Soft network materials that incorporate wavy filamentary microstructures have appealing applications in bio-integrated devices and tissue engineering, in part due to their bio-mimetic mechanical properties, such as “J-shaped” stress–strain curves and negative Poisson's ratios. The diversity of the microstructure geometry as well as the network topology provides access to a broad range of tunable mechanical properties, suggesting a high degree of design flexibility. The understanding of the underlying microstructure-property relationship requires the development of a general mechanics theory. Here, we introduce a theoretical model of infinitesimal deformations for the soft network materials constructed with periodic lattices of arbitrarily shaped microstructures. Taking three representative lattice topologies (triangular, honeycomb, and square) as examples, we obtain analytic solutions of Poisson's ratio and elastic modulus based on the mechanics model. These analytic solutions, as validated by systematic finite element analyses (FEA), elucidated different roles of lattice topology and microstructure geometry on Poisson's ratio of network materials with engineered zigzag microstructures. With the aid of the theoretical model, a crescent-shaped microstructure was devised to expand the accessible strain range of network materials with relative constant Poisson's ratio under large levels of stretching. This study provides theoretical guidelines for the soft network material designs to achieve desired Poisson's ratio and elastic modulus.
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Research-Article
A Mechanics Model of Soft Network Materials With Periodic Lattices of Arbitrarily Shaped Filamentary Microstructures for Tunable Poisson's Ratios
Jianxing Liu,
Jianxing Liu
AML,
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Flexible Electronics Technology,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Tsinghua University,
Beijing 100084, China
Search for other works by this author on:
Yihui Zhang
Yihui Zhang
AML,
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Flexible Electronics Technology,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: yihuizhang@tsinghua.edu.cn
Tsinghua University,
Beijing 100084, China
e-mail: yihuizhang@tsinghua.edu.cn
Search for other works by this author on:
Jianxing Liu
AML,
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Flexible Electronics Technology,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Tsinghua University,
Beijing 100084, China
Yihui Zhang
AML,
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Flexible Electronics Technology,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: yihuizhang@tsinghua.edu.cn
Tsinghua University,
Beijing 100084, China
e-mail: yihuizhang@tsinghua.edu.cn
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 11, 2018; final manuscript received February 13, 2018; published online March 2, 2018. Editor: Yonggang Huang.
J. Appl. Mech. May 2018, 85(5): 051003 (17 pages)
Published Online: March 2, 2018
Article history
Received:
February 11, 2018
Revised:
February 13, 2018
Citation
Liu, J., and Zhang, Y. (March 2, 2018). "A Mechanics Model of Soft Network Materials With Periodic Lattices of Arbitrarily Shaped Filamentary Microstructures for Tunable Poisson's Ratios." ASME. J. Appl. Mech. May 2018; 85(5): 051003. https://doi.org/10.1115/1.4039374
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