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Research Papers

Characterizing the Viscoelastic Properties of Hydrogel Thin Films by Bulge Test

[+] Author and Article Information
Chen Yanfei

College of Civil Engineering and Transportation,
South China University of Technology,
Guangzhou 510640, China;
State Key Laboratory for Turbulence and
Complex Systems,
College of Engineering,
Peking University,
Beijing 100871, China

Ai Shigang

Institute of Engineering Mechanics,
Beijing Jiaotong University,
Beijing 100044, China

Tang Jingda

State Key Lab for Strength and
Vibration of Mechanical Structures,
Department of Engineering Mechanics,
Xi'an Jiaotong University,
Xi'an 710049, China

Pei Yongmao

State Key Laboratory for Turbulence and
Complex Systems,
College of Engineering,
Peking University,
Beijing 100871, China

Tang Liqun

College of Civil Engineering and Transportation,
South China University of Technology,
Guangzhou 510640, China
e-mail: lqtang@scut.edu.cn

Fang Daining

College of Civil Engineering and Transportation,
South China University of Technology,
Guangzhou 510640, China;
State Key Laboratory for Turbulence and
Complex Systems,
College of Engineering,
Peking University,
Beijing 100871, China
e-mail: fangdn@pku.edu.cn

1Corresponding authors.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 2, 2017; final manuscript received March 21, 2017; published online April 18, 2017. Editor: Yonggang Huang.

J. Appl. Mech 84(6), 061005 (Apr 18, 2017) (6 pages) Paper No: JAM-17-1123; doi: 10.1115/1.4036394 History: Received March 02, 2017; Revised March 21, 2017

In this work, we carried out bulge test for quantifying the viscoelastic properties of poly (vinyl alcohol) (PVA) thin films with custom-developed apparatus. A viscoelastic bulge deformation (VBD) model based on the elasticity–viscoelasticity correspondence principle and spherical cap equation is established to describe the bulge deformation of polymeric thin films. The VBD model can be used to determine the time-dependent modulus by bulge test for polymeric films. Uniaxial compressive relaxation test and PRONY series fitting method are used to define the constitutive parameters of the VBD equations. We presented two types of VBD models in frequency domain under linear loading and step loading conditions. Through inverse Laplace transformation, the proposed VBD model can effectively predict the bulge deformation of PVA hydrogel thin film. Numerical simulations are also conducted to validate the VBD model under step loading conditions. This work provides a methodology to characterize the viscoelastic properties of polymeric films by bulge test.

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Figures

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Fig. 1

PVA hydrogel samples. (a) PVA hydrogel columns first crystallized in the mold, (b) completely crystallized PVA hydrogel column at room temperature, and (c) PVA hydrogel thin films fixed on plastic circular rings with graphite powder on the surface.

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Fig. 2

(a) Apparatus of bulge test and (b) spherical cap geometry assumed by Beams to study the bulge deformation

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Fig. 3

(a) Uniaxial compressive relaxation test and (b) the relaxation modulus versus time curve of uniaxial compressive relaxation test

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Fig. 4

Deflection–time curves under step loading condition. Curves are theoretical prediction from VBD model, and dots are from finite element simulation.

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Fig. 5

The comparison of deflection–pressure curves between experimental data and spherical cap model in the bulge test

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Fig. 6

Schematic of the generalized Maxwell model

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Fig. 7

The relaxation modulus versus time curve and three-term PRONY series fitting

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Fig. 8

Comparison of experimental deflection–pressure curve of PVA hydrogel thin film with prediction by VBD model

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