{"title":"基于修正耦合应力理论的热环境中取决于尺寸的 FGM 有限元分析","authors":"Songhao Wang, Zhenghua Qian, Yan Shang","doi":"10.1108/ec-10-2023-0666","DOIUrl":null,"url":null,"abstract":"<h3>Purpose</h3>\n<p>The paper aims to the size-dependent analysis of functionally graded materials in thermal environment based on the modified couple stress theory using finite element method.</p><!--/ Abstract__block -->\n<h3>Design/methodology/approach</h3>\n<p>The element formulation is developed within the framework of the penalty unsymmetric finite element method (FEM) in that the C<sup>1</sup> continuity requirement is satisfied in weak sense and thus, C<sup>0</sup> continuous interpolation enhanced by independent nodal rotation is employed as the test function. Meanwhile, the trial function is designed based on the stress functions and the weighted residual method. Besides, the special Gauss quadrature scheme is employed for integrals of matrices in accordance with the graded variation of the material properties.</p><!--/ Abstract__block -->\n<h3>Findings</h3>\n<p>The numerical results reveal that in thermal environment, functionally graded materials exhibit better bending performance compared to homogeneous materials, Moreover, the findings also indicate that with an increase in MLSP, the natural frequencies of out-of-plane modes gradually increase, while the natural frequencies of in-plane modes show much less variation, leading to a mode switch phenomenon.</p><!--/ Abstract__block -->\n<h3>Originality/value</h3>\n<p>The work provides an efficient numerical tool for analyzing and designing the functionally graded structures in thermal environment in practical engineering applications.</p><!--/ Abstract__block -->","PeriodicalId":50522,"journal":{"name":"Engineering Computations","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Size-dependent finite element analysis of FGMs in thermal environment based on the modified couple stress theory\",\"authors\":\"Songhao Wang, Zhenghua Qian, Yan Shang\",\"doi\":\"10.1108/ec-10-2023-0666\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3>Purpose</h3>\\n<p>The paper aims to the size-dependent analysis of functionally graded materials in thermal environment based on the modified couple stress theory using finite element method.</p><!--/ Abstract__block -->\\n<h3>Design/methodology/approach</h3>\\n<p>The element formulation is developed within the framework of the penalty unsymmetric finite element method (FEM) in that the C<sup>1</sup> continuity requirement is satisfied in weak sense and thus, C<sup>0</sup> continuous interpolation enhanced by independent nodal rotation is employed as the test function. Meanwhile, the trial function is designed based on the stress functions and the weighted residual method. Besides, the special Gauss quadrature scheme is employed for integrals of matrices in accordance with the graded variation of the material properties.</p><!--/ Abstract__block -->\\n<h3>Findings</h3>\\n<p>The numerical results reveal that in thermal environment, functionally graded materials exhibit better bending performance compared to homogeneous materials, Moreover, the findings also indicate that with an increase in MLSP, the natural frequencies of out-of-plane modes gradually increase, while the natural frequencies of in-plane modes show much less variation, leading to a mode switch phenomenon.</p><!--/ Abstract__block -->\\n<h3>Originality/value</h3>\\n<p>The work provides an efficient numerical tool for analyzing and designing the functionally graded structures in thermal environment in practical engineering applications.</p><!--/ Abstract__block -->\",\"PeriodicalId\":50522,\"journal\":{\"name\":\"Engineering Computations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Computations\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1108/ec-10-2023-0666\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Computations","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1108/ec-10-2023-0666","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Size-dependent finite element analysis of FGMs in thermal environment based on the modified couple stress theory
Purpose
The paper aims to the size-dependent analysis of functionally graded materials in thermal environment based on the modified couple stress theory using finite element method.
Design/methodology/approach
The element formulation is developed within the framework of the penalty unsymmetric finite element method (FEM) in that the C1 continuity requirement is satisfied in weak sense and thus, C0 continuous interpolation enhanced by independent nodal rotation is employed as the test function. Meanwhile, the trial function is designed based on the stress functions and the weighted residual method. Besides, the special Gauss quadrature scheme is employed for integrals of matrices in accordance with the graded variation of the material properties.
Findings
The numerical results reveal that in thermal environment, functionally graded materials exhibit better bending performance compared to homogeneous materials, Moreover, the findings also indicate that with an increase in MLSP, the natural frequencies of out-of-plane modes gradually increase, while the natural frequencies of in-plane modes show much less variation, leading to a mode switch phenomenon.
Originality/value
The work provides an efficient numerical tool for analyzing and designing the functionally graded structures in thermal environment in practical engineering applications.
期刊介绍:
The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice.
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