Chunlin Wu , Liangliang Zhang , George J. Weng , Huiming Yin
{"title":"基于双材料基本解的功能分级材料热力学建模","authors":"Chunlin Wu , Liangliang Zhang , George J. Weng , Huiming Yin","doi":"10.1016/j.ijengsci.2024.104040","DOIUrl":null,"url":null,"abstract":"<div><p>The Green’s function technique has been used to directly calculate the local fields of a functionally graded material (FGM) under thermomechanical loading, thus predicting its effective material properties. For a bi-phase FGM continuously switching the particle and matrix phases, the particle size and material gradation play a complex role in its effective material behavior. Using Eshelby’s equivalent inclusion method, particles are simulated by a source of eigen-fields in a bounded bi-layered domain, while the boundary effects are evaluated by the boundary integrals of the fundamental solutions. Using the volume integral of Green’s functions, over 10,000 particles are used to simulate an FGM under thermal and mechanical loading, respectively. The dual equivalent inclusion method is used to solve for the temperature and stress fields coupled with temperature loading. The averaged thermomechanical field distribution in the gradation direction is evaluated under different loading conditions. The effective stiffness, thermal expansion coefficient, and heat conductivity significantly change with the loading condition, particle size, and material gradation. The homogenization methods, which approximate an FGM as a continuously graded material with thermoelastic properties depending on the volume fraction only, cannot capture these micromechanical features of FGMs, while the present cross-scale approach with the inclusion-based boundary element method (iBEM) directly evaluates local fields and predicts effective material behaviors with high fidelity and efficiency.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":null,"pages":null},"PeriodicalIF":5.7000,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thermomechanical modeling of functionally graded materials based on bimaterial fundamental solutions\",\"authors\":\"Chunlin Wu , Liangliang Zhang , George J. Weng , Huiming Yin\",\"doi\":\"10.1016/j.ijengsci.2024.104040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The Green’s function technique has been used to directly calculate the local fields of a functionally graded material (FGM) under thermomechanical loading, thus predicting its effective material properties. For a bi-phase FGM continuously switching the particle and matrix phases, the particle size and material gradation play a complex role in its effective material behavior. Using Eshelby’s equivalent inclusion method, particles are simulated by a source of eigen-fields in a bounded bi-layered domain, while the boundary effects are evaluated by the boundary integrals of the fundamental solutions. Using the volume integral of Green’s functions, over 10,000 particles are used to simulate an FGM under thermal and mechanical loading, respectively. The dual equivalent inclusion method is used to solve for the temperature and stress fields coupled with temperature loading. The averaged thermomechanical field distribution in the gradation direction is evaluated under different loading conditions. The effective stiffness, thermal expansion coefficient, and heat conductivity significantly change with the loading condition, particle size, and material gradation. The homogenization methods, which approximate an FGM as a continuously graded material with thermoelastic properties depending on the volume fraction only, cannot capture these micromechanical features of FGMs, while the present cross-scale approach with the inclusion-based boundary element method (iBEM) directly evaluates local fields and predicts effective material behaviors with high fidelity and efficiency.</p></div>\",\"PeriodicalId\":14053,\"journal\":{\"name\":\"International Journal of Engineering Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":5.7000,\"publicationDate\":\"2024-02-20\",\"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/S0020722524000247\",\"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/S0020722524000247","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}
Thermomechanical modeling of functionally graded materials based on bimaterial fundamental solutions
The Green’s function technique has been used to directly calculate the local fields of a functionally graded material (FGM) under thermomechanical loading, thus predicting its effective material properties. For a bi-phase FGM continuously switching the particle and matrix phases, the particle size and material gradation play a complex role in its effective material behavior. Using Eshelby’s equivalent inclusion method, particles are simulated by a source of eigen-fields in a bounded bi-layered domain, while the boundary effects are evaluated by the boundary integrals of the fundamental solutions. Using the volume integral of Green’s functions, over 10,000 particles are used to simulate an FGM under thermal and mechanical loading, respectively. The dual equivalent inclusion method is used to solve for the temperature and stress fields coupled with temperature loading. The averaged thermomechanical field distribution in the gradation direction is evaluated under different loading conditions. The effective stiffness, thermal expansion coefficient, and heat conductivity significantly change with the loading condition, particle size, and material gradation. The homogenization methods, which approximate an FGM as a continuously graded material with thermoelastic properties depending on the volume fraction only, cannot capture these micromechanical features of FGMs, while the present cross-scale approach with the inclusion-based boundary element method (iBEM) directly evaluates local fields and predicts effective material behaviors with high fidelity and efficiency.
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.