Surface wrinkles of swelling gels under arbitrary lateral confinements

Chen Hsueh Yang, Yu-Yun Lin

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Based on perturbation analysis, this study investigates surface wrinkling of a gel layer under arbitrary lateral confinements in the equilibrium state of swelling. Gels containing incompressible polymer networks and solvents may incur large deformations and increase the volume by several times after swelling. Owing to the restrictions on lateral expansions and surface imperfections, the instabilities may appear in the form of wrinkling. Wrinkling is strongly governed by the compressibility of swollen gel, confinements and gel thickness. Additionally, gel compressibility is attributed to the migration of solvent under stress at the confined-swelling state, and can be expressed in terms of a confined-swelling volume ratio. This work also discusses possible gel-solvent systems of wrinkling under different confinements. At equal biaxial confinements, the wrinkle pattern is a combination of plane waves with the same wavelength in all directions. Meanwhile, at non-equal biaxial confinements, the wrinkle pattern may be a sum of plane waves with dissimilar wavelengths and corresponding directions.

Original languageEnglish
Pages (from-to)90-100
Number of pages11
JournalEuropean Journal of Mechanics, A/Solids
Volume45
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Swelling
swelling
Wrinkling
wrinkling
Lateral
Gels
gels
Arbitrary
Biaxial
Compressibility
Plane Wave
compressibility
plane waves
Wavelength
Perturbation Analysis
Imperfections
Large Deformation
Equilibrium State
wavelengths
Migration

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mathematical Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

Cite this

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Surface wrinkles of swelling gels under arbitrary lateral confinements. / Yang, Chen Hsueh; Lin, Yu-Yun.

In: European Journal of Mechanics, A/Solids, Vol. 45, 01.01.2014, p. 90-100.

Research output: Contribution to journalArticle

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AB - Based on perturbation analysis, this study investigates surface wrinkling of a gel layer under arbitrary lateral confinements in the equilibrium state of swelling. Gels containing incompressible polymer networks and solvents may incur large deformations and increase the volume by several times after swelling. Owing to the restrictions on lateral expansions and surface imperfections, the instabilities may appear in the form of wrinkling. Wrinkling is strongly governed by the compressibility of swollen gel, confinements and gel thickness. Additionally, gel compressibility is attributed to the migration of solvent under stress at the confined-swelling state, and can be expressed in terms of a confined-swelling volume ratio. This work also discusses possible gel-solvent systems of wrinkling under different confinements. At equal biaxial confinements, the wrinkle pattern is a combination of plane waves with the same wavelength in all directions. Meanwhile, at non-equal biaxial confinements, the wrinkle pattern may be a sum of plane waves with dissimilar wavelengths and corresponding directions.

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