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

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 app...

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Main Authors: Jing-Ang Zhu, Yetong Jia, Jincheng Lei, Zishun Liu
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/21/2804
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author Jing-Ang Zhu
Yetong Jia
Jincheng Lei
Zishun Liu
author_facet Jing-Ang Zhu
Yetong Jia
Jincheng Lei
Zishun Liu
author_sort Jing-Ang Zhu
collection DOAJ
description 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.
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spelling doaj.art-45f51acdab934d4abd0d001bd31040042023-11-22T21:19:06ZengMDPI AGMathematics2227-73902021-11-01921280410.3390/math9212804Deep Learning Approach to Mechanical Property Prediction of Single-Network HydrogelJing-Ang Zhu0Yetong Jia1Jincheng Lei2Zishun Liu3International 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, ChinaInternational 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, ChinaInternational 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, ChinaInternational 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, ChinaHydrogel 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.https://www.mdpi.com/2227-7390/9/21/2804deep learninghydrogel networkmechanical propertyconvolutional neural networkself-avoiding walk
spellingShingle Jing-Ang Zhu
Yetong Jia
Jincheng Lei
Zishun Liu
Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel
Mathematics
deep learning
hydrogel network
mechanical property
convolutional neural network
self-avoiding walk
title Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel
title_full Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel
title_fullStr Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel
title_full_unstemmed Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel
title_short Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel
title_sort deep learning approach to mechanical property prediction of single network hydrogel
topic deep learning
hydrogel network
mechanical property
convolutional neural network
self-avoiding walk
url https://www.mdpi.com/2227-7390/9/21/2804
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AT yetongjia deeplearningapproachtomechanicalpropertypredictionofsinglenetworkhydrogel
AT jinchenglei deeplearningapproachtomechanicalpropertypredictionofsinglenetworkhydrogel
AT zishunliu deeplearningapproachtomechanicalpropertypredictionofsinglenetworkhydrogel