{"title":"用图卷积网络预测交联聚合物界面力学性能","authors":"Xintianyang Wang \n (, ), Lijuan Liao \n (, ), Chenguang Huang \n (, ), Xianqian Wu \n (, )","doi":"10.1007/s10409-024-24627-x","DOIUrl":null,"url":null,"abstract":"<div><p>Machine learning models have made significant advances in the establishment of structure-property relationships. However, it is still a challenge to predict the mechanical properties of the adhesive interface due to the complexity and randomness of the polymer topologies. In this paper, we employed a graph convolutional network (GCN) model to predict the mechanical properties of a specific cross-linked polymer interfacial system, including yield strength (<i>σ</i><sub><i>y</i></sub>), ultimate strength (<i>σ</i><sub><i>u</i></sub>), failure strain (<i>ε</i><sub><i>u</i></sub>), and fracture toughness (<i>Γ</i>) utilizing molecular dynamics simulations. The results showed that the adopted GCN model can predict the mechanical properties with over 88% accuracy. Furthermore, the prediction performances for <i>ε</i><sub><i>u</i></sub> and <i>σ</i><sub><i>u</i></sub> are better than those for <i>Γ</i> and <i>σ</i><sub><i>y</i></sub>, with <i>R</i><sup>2</sup> ∼ 0.73 for <i>ε</i><sub><i>u</i></sub>, <i>R</i><sup>2</sup> ∼ 0.64 for <i>σ</i><sub><i>u</i></sub>, <i>R</i><sup>2</sup> ∼ 0.51 for <i>Γ</i>, and <i>R</i><sup>2</sup><i>∼</i> 0.43 for <i>σ</i><sub><i>y</i></sub>. It is worth noting that the GCN model with the sum aggregator slightly outperforms that with the mean aggregator, and that models with linear regression and fully connected neural network regression provide similar predictions. The influence of input node features on prediction performance was also investigated. It was observed that the node closeness centrality is an important graph parameter in prediction. Specifically, node closeness centrality presents a more significant influence on the global mechanical properties of the adhesive interface, such as <i>ε</i><sub><i>u</i></sub>, <i>σ</i><sub><i>u</i></sub>, and <i>Γ</i>. Additionally, sensitivity analysis demonstrated that appropriate hyperparameters can improve computational efficiency without losing accuracy on a restricted set of data. This paper demonstrated the capacity of the GCN model to predict the mechanical properties of the adhesive interface with diverse topologies and provided a possible pathway for improving the mechanical properties of the adhesive interface by tailoring polymer structures in the future.\n</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 3","pages":""},"PeriodicalIF":4.6000,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prediction of mechanical properties of cross-linked polymer interface by graph convolution network\",\"authors\":\"Xintianyang Wang \\n (, ), Lijuan Liao \\n (, ), Chenguang Huang \\n (, ), Xianqian Wu \\n (, )\",\"doi\":\"10.1007/s10409-024-24627-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Machine learning models have made significant advances in the establishment of structure-property relationships. However, it is still a challenge to predict the mechanical properties of the adhesive interface due to the complexity and randomness of the polymer topologies. In this paper, we employed a graph convolutional network (GCN) model to predict the mechanical properties of a specific cross-linked polymer interfacial system, including yield strength (<i>σ</i><sub><i>y</i></sub>), ultimate strength (<i>σ</i><sub><i>u</i></sub>), failure strain (<i>ε</i><sub><i>u</i></sub>), and fracture toughness (<i>Γ</i>) utilizing molecular dynamics simulations. The results showed that the adopted GCN model can predict the mechanical properties with over 88% accuracy. Furthermore, the prediction performances for <i>ε</i><sub><i>u</i></sub> and <i>σ</i><sub><i>u</i></sub> are better than those for <i>Γ</i> and <i>σ</i><sub><i>y</i></sub>, with <i>R</i><sup>2</sup> ∼ 0.73 for <i>ε</i><sub><i>u</i></sub>, <i>R</i><sup>2</sup> ∼ 0.64 for <i>σ</i><sub><i>u</i></sub>, <i>R</i><sup>2</sup> ∼ 0.51 for <i>Γ</i>, and <i>R</i><sup>2</sup><i>∼</i> 0.43 for <i>σ</i><sub><i>y</i></sub>. It is worth noting that the GCN model with the sum aggregator slightly outperforms that with the mean aggregator, and that models with linear regression and fully connected neural network regression provide similar predictions. The influence of input node features on prediction performance was also investigated. It was observed that the node closeness centrality is an important graph parameter in prediction. Specifically, node closeness centrality presents a more significant influence on the global mechanical properties of the adhesive interface, such as <i>ε</i><sub><i>u</i></sub>, <i>σ</i><sub><i>u</i></sub>, and <i>Γ</i>. Additionally, sensitivity analysis demonstrated that appropriate hyperparameters can improve computational efficiency without losing accuracy on a restricted set of data. This paper demonstrated the capacity of the GCN model to predict the mechanical properties of the adhesive interface with diverse topologies and provided a possible pathway for improving the mechanical properties of the adhesive interface by tailoring polymer structures in the future.\\n</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>\",\"PeriodicalId\":7109,\"journal\":{\"name\":\"Acta Mechanica Sinica\",\"volume\":\"42 3\",\"pages\":\"\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2025-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica Sinica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10409-024-24627-x\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10409-024-24627-x","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Prediction of mechanical properties of cross-linked polymer interface by graph convolution network
Machine learning models have made significant advances in the establishment of structure-property relationships. However, it is still a challenge to predict the mechanical properties of the adhesive interface due to the complexity and randomness of the polymer topologies. In this paper, we employed a graph convolutional network (GCN) model to predict the mechanical properties of a specific cross-linked polymer interfacial system, including yield strength (σy), ultimate strength (σu), failure strain (εu), and fracture toughness (Γ) utilizing molecular dynamics simulations. The results showed that the adopted GCN model can predict the mechanical properties with over 88% accuracy. Furthermore, the prediction performances for εu and σu are better than those for Γ and σy, with R2 ∼ 0.73 for εu, R2 ∼ 0.64 for σu, R2 ∼ 0.51 for Γ, and R2∼ 0.43 for σy. It is worth noting that the GCN model with the sum aggregator slightly outperforms that with the mean aggregator, and that models with linear regression and fully connected neural network regression provide similar predictions. The influence of input node features on prediction performance was also investigated. It was observed that the node closeness centrality is an important graph parameter in prediction. Specifically, node closeness centrality presents a more significant influence on the global mechanical properties of the adhesive interface, such as εu, σu, and Γ. Additionally, sensitivity analysis demonstrated that appropriate hyperparameters can improve computational efficiency without losing accuracy on a restricted set of data. This paper demonstrated the capacity of the GCN model to predict the mechanical properties of the adhesive interface with diverse topologies and provided a possible pathway for improving the mechanical properties of the adhesive interface by tailoring polymer structures in the future.
期刊介绍:
Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences.
Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences.
In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest.
Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics