Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural network

Predicting stress–strain curves is key to facilitate the design of polymer materials and their products with tailored mechanical response. However, due to their structural complexity, polymeric solids generally feature complex stress–strain curves, which renders it challenging to model their stress–...

Full description

Bibliographic Details
Main Authors: Han Liu, Feng-Yang Wu, Gan-Ji Zhong, Zhong-Ming Li
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Materials & Design
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0264127523001880
_version_ 1797853945723355136
author Han Liu
Feng-Yang Wu
Gan-Ji Zhong
Zhong-Ming Li
author_facet Han Liu
Feng-Yang Wu
Gan-Ji Zhong
Zhong-Ming Li
author_sort Han Liu
collection DOAJ
description Predicting stress–strain curves is key to facilitate the design of polymer materials and their products with tailored mechanical response. However, due to their structural complexity, polymeric solids generally feature complex stress–strain curves, which renders it challenging to model their stress–strain behaviors. Here, using the categorized knowledge of stress–strain curves, a “Classification-Embedded Dual Neural Network (CDNN)” framework is introduced to accurately predict the mechanical evolution of polymeric solids, by taking the example of injection-molded isotactic polypropylene. Upon built, the dual model is a parallel coupling of a “curve type classifier” and a “curve feature predictor” that predict, respectively, the stress–strain curve categories and their feature points that dictate the extent of similarity between two arbitrary curves in the same category, regardless of the curve complexity. Importantly, with the aid of curve-categorized knowledge, the CDNN strategy offers an update-to-date best balance in model accuracy (20% curve error in maximum) and simplicity (300 neurons in total), which greatly enhances the model’s extrapolability and interpretability and, in turn, mitigates the demanding data requirement (27 samplings from a 4D space, that is, a material design space consisting of 4 design dimensions to tune the structure). Overall, this work establishes a simple, robust methodology in predicting polymeric solids’ stress–strain curves and is potentially generic to a variety of materials.
first_indexed 2024-04-09T19:59:00Z
format Article
id doaj.art-c86715df53da4b47b321bb61c9c1109b
institution Directory Open Access Journal
issn 0264-1275
language English
last_indexed 2024-04-09T19:59:00Z
publishDate 2023-03-01
publisher Elsevier
record_format Article
series Materials & Design
spelling doaj.art-c86715df53da4b47b321bb61c9c1109b2023-04-03T05:21:02ZengElsevierMaterials & Design0264-12752023-03-01227111773Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural networkHan Liu0Feng-Yang Wu1Gan-Ji Zhong2Zhong-Ming Li3SOlids inFormaTics AI-Laboratory (SOFT-AI-Lab), Sichuan University, Chengdu 610065, China; College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, China; Corresponding authors at: College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, China.College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, ChinaCollege of Polymer Science and Engineering, Sichuan University, Chengdu 610065, China; State Key Laboratory for Polymer Materials Engineering, Sichuan University, Chengdu 610065, China; Corresponding authors at: College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, China.College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, China; State Key Laboratory for Polymer Materials Engineering, Sichuan University, Chengdu 610065, China; Research Center for Materials Genome Engineering, Sichuan University, Chengdu 610065, ChinaPredicting stress–strain curves is key to facilitate the design of polymer materials and their products with tailored mechanical response. However, due to their structural complexity, polymeric solids generally feature complex stress–strain curves, which renders it challenging to model their stress–strain behaviors. Here, using the categorized knowledge of stress–strain curves, a “Classification-Embedded Dual Neural Network (CDNN)” framework is introduced to accurately predict the mechanical evolution of polymeric solids, by taking the example of injection-molded isotactic polypropylene. Upon built, the dual model is a parallel coupling of a “curve type classifier” and a “curve feature predictor” that predict, respectively, the stress–strain curve categories and their feature points that dictate the extent of similarity between two arbitrary curves in the same category, regardless of the curve complexity. Importantly, with the aid of curve-categorized knowledge, the CDNN strategy offers an update-to-date best balance in model accuracy (20% curve error in maximum) and simplicity (300 neurons in total), which greatly enhances the model’s extrapolability and interpretability and, in turn, mitigates the demanding data requirement (27 samplings from a 4D space, that is, a material design space consisting of 4 design dimensions to tune the structure). Overall, this work establishes a simple, robust methodology in predicting polymeric solids’ stress–strain curves and is potentially generic to a variety of materials.http://www.sciencedirect.com/science/article/pii/S0264127523001880Isotactic polypropyleneInjection moldingStress–strain curveClassificationMachine learning
spellingShingle Han Liu
Feng-Yang Wu
Gan-Ji Zhong
Zhong-Ming Li
Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural network
Materials & Design
Isotactic polypropylene
Injection molding
Stress–strain curve
Classification
Machine learning
title Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural network
title_full Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural network
title_fullStr Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural network
title_full_unstemmed Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural network
title_short Predicting the complex stress-strain curves of polymeric solids by classification-embedded dual neural network
title_sort predicting the complex stress strain curves of polymeric solids by classification embedded dual neural network
topic Isotactic polypropylene
Injection molding
Stress–strain curve
Classification
Machine learning
url http://www.sciencedirect.com/science/article/pii/S0264127523001880
work_keys_str_mv AT hanliu predictingthecomplexstressstraincurvesofpolymericsolidsbyclassificationembeddeddualneuralnetwork
AT fengyangwu predictingthecomplexstressstraincurvesofpolymericsolidsbyclassificationembeddeddualneuralnetwork
AT ganjizhong predictingthecomplexstressstraincurvesofpolymericsolidsbyclassificationembeddeddualneuralnetwork
AT zhongmingli predictingthecomplexstressstraincurvesofpolymericsolidsbyclassificationembeddeddualneuralnetwork