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Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel

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  • Jing-Ang Zhu

    (International Center for Applied Mechanics, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Yetong Jia

    (International Center for Applied Mechanics, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Jincheng Lei

    (International Center for Applied Mechanics, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Zishun Liu

    (International Center for Applied Mechanics, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

Abstract

Hydrogel has a complex network structure with inhomogeneous and random distribution of polymer chains. Much effort has been paid to fully understand the relationship between mesoscopic network structure and macroscopic mechanical properties of hydrogels. In this paper, we develop a deep learning approach to predict the mechanical properties of hydrogels from polymer network structures. First, network structural models of hydrogels are constructed from mesoscopic scale using self-avoiding walk method. The constructed model is similar to the real hydrogel network. Then, two deep learning models are proposed to capture the nonlinear mapping from mesoscopic hydrogel network structural model to its macroscale mechanical property. A deep neural network and a 3D convolutional neural network containing the physical information of the network structural model are implemented to predict the nominal stress–stretch curves of hydrogels under uniaxial tension. Our results show that the end-to-end deep learning framework can effectively predict the nominal stress–stretch curves of hydrogel within a wide range of mesoscopic network structures, which demonstrates that the deep learning models are able to capture the internal relationship between complex network structures and mechanical properties. We hope this approach can provide guidance to structural design and material property design of different soft materials.

Suggested Citation

  • Jing-Ang Zhu & Yetong Jia & Jincheng Lei & Zishun Liu, 2021. "Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel," Mathematics, MDPI, vol. 9(21), pages 1-21, November.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2804-:d:672409
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    References listed on IDEAS

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    1. Jeong-Yun Sun & Xuanhe Zhao & Widusha R. K. Illeperuma & Ovijit Chaudhuri & Kyu Hwan Oh & David J. Mooney & Joost J. Vlassak & Zhigang Suo, 2012. "Highly stretchable and tough hydrogels," Nature, Nature, vol. 489(7414), pages 133-136, September.
    2. Hyunwoo Yuk & Claudia E. Varela & Christoph S. Nabzdyk & Xinyu Mao & Robert F. Padera & Ellen T. Roche & Xuanhe Zhao, 2019. "Dry double-sided tape for adhesion of wet tissues and devices," Nature, Nature, vol. 575(7781), pages 169-174, November.
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    Cited by:

    1. Yumin Cheng, 2022. "Preface to the Special Issue on “Numerical Computation, Data Analysis and Software in Mathematics and Engineering”," Mathematics, MDPI, vol. 10(13), pages 1-5, June.

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