A Non-Intrusive, Online Reduced Order Method for Non-Linear Micro-Heterogeneous Materials

IF 2.7 3区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY International Journal for Numerical Methods in Engineering Pub Date : 2025-03-06 DOI:10.1002/nme.70007
Yasemin von Hoegen, Rainer Niekamp, Jörg Schröder
{"title":"A Non-Intrusive, Online Reduced Order Method for Non-Linear Micro-Heterogeneous Materials","authors":"Yasemin von Hoegen,&nbsp;Rainer Niekamp,&nbsp;Jörg Schröder","doi":"10.1002/nme.70007","DOIUrl":null,"url":null,"abstract":"<p>In this contribution we present an adaptive model order reduction technique for non-linear finite element computations of micro-heterogeneous materials. The presented projection-based method performs updates of the reduced basis during the iterative process and at the end of each load step. Convergence is achieved in all stages of the simulation and the best choice of basis vectors is assured. A novel technique for the choice of basis, the recursive Proper Orthogonal Decomposition, is introduced and compared to an existing technique, the comparative Proper Orthogonal Decomposition, in an academic two-dimensional unit cell example. Numerical examples of real two- and three-dimensional microstructures unveil the performance of the adaptive technique for industrial applications.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 5","pages":""},"PeriodicalIF":2.7000,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70007","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical Methods in Engineering","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/nme.70007","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

In this contribution we present an adaptive model order reduction technique for non-linear finite element computations of micro-heterogeneous materials. The presented projection-based method performs updates of the reduced basis during the iterative process and at the end of each load step. Convergence is achieved in all stages of the simulation and the best choice of basis vectors is assured. A novel technique for the choice of basis, the recursive Proper Orthogonal Decomposition, is introduced and compared to an existing technique, the comparative Proper Orthogonal Decomposition, in an academic two-dimensional unit cell example. Numerical examples of real two- and three-dimensional microstructures unveil the performance of the adaptive technique for industrial applications.

Abstract Image

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
在本文中,我们介绍了一种用于微均质材料非线性有限元计算的自适应模型阶次缩减技术。所提出的基于投影的方法会在迭代过程中和每个载荷步骤结束时对缩减后的基础进行更新。在模拟的所有阶段都实现了收敛,并确保了基向量的最佳选择。在一个学术二维单元实例中,介绍了一种选择基的新技术--递归正交分解法,并与现有技术--比较正交分解法进行了比较。实际二维和三维微结构的数值示例揭示了自适应技术在工业应用中的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
CiteScore
5.70
自引率
6.90%
发文量
276
审稿时长
5.3 months
期刊介绍: The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems. The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.
期刊最新文献
Inverse Design of Planar Clamped-Free Elastic Rods From Noisy Data A Non-Intrusive, Online Reduced Order Method for Non-Linear Micro-Heterogeneous Materials Issue Information Learning Dynamics of Nonlinear Field-Circuit Coupled Problems With a Physics-Data Combined Model A Stable Poro-Mechanical Formulation for Material Point Methods Leveraging Overlapping Meshes and Multi-Field Ghost Penalisation
×
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