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Swelling-Induced Buckling Patterns in Gel Films with a Square Lattice of Holes Subjected to In-Plane Uniaxial and Biaxial Pretensions

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From Creep Damage Mechanics to Homogenization Methods

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 64))

Abstract

In this study, we investigate swelling-induced buckling patterns in gel films containing a square lattice of holes subjected to in-plane pretensions. In accord with experiments, we simulate poly(dimethylsiloxane) (PDMS) films being prestrained and then swelled using toluene. Films are subjected to uniaxial and bi-axial pretensions before swelling to investigate the potential ability of this system to generate complex buckling patterns. Finite element analysis is performed using an inhomogeneous field theory for polymeric gels. The resulting patterns are found to be highly diverse and depend sensitively on the type and magnitude of pretensions. The patterns arise from either transformation into diamond plate patterns (DPPs) or no pattern transformation. Diagrams of pattern transformation contain three regions of DPPs, transitional patterns, and monotonous patterns. Pretensions both distort the initial arrangement of the square lattice of holes and delay the onset of transformation into DPPs.

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Authors and Affiliations

  1. Department of Mechanical Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan

    Dai Okumura

  2. Department of Computational Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan

    Akira Sasaki

  3. Department of Mechanical Science and Engineering, Nagoya University, Chikusa-ku, Nagoya, 464-8603, Japan

    Nobutada Ohno

Authors
  1. Dai Okumura
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  2. Akira Sasaki
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  3. Nobutada Ohno
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Corresponding author

Correspondence to Dai Okumura .

Editor information

Editors and Affiliations

  1. Otto-von-Guericke-Universität Magdeburg, Fakultät für Maschinenbau, Institut für Mechanik, Lehrstuhl für Technische Mechanik, Universitätsplatz 2, 39106 Magdeburg, Germany

    Holm Altenbach

  2. Department of Engineering Mechanics and Energy, University of Tsukuba, Tsukuba, Japan

    Tetsuya Matsuda

  3. Department of Mechanical Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan

    Dai Okumura

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Okumura, D., Sasaki, A., Ohno, N. (2015). Swelling-Induced Buckling Patterns in Gel Films with a Square Lattice of Holes Subjected to In-Plane Uniaxial and Biaxial Pretensions. In: Altenbach, H., Matsuda, T., Okumura, D. (eds) From Creep Damage Mechanics to Homogenization Methods. Advanced Structured Materials, vol 64. Springer, Cham. https://doi.org/10.1007/978-3-319-19440-0_14

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  • DOI: https://doi.org/10.1007/978-3-319-19440-0_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19439-4

  • Online ISBN: 978-3-319-19440-0

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