{"title":"基于新型轨迹校正位移插值方案的六面体自由旋转度实体元素","authors":"Guanxin Huang, Hangxing Li, Yonghe Lu, Zhijun Yang, Xin Chen","doi":"10.1007/s40997-024-00763-0","DOIUrl":null,"url":null,"abstract":"<p>To address the issue of incompatible nodal parameters between finite elements of different dimensions, this paper introduces a new interpolation formula, named “trial-correction” displacement interpolation, utilizing trilinear and cubic interpolations. This interpolation method is applied to construct an 8-node hexahedral solid element (Solid-H8-TC) with rotational degrees of freedom, featuring 6 nodal parameters including 3 translational and 3 rotational displacements. The element successfully passed the patch test and demonstrated convergence. Subsequent numerical examples show that the Solid-H8-TC element achieves a numerical accuracy of over 99% as the mesh is refined. Furthermore, the Solid-H8-TC element can be directly combined with shell elements, effectively resolving the compatibility issues of nodal parameters between finite elements of different dimensions. Lastly, the trial-correction displacement interpolation method employed in this study exhibits excellent scalability and provides a new theoretical basis for finite element analysis of plane, beam, and shell structures.</p>","PeriodicalId":49063,"journal":{"name":"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hexahedral Solid Element with Rotational Degrees of Freedom Based on a Novel Trail-Correction Displacement Interpolation Scheme\",\"authors\":\"Guanxin Huang, Hangxing Li, Yonghe Lu, Zhijun Yang, Xin Chen\",\"doi\":\"10.1007/s40997-024-00763-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>To address the issue of incompatible nodal parameters between finite elements of different dimensions, this paper introduces a new interpolation formula, named “trial-correction” displacement interpolation, utilizing trilinear and cubic interpolations. This interpolation method is applied to construct an 8-node hexahedral solid element (Solid-H8-TC) with rotational degrees of freedom, featuring 6 nodal parameters including 3 translational and 3 rotational displacements. The element successfully passed the patch test and demonstrated convergence. Subsequent numerical examples show that the Solid-H8-TC element achieves a numerical accuracy of over 99% as the mesh is refined. Furthermore, the Solid-H8-TC element can be directly combined with shell elements, effectively resolving the compatibility issues of nodal parameters between finite elements of different dimensions. Lastly, the trial-correction displacement interpolation method employed in this study exhibits excellent scalability and provides a new theoretical basis for finite element analysis of plane, beam, and shell structures.</p>\",\"PeriodicalId\":49063,\"journal\":{\"name\":\"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s40997-024-00763-0\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s40997-024-00763-0","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Hexahedral Solid Element with Rotational Degrees of Freedom Based on a Novel Trail-Correction Displacement Interpolation Scheme
To address the issue of incompatible nodal parameters between finite elements of different dimensions, this paper introduces a new interpolation formula, named “trial-correction” displacement interpolation, utilizing trilinear and cubic interpolations. This interpolation method is applied to construct an 8-node hexahedral solid element (Solid-H8-TC) with rotational degrees of freedom, featuring 6 nodal parameters including 3 translational and 3 rotational displacements. The element successfully passed the patch test and demonstrated convergence. Subsequent numerical examples show that the Solid-H8-TC element achieves a numerical accuracy of over 99% as the mesh is refined. Furthermore, the Solid-H8-TC element can be directly combined with shell elements, effectively resolving the compatibility issues of nodal parameters between finite elements of different dimensions. Lastly, the trial-correction displacement interpolation method employed in this study exhibits excellent scalability and provides a new theoretical basis for finite element analysis of plane, beam, and shell structures.
期刊介绍:
Transactions of Mechanical Engineering is to foster the growth of scientific research in all branches of mechanical engineering and its related grounds and to provide a medium by means of which the fruits of these researches may be brought to the attentionof the world’s scientific communities. The journal has the focus on the frontier topics in the theoretical, mathematical, numerical, experimental and scientific developments in mechanical engineering as well
as applications of established techniques to new domains in various mechanical engineering disciplines such as: Solid Mechanics, Kinematics, Dynamics Vibration and Control, Fluids Mechanics, Thermodynamics and Heat Transfer, Energy and Environment, Computational Mechanics, Bio Micro and Nano Mechanics and Design and Materials Engineering & Manufacturing.
The editors will welcome papers from all professors and researchers from universities, research centers,
organizations, companies and industries from all over the world in the hope that this will advance the scientific standards of the journal and provide a channel of communication between Iranian Scholars and their colleague in other parts of the world.