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

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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.

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Abbreviations

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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Author information

Author notes

  1. Min-Cheol Lim and Jaeyoon Park contributed equally to this work

Authors and Affiliations

  1. Graduate School of Biotechnology & Department of Food Science and Biotechnology, Kyung Hee University, 1732, Deogyeong-daero, Giheung-gu, Yongin-si, Gyeonggi-do, 17104, Republic of Korea

    Min-Cheol Lim, Ji-Hoon Jung & Young-Rok Kim

  2. Research Group of Consumer Safety, Korea Food Research Institute, 245, Nongsaengmyeong-ro, Iseo-myeon, Wanju-gun, Jeollabuk-do, 55365, Republic of Korea

    Min-Cheol Lim

  3. Department of Materials Science and Engineering, Pohang University of Science and Technology, 77, Cheongam-ro, Nam-gu, Pohang-si, Gyeongsangbuk-do, 37673, Republic of Korea

    Jaeyoon Park, Bongsoo Kim & Unyong Jeong

Authors
  1. Min-Cheol Lim
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  2. Jaeyoon Park
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Corresponding authors

Correspondence to Young-Rok Kim or Unyong Jeong.

Additional information

Min-Cheol Lim Senior researcher in Korea Food Research Institute. His research interest is development of pretreatment systems and biosensors for the detection of pathogenic bacteria and pesticides in foods.

Jaeyoon Park Senior Researcher in LG Display. His research interest is design and fabrication of displays.

Ji-Hoon Jung Researcher in COSMAX Co. Ltd. His research interest is developing anti-aging functional materials.

Bongsoo Kim Senior Researcher in LG Chem. His research interest is porous energy materials.

Young-Rok Kim Professor in Department of Food Science and Biotechnology, Kyung Hee University. His research interest is functional biomaterials.

Unyong Jeong Professor in the Department of Material Science and Engineering, POSTECH. His research interest is flexible/stretchable electronics.

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Lim, MC., Park, J., Jung, JH. et al. Comprehensive Analysis on Wrinkled Patterns Generated by Inflation and Contraction of Spherical Voids. Int. J. of Precis. Eng. and Manuf.-Green Tech. 5, 651–658 (2018). https://doi.org/10.1007/s40684-018-0068-8

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  • DOI: https://doi.org/10.1007/s40684-018-0068-8

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