Constitutive model development and micro-structural topology optimisation for Nafion hydrogel membranes with ionic clustering

Article


Li, Hua, Yuan, Z., Ng, T. Y., Lee, H. P., Lam, K. Y., Wang, Q. X., Wu, Shunnian, Fu, Jie and Hanes, Justin. 2003. "Constitutive model development and micro-structural topology optimisation for Nafion hydrogel membranes with ionic clustering." Journal of Biomaterials Science: Polymer Edition. 14 (11), pp. 1181-1196. https://doi.org/10.1163/156856203322553428
Article Title

Constitutive model development and micro-structural topology optimisation for Nafion hydrogel membranes with ionic clustering

ERA Journal ID1673
Article CategoryArticle
AuthorsLi, Hua (Author), Yuan, Z. (Author), Ng, T. Y. (Author), Lee, H. P. (Author), Lam, K. Y. (Author), Wang, Q. X. (Author), Wu, Shunnian (Author), Fu, Jie (Author) and Hanes, Justin (Author)
Journal TitleJournal of Biomaterials Science: Polymer Edition
Journal Citation14 (11), pp. 1181-1196
Number of Pages16
Year2003
Place of PublicationUnited Kingdom
ISSN0920-5063
1568-5624
Digital Object Identifier (DOI)https://doi.org/10.1163/156856203322553428
Web Address (URL)https://www.tandfonline.com/doi/abs/10.1163/156856203322553428
Abstract

The deployment of electroactive ionic polymer hydrogel-metal composites in artificial muscle and BioMEMS applications has recently been intensively investigated. In order to analyse their electromechanical responses to externally applied electrical fields, it is critical to develop a constitutive model linking the macro-mechanical moduli with the micro-mechanical characteristics, and to determine the geometric size and shape of the micro-structural cluster and investigate the effect of cluster morphology on the effective electro-elastic moduli of the polymer hydrogels. As a typical ionic polymer-based hydrogel, the Nafion membrane is studied in this work. Based on the Biot poroelasticity theory, a multi-scale constitutive model which includes both macro and micro characteristics is developed using an asymptotic homogenisation method. The effect of water-volume fraction on the effective elastic moduli of the hydrogel membrane is examined for different equivalent weights. Numerical investigations show that the simulated effective constitutive moduli agree well with experimental data. The presently developed constitutive model is thus validated. In order to determine the micro-structural shape of the polymer skeleton subject to fluid pressure, a representative volume element (RVE) is designed by topology optimisation of the periodic microstructures of the Nafion hydrogels, through the minimisation of the electro-elastic interaction energy between the polymer-based fluorocarbon matrix and the surrounding fluid. This optimal RVE correctly predicts the geometric shapes of the clusters.

KeywordsCluster; Computational BioMEMS; Constitutive modeling; Homogenisation method; Micro-structural topology optimisation; Multi-scale simulation; Nafion hydrogel membrane
ANZSRC Field of Research 2020401609. Polymers and plastics
401602. Composite and hybrid materials
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Byline AffiliationsInstitute of High Performance Computing, Singapore
National University of Singapore
Nanyang Technological University, Singapore
Johns Hopkins University, United States
Institution of OriginUniversity of Southern Queensland
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