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消除软质非磁性材料中的虚假磁机械耦合。

Curing spurious magneto-mechanical coupling in soft non-magnetic materials.

作者信息

Rambausek Matthias, Schöberl Joachim

机构信息

Institute of Analysis and Scientific Computing TU Wien Vienna Austria.

出版信息

Int J Numer Methods Eng. 2023 May 30;124(10):2261-2291. doi: 10.1002/nme.7210. Epub 2023 Feb 12.

DOI:10.1002/nme.7210
PMID:38529073
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10962569/
Abstract

The present work is concerned with the issue of spurious coupling effects that are pervasive in fully coupled magneto-mechanical finite element simulations involving very soft non-magnetic or air-like media. We first address the characterization of the spurious magneto-mechanical effects and their intuitive interpretation based on energy considerations. Then, as main contribution, we propose two new cures for the issue under consideration that completely prune the undesired spurious magneto-mechanical coupling in non-magnetic media. The proposed methods are compared with established methods in the context of magnetic bodies embedded in (i) air or vacuum and (ii) very soft elastic non-magnetic media. The comparison shows that the proposed approaches are accurate and effective. They, furthermore, allow for a consistent linearization of the coupled boundary value problems, which is crucial for the simulation of compliant structures. For reproducibility and accessibility of the proposed methods, we provide our implementations with Netgen/NGSolve as well as all codes necessary for the reproduction of our results as supplementary material.

摘要

本研究关注的是在涉及非常柔软的非磁性或类似空气介质的完全耦合磁-机械有限元模拟中普遍存在的虚假耦合效应问题。我们首先基于能量考虑来阐述虚假磁-机械效应的特征及其直观解释。然后,作为主要贡献,我们针对所考虑的问题提出了两种新的解决方法,它们能完全消除非磁性介质中不期望的虚假磁-机械耦合。在所提出的方法与既定方法的比较中,涉及嵌入(i)空气或真空中以及(ii)非常柔软的弹性非磁性介质中的磁体。比较结果表明所提出的方法准确且有效。此外,它们允许对耦合边值问题进行一致的线性化,这对于柔顺结构的模拟至关重要。为了所提出方法的可重复性和可获取性,我们提供了使用Netgen/NGSolve的实现以及作为补充材料的重现我们结果所需的所有代码。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2487/10962569/2a1fd6143714/NME-124-2261-g007.jpg
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