Nonlinear localization strategies for domain decomposition methods: Application to post-buckling analyses

Philippe Cresta; Olivier Allix; Christian Rey; Stephane Guinard

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Nonlinear localization strategies for domain decomposition methods: Application to post-buckling analyses

机译：区域分解方法的非线性定位策略：在屈曲后分析中的应用

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In this paper, we explore the capabilities of some nonlinear strategies based on domain decomposition for nonlinear analyses, and more particularly for post-buckling analyses of large slender structures. After having recalled the classical Newton-Krylov-Schur methods, chosen here to serve as a reference, we propose two versions specifically developed to treat nonlinear phenomena at the most relevant scale through nonlinear localizations per substructure. All these different strategies lead to solving similar condensed problems on which we apply classical Domain Decomposition Methods. Performances are discussed and comparative results in terms of convergence are presented in the case of beam frames with large rotations and local buckling.

机译：在本文中，我们探索了一些基于域分解的非线性策略进行非线性分析的功能，尤其是对于大型细长结构的屈曲后分析。回顾了这里选择作为参考的经典Newton-Krylov-Schur方法之后，我们提出了两个版本，这些版本专门开发用于通过每个子结构的非线性局部化以最相关的尺度处理非线性现象。所有这些不同的策略都导致解决类似的压缩问题，在这些问题上我们应用了经典的域分解方法。在具有大旋转和局部屈曲的梁框架的情况下，讨论了性能并提供了收敛方面的比较结果。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2007年第8期|p.1436-1446|共11页
作者
Philippe Cresta; Olivier Allix; Christian Rey; Stephane Guinard;
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作者单位

EADS Corporate Research Center (CRC), 12 rue Pasteur, BP 76, 92152 Suresnes Cedex, France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
nonlinear structural analysis; domain decomposition methods; post-buckling; nonlinear localization;

机译：非线性结构分析区域分解方法后屈曲非线性局部化;

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1. Domain decomposition methods with nonlinear localization for the buckling and post-buckling analyses of large structures [J] . J. Hinojosa, O. Allix, P.-A. Guidault, Advances in Engineering Software . 2014,第APRa期

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2. Mixed nonlinear localization strategy for the buckling and post-buckling analyses of structures: parameter optimization and path following implementation [J] . Hinojosa J., Allix O., Guidault P. A., Engineering Optimization . 2017,第1a3期

机译：结构屈曲和后屈曲分析的混合非线性定位策略：参数优化和路径实现
3. The Application of Domain Decomposition to Time-Domain Computations of Nonlinear Water Waves with a Panel Method [J] . P. C. A. De Haas, P. J. Zandbergen Journal of Computational Physics . 1996,第2期

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4. Newton-Krylov-Schur Method with a Nonlinear Localization: Parallel Implementation for Post-Buckling Analysis of Large Structures [C] . J. Hlinojosa, O. Allix, P.-A. Guidault, Proceedings of the Second international conference on parallel, distributed, grid and cloud computing for engineering. . 2011

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Nonlinear localization strategies for domain decomposition methods: Application to post-buckling analyses

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