离散弹性体综合变形能的完全正交分解法

IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Acta Mechanica Sinica Pub Date : 2024-06-26 DOI:10.1007/s10409-024-23181-x
Kaixuan Liang  (, ), Panxu Sun  (, ), Dongwei Wang  (, ), Yadan Yan  (, )
{"title":"离散弹性体综合变形能的完全正交分解法","authors":"Kaixuan Liang \n (,&nbsp;),&nbsp;Panxu Sun \n (,&nbsp;),&nbsp;Dongwei Wang \n (,&nbsp;),&nbsp;Yadan Yan \n (,&nbsp;)","doi":"10.1007/s10409-024-23181-x","DOIUrl":null,"url":null,"abstract":"<div><p>Based on mathematical orthogonality and mechanical equilibrium, a deformation energy decomposition method for classical isotropic square and cube elements is proposed by considering the physical parameters of materials. By aid of this method, the comprehensive deformation energy of planar discrete elastomers can be decomposed into five basic deformation energies, and the comprehensive deformation energy of spatial discrete elastomers can be decomposed into eighteen basic deformation energies. The quantification and visualization of structural deformation performance can be realized. According to the magnitude of different deformation energy in the same element, the decomposition diagram is drawn, which can visually display the area dominated by each basic deformation energy. The cloud diagram is drawn based on the distribution of specific deformation energy in different elements, which can be used to analyze the gradient change of deformation energy in the structure. Finally, the deformation properties of cantilever beam and four-sided consolidation plate are analyzed by deformation energy decomposition method. The correctness and superiority of this method are verified by comparing with the results of strain energy decomposition.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":null,"pages":null},"PeriodicalIF":3.8000,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A complete orthogonal decomposition method for the comprehensive deformation energy of discrete elastomers\",\"authors\":\"Kaixuan Liang \\n (,&nbsp;),&nbsp;Panxu Sun \\n (,&nbsp;),&nbsp;Dongwei Wang \\n (,&nbsp;),&nbsp;Yadan Yan \\n (,&nbsp;)\",\"doi\":\"10.1007/s10409-024-23181-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Based on mathematical orthogonality and mechanical equilibrium, a deformation energy decomposition method for classical isotropic square and cube elements is proposed by considering the physical parameters of materials. By aid of this method, the comprehensive deformation energy of planar discrete elastomers can be decomposed into five basic deformation energies, and the comprehensive deformation energy of spatial discrete elastomers can be decomposed into eighteen basic deformation energies. The quantification and visualization of structural deformation performance can be realized. According to the magnitude of different deformation energy in the same element, the decomposition diagram is drawn, which can visually display the area dominated by each basic deformation energy. The cloud diagram is drawn based on the distribution of specific deformation energy in different elements, which can be used to analyze the gradient change of deformation energy in the structure. Finally, the deformation properties of cantilever beam and four-sided consolidation plate are analyzed by deformation energy decomposition method. The correctness and superiority of this method are verified by comparing with the results of strain energy decomposition.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>\",\"PeriodicalId\":7109,\"journal\":{\"name\":\"Acta Mechanica Sinica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.8000,\"publicationDate\":\"2024-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica Sinica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10409-024-23181-x\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10409-024-23181-x","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0

摘要

基于数学正交性和力学平衡,考虑材料的物理参数,提出了经典各向同性正方体和立方体元素的变形能分解方法。借助该方法,平面离散弹性体的综合变形能可分解为五个基本变形能,空间离散弹性体的综合变形能可分解为十八个基本变形能。实现了结构变形性能的量化和可视化。根据同一构件中不同变形能的大小绘制分解图,可直观显示各基本变形能所占的面积。根据不同元素中特定变形能的分布情况绘制云图,可用于分析结构中变形能的梯度变化。最后,利用变形能分解法分析了悬臂梁和四面固结板的变形特性。通过与应变能分解法的结果对比,验证了该方法的正确性和优越性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
A complete orthogonal decomposition method for the comprehensive deformation energy of discrete elastomers

Based on mathematical orthogonality and mechanical equilibrium, a deformation energy decomposition method for classical isotropic square and cube elements is proposed by considering the physical parameters of materials. By aid of this method, the comprehensive deformation energy of planar discrete elastomers can be decomposed into five basic deformation energies, and the comprehensive deformation energy of spatial discrete elastomers can be decomposed into eighteen basic deformation energies. The quantification and visualization of structural deformation performance can be realized. According to the magnitude of different deformation energy in the same element, the decomposition diagram is drawn, which can visually display the area dominated by each basic deformation energy. The cloud diagram is drawn based on the distribution of specific deformation energy in different elements, which can be used to analyze the gradient change of deformation energy in the structure. Finally, the deformation properties of cantilever beam and four-sided consolidation plate are analyzed by deformation energy decomposition method. The correctness and superiority of this method are verified by comparing with the results of strain energy decomposition.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Acta Mechanica Sinica
Acta Mechanica Sinica 物理-工程:机械
CiteScore
5.60
自引率
20.00%
发文量
1807
审稿时长
4 months
期刊介绍: Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics
期刊最新文献
Failure prediction of thermal barrier coatings on turbine blades under calcium-magnesium-alumina-silicate corrosion and thermal shock Voids and cracks detection in bulk superconductors through magnetic field and displacement signals Introducing and analyzing a periodic pipe-in-pipe model for broadband ultra-low-frequency vibration reduction in fluid-conveying pipes Radiation investigation behind 4.7 km/s shock waves with nitrogen using a square section shock tube The impacts of variable nonlocal, length-scale factors and surface energy on hygro-thermo-mechanical vibration and buckling behaviors of viscoelastic FGP nanosheet on viscoelastic medium
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1