{"title":"改进的耦合应力有限元模型用于变材料长度尺度参数的部分支承2D-FG夹层微梁分析","authors":"Van-Chinh Nguyen, Van-Ke Tran, Van-Vinh Pham","doi":"10.1016/j.camwa.2025.08.023","DOIUrl":null,"url":null,"abstract":"<div><div>This article presents a comprehensive mechanical investigation of the functionally graded sandwich microbeams resting on a partial elastic foundation. The novelty of this study is that the length scale parameters are considered to vary through the transverse and longitudinal directions according to the variation of the individual material components. A novel finite element model based on higher-order shear deformation and modified couple stress theories is proposed to address this complex problem. Several comparisons are carried out to validate the accuracy and efficiency of the proposed algorithm. Besides, a completed parametric study is provided to demonstrate the effects of some parameters on the static bending, free vibration, and buckling behaviors of the two-dimensional functionally graded sandwich microbeams. The results of this study showed that the variation of length scale parameters and the characteristics of the partial elastic foundations play a significant role in the mechanical response of the microbeams. This phenomenon should be noticed in the testing, design, and optimization of similar microstructures in practical engineering.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"198 ","pages":"Pages 106-130"},"PeriodicalIF":2.5000,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters\",\"authors\":\"Van-Chinh Nguyen, Van-Ke Tran, Van-Vinh Pham\",\"doi\":\"10.1016/j.camwa.2025.08.023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This article presents a comprehensive mechanical investigation of the functionally graded sandwich microbeams resting on a partial elastic foundation. The novelty of this study is that the length scale parameters are considered to vary through the transverse and longitudinal directions according to the variation of the individual material components. A novel finite element model based on higher-order shear deformation and modified couple stress theories is proposed to address this complex problem. Several comparisons are carried out to validate the accuracy and efficiency of the proposed algorithm. Besides, a completed parametric study is provided to demonstrate the effects of some parameters on the static bending, free vibration, and buckling behaviors of the two-dimensional functionally graded sandwich microbeams. The results of this study showed that the variation of length scale parameters and the characteristics of the partial elastic foundations play a significant role in the mechanical response of the microbeams. This phenomenon should be noticed in the testing, design, and optimization of similar microstructures in practical engineering.</div></div>\",\"PeriodicalId\":55218,\"journal\":{\"name\":\"Computers & Mathematics with Applications\",\"volume\":\"198 \",\"pages\":\"Pages 106-130\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-08-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computers & Mathematics with Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0898122125003566\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Mathematics with Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0898122125003566","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters
This article presents a comprehensive mechanical investigation of the functionally graded sandwich microbeams resting on a partial elastic foundation. The novelty of this study is that the length scale parameters are considered to vary through the transverse and longitudinal directions according to the variation of the individual material components. A novel finite element model based on higher-order shear deformation and modified couple stress theories is proposed to address this complex problem. Several comparisons are carried out to validate the accuracy and efficiency of the proposed algorithm. Besides, a completed parametric study is provided to demonstrate the effects of some parameters on the static bending, free vibration, and buckling behaviors of the two-dimensional functionally graded sandwich microbeams. The results of this study showed that the variation of length scale parameters and the characteristics of the partial elastic foundations play a significant role in the mechanical response of the microbeams. This phenomenon should be noticed in the testing, design, and optimization of similar microstructures in practical engineering.
期刊介绍:
Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).