{"title":"椭球形夹杂微观几何的有效场方法与有限元模型。理论与应用","authors":"E. Polyzos, L. Pyl","doi":"10.1016/j.ijengsci.2025.104373","DOIUrl":null,"url":null,"abstract":"<div><div>This study compares the predictions of analytical and numerical models employing ellipsoidal inclusions to determine the effective properties of composite materials. Three groups of factors influencing homogenization accuracy are investigated: the type of homogenization problem (elasticity, expansion, and conductivity), the material phase characteristics (isotropy, inclusion orientation, and inclusion aspect ratio), and the modeling methodologies, where effective field methods (EFMs) – including the Non-Interaction, the Mori–Tanaka and Maxwell methods – are evaluated against the pseudo grain decomposition method (PGDM) and numerical finite element (FE) models in a parametric study. The study considers ellipsoidal inclusions with aspect ratios ranging from 0.2 to 5 and orientation scattering from completely random to fully aligned. The results indicate that the type of homogenization problem does not significantly affect the prediction accuracy of EFMs and that the Mori–Tanaka and Maxwell methods show excellent agreement with FE models for all properties. The PGDM is shown to yield reliable results only for certain elastic properties (e.g., <span><math><msub><mrow><mi>E</mi></mrow><mrow><mn>11</mn></mrow></msub></math></span>) for composites with inclusions of aspect ratios greater than 1. Therefore, it is concluded that the Mori–Tanaka and the Maxwell methods serve as the most suitable analytical alternatives to computationally intensive FE models.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"217 ","pages":"Article 104373"},"PeriodicalIF":5.7000,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effective field methods vs finite element models for microgeometries with ellipsoidal inclusions. Theory and application\",\"authors\":\"E. Polyzos, L. Pyl\",\"doi\":\"10.1016/j.ijengsci.2025.104373\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study compares the predictions of analytical and numerical models employing ellipsoidal inclusions to determine the effective properties of composite materials. Three groups of factors influencing homogenization accuracy are investigated: the type of homogenization problem (elasticity, expansion, and conductivity), the material phase characteristics (isotropy, inclusion orientation, and inclusion aspect ratio), and the modeling methodologies, where effective field methods (EFMs) – including the Non-Interaction, the Mori–Tanaka and Maxwell methods – are evaluated against the pseudo grain decomposition method (PGDM) and numerical finite element (FE) models in a parametric study. The study considers ellipsoidal inclusions with aspect ratios ranging from 0.2 to 5 and orientation scattering from completely random to fully aligned. The results indicate that the type of homogenization problem does not significantly affect the prediction accuracy of EFMs and that the Mori–Tanaka and Maxwell methods show excellent agreement with FE models for all properties. The PGDM is shown to yield reliable results only for certain elastic properties (e.g., <span><math><msub><mrow><mi>E</mi></mrow><mrow><mn>11</mn></mrow></msub></math></span>) for composites with inclusions of aspect ratios greater than 1. Therefore, it is concluded that the Mori–Tanaka and the Maxwell methods serve as the most suitable analytical alternatives to computationally intensive FE models.</div></div>\",\"PeriodicalId\":14053,\"journal\":{\"name\":\"International Journal of Engineering Science\",\"volume\":\"217 \",\"pages\":\"Article 104373\"},\"PeriodicalIF\":5.7000,\"publicationDate\":\"2025-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Engineering Science\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0020722525001600\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020722525001600","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
Effective field methods vs finite element models for microgeometries with ellipsoidal inclusions. Theory and application
This study compares the predictions of analytical and numerical models employing ellipsoidal inclusions to determine the effective properties of composite materials. Three groups of factors influencing homogenization accuracy are investigated: the type of homogenization problem (elasticity, expansion, and conductivity), the material phase characteristics (isotropy, inclusion orientation, and inclusion aspect ratio), and the modeling methodologies, where effective field methods (EFMs) – including the Non-Interaction, the Mori–Tanaka and Maxwell methods – are evaluated against the pseudo grain decomposition method (PGDM) and numerical finite element (FE) models in a parametric study. The study considers ellipsoidal inclusions with aspect ratios ranging from 0.2 to 5 and orientation scattering from completely random to fully aligned. The results indicate that the type of homogenization problem does not significantly affect the prediction accuracy of EFMs and that the Mori–Tanaka and Maxwell methods show excellent agreement with FE models for all properties. The PGDM is shown to yield reliable results only for certain elastic properties (e.g., ) for composites with inclusions of aspect ratios greater than 1. Therefore, it is concluded that the Mori–Tanaka and the Maxwell methods serve as the most suitable analytical alternatives to computationally intensive FE models.
期刊介绍:
The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome.
The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process.
Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.