkled pattern. In the contraction, the wrinkle was simply concentric around the surface of the void without any crack. The cracks were found only near the center of the deformation. The strain distribution in the stiff layer after the inflation and contraction was theoretically analyzed with simulations that were in excellent agreement with the experimental results.

Keywords

Patterned wrinkle Polydimethylsiloxane Void deformation Inflation Contraction 

Nomenclature

p

Pressure

θ

Angle from the y axis of the void

l

Distance from the center of the void

q

Distance from the center of the void after deformation

t

Thickness

h

Distance at θ=0

r

Radius of the initial spherical void

E

Young’S modulus

ε

Strain

k

length along the angle (Δθ) at the deformed state

ζ

Circumference of the void

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References

  1. 1.
    Bowden, N., Brittain, S., Evans, A. G., Hutchinson, J. W., and Whitesides, G. M., “Spontaneous Formation of Ordered Structures in Thin Films of Metals supported on an Elastomeric Polymer,” Nature, Vol. 393, No. 6681, pp. 146–149, 1998.CrossRefGoogle Scholar
  2. 2.
    Pocivavsek, L., Dellsy, R., Kern, A., Johnson, S., Lin, B. H., et al., “Stress and Fold Localization in Thin Elastic Membranes,” Science, Vol. 320, No. 5878, pp. 912–916, 2008.CrossRefGoogle Scholar
  3. 3.
    Huang, R. and Suo, Z., “Very Thin Solid-on-Liquid Structures: The Interplay of Flexural Rigidity, Membrane Force, and Interfacial Force,” Thin Solid Films, Vol. 429, Nos. 1–2, pp. 273–281, 2003.CrossRefGoogle Scholar
  4. 4.
    Jiang, X. Y., Takayama, S., Qian, X. P., Ostuni, E., Wu, H. K., et al., “Controlling Mammalian Cell Spreading and Cytoskeletal Arrangement with Conveniently Fabricated Continuous Wavy Features on Poly(Dimethylsiloxane),” Langmuir, Vol. 18, No. 8, pp. 3273–3280, 2002.CrossRefGoogle Scholar
  5. 5.
    Harrison, C., Stafford, C. M., Zhang, W. H., and Karim, A., “Sinusoidal Phase Grating Created by Tunably Buckled Surface,” Applied Physics Letters, Vol. 85, No. 18, pp. 4016–4018, 2004.CrossRefGoogle Scholar
  6. 6.
    Khang, D. Y., Jiang, H., Huang, Y., and Rogers, J. A., “A Stretchable form of Single-Crystal Silicon for High-Performance Electronics on Rubber Substrates,” Science, Vol. 311, No. 5758, pp. 208–212, 2006.CrossRefGoogle Scholar
  7. 7.
    Malachias, A., Mei, Y. F., Annabattula, R. K., Deneke, C., Onck, P. R., et al., “Wrinkled-Up Nanochannel Networks: Long-Range Ordering, Scalability, and X-ray Inverstigation,” ACS Nano, Vol. 2, No. 8, pp. 1715–1721, 2008.CrossRefGoogle Scholar
  8. 8.
    Stafford, C. M., Vogt, B. D., Harrison, C., Julthongpiput, D., and Huang, R., “Elastic Moduli of Ultrathin Amorphous Polymer Films,” Macromolecules, Vol. 39, No. 15, pp. 5095–5099, 2006.CrossRefGoogle Scholar
  9. 9.
    Kang, S. M., Kim, J. H., and Kim, S. M., “Partial Wrinkle Generation for Switchable Attachment and High Adhesion Hysteresis,” International Journal of Precision Engineering and Manufacturing, Vol. 18, No. 1, pp. 133–137, 2017.CrossRefGoogle Scholar
  10. 10.
    Park, H.-J., Son, C., and Park, S.-H., “Fabrication of Micro-Scale Wrinkles on a Curved Surface Using Weak-Polymerization and Surface Shrinkage,” International Journal of Precision Engineering and Manufacturing, Vol. 15, No. 11, pp. 2469–2471, 2014.CrossRefGoogle Scholar
  11. 11.
    Hyun, D. C., Moon, G. D., Cho, E. C., and Jeong, U., “Repeated Transfer of Colloidal Patterns by Using Reversible Buckling Process,” Advanced Functional Materials, Vol. 19, No. 13, pp. 2155–2162, 2009.CrossRefGoogle Scholar
  12. 12.
    Hyun, D. C., Moon, G. D., Park, C. J., Kim, B. S., Xia, Y., et al., “Buckling-Assisted Patterning of Multiple Polymers,” Advanced Materials, Vol. 22, No. 24, pp. 2642–2646, 2010.CrossRefGoogle Scholar
  13. 13.
    Lee, H.-J., Ahn, D.-G., Song, J.-G., Kim, J.-S., and Kang, E. G., “Fabrication of Beads Using a Plasma Electron Beam and Stellite21 Powders for Additive Manufacturing,” International Journal of Precision Engineering and Manufacturing-Green Technology, Vol. 4, No. 4, pp. 453–456, 2017.CrossRefGoogle Scholar
  14. 14.
    Hyun, D. C., Moon, G. D., Park, C. J., Kim, B. S., Xia, Y., et al., “Strain-Controlled Release of Molecules from Arrayed Microcapsules Supported on an Elastomer Substrate,” Angewandte Chemie International Edition, Vol. 50, No. 3, pp. 724–727, 2011.CrossRefGoogle Scholar
  15. 15.
    Chiche, A., Stafford, C. M., and Cabral, J. T., “Complex Micropatterning of Periodic Structures on Elastomeric Surfaces,” Soft Matter, Vol. 4, No. 12, pp. 2360–2364, 2008.CrossRefGoogle Scholar
  16. 16.
    Ohzono, T., Watanabe, H., Vendamme, R., Kamaga, C., Kunitake, T., et al., “Spatial Forcing of Self-Organized Microwrinkles by Periodic Nanopatterns,” Advanced Materials, Vol. 19, No. 20, pp. 3229–3232, 2007.CrossRefGoogle Scholar
  17. 17.
    Watanabe, M., “Shrink-Induced Striped Pattern on a Thin Gold Film and Switching of Its Prientation,” Journal of Applied Polymer Science, Vol. 101, No. 3, pp. 2040–2044, 2006.CrossRefGoogle Scholar
  18. 18.
    Moon, M. W., Lee, S. H., Sun, J. Y., Oh, K. H., Vaziri, A., et al., “Wrinkled Hard Skins on Polymers Created by Focused Ion Beam,” Proc. of the National Academy Sciences, Vol. 104, No. 4, pp. 1130–1133, 2007.CrossRefGoogle Scholar
  19. 19.
    Li, Z., Yang, D. Y., Liu, X., and Ma, H. W., “Substrate-Induced Controllable Wrinkling for Facile Nanofabrication,” Macromolecular Rapid Communications, Vol. 30, No. 18, pp. 1549–1553, 2009.CrossRefGoogle Scholar
  20. 20.
    Zhang, P., Yang, D., Li Z., and Ma, H., “Controlled Wrinkle Formation via Bubble Inflation Strain Engineering,” Soft Matter, Vol. 6, No. 18, pp. 4580–4584, 2010.CrossRefGoogle Scholar
  21. 21.
    Robb, W. L., “Thin Silicone Membranes-Their Permeation Properties and Some Applications,” Annals of the New York Academy of Sciences, Vol. 146, No. 1, pp. 119–137, 1968.CrossRefGoogle Scholar
  22. 22.
    Huang, J., Juszkiewicz, M., De Jeu, W. H., Cerda, E., Emrick, T., et al., “Capillary Wrinkling of Floating Thin Polymer Films,” Science, Vol. 317, No. 5838, pp. 650–653, 2007.CrossRefGoogle Scholar
  23. 23.
    Kim, H.-J., Seo, K.-J., Kang, K. H., and Kim, D.-E., “Nano-Lubrication: A Review,” International Journal of Precision Engineering and Manufacturing, Vol. 17, No. 6, pp. 829–841, 2017.CrossRefGoogle Scholar
  24. 24.
    Bae, H. and Park, K., “Design and Analysis of Ultrasonic Horn for Polymer Sheet Forming,” International Journal of Precision Engineering and Manufacturing-Green Technology, Vol. 3, No. 1, pp. 49–54, 2016.CrossRefGoogle Scholar
  25. 25.
    Oh, H.-S., Cho, H.-R., Park, H., Hong, S.-T., and Chun, D.-M., “Study of Electrically-Assisted Indentation for Surface Texturing,” International Journal of Precision Engineering and Manufacturing-Green Technology, Vol. 3, No. 2, pp. 161–165, 2016.CrossRefGoogle Scholar
  26. 26.
    Woo, J. Y., Oh, J. H., Han, H., Kim, J.-W., Jo, S., et al., “Ultraclean Contact Transfer of Patterned Ag Electrodes by Thermal Release Tape for Transparent Conductive Electrode,” International Journal of Precision Engineering and Manufacturing, Vol. 17, No. 4, pp. 461–466, 2017.CrossRefGoogle Scholar
  27. 27.
    Hwang, I., Yi, H., Choi, J., and Jeong, H. E., “Fabrication of Bioinspired Dry Adhesives by CNC Machining and Replica Molding,” International Journal of Precision Engineering and Manufacturing, Vol. 18, No. 9, pp. 1239–1244, 2017.CrossRefGoogle Scholar
  28. 28.
    Kang, O. H., Lee, S. H., Yun, J. H., Yi, H., Kwak, M. K., et al., “Adhesion Tunable Bio-Inspired Dry Adhesives by Twisting,” International Journal of Precision Engineering and Manufacturing, Vol. 18, No. 10, pp. 1433–1437, 2017.CrossRefGoogle Scholar
  29. 29.
    Kang, S. M., “Bioinspired Design and Fabrication of Green-Environmental Dry Adhesive with Robust Wide-Tip Shape,” International Journal of Precision Engineering and Manufacturing -Green Technology, Vol. 3, No. 2, pp. 189–192, 2016.CrossRefGoogle Scholar
  30. 30.
    Ji, S., Ha, J., Park, T., Kim, Y., Koo, B., et al., “Substrate-Dependent Growth of Nanothin Film Solid Oxide Fuel Cells toward Cost-Effective Nanostructuring,” International Journal of Precision Engineering and Manufacturing -Green Technology, Vol. 3, No. 1, pp. 35–39, 2016.CrossRefGoogle Scholar

Copyright information

© Korean Society for Precision Engineering 2018

Authors and Affiliations

  1. 1.Graduate School of Biotechnology & Department of Food Science and BiotechnologyKyung Hee UniversityGyeonggi-doRepublic of Korea
  2. 2.Research Group of Consumer SafetyKorea Food Research InstituteJeollabuk-doRepublic of Korea
  3. 3.Department of Materials Science and EngineeringPohang University of Science and TechnologyGyeongsangbuk-doRepublic of Korea

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