不可压缩磁流变弹性体中与拉伸无关的磁化特性
Stretch-independent magnetization in incompressible magnetorheological elastomers
AI总结：
本研究检验不可压缩硬磁磁流变弹性体磁化与拉伸无关的现象，对比三类模型的适用性，明确全耗散模型中磁化矢量的特性与磁响应完整表征的必要条件。
摘要：
本研究针对不可压缩硬磁磁流变弹性体（h-MREs）中磁化与拉伸无关的现象开展了批判性检验，该现象已在近期多项实验与数值研究中被观测到。我们证明，Mukherjee等人（2021）提出的全耗散模型在符合物理一致性的假设下可简化为Yan等人（2023）的模型，但无法简化为Zhao等人（2019）的模型。当h-MRE固体发生不可忽略的拉伸时，Zhao等人（2019）的模型预测结果与实验观测不符，因为该模型的构建方式决定了其产生的磁化响应不具备拉伸无关性。相比之下，另外两个模型能够描述h-MREs以及不可压缩软磁s-MREs中存在的这一重要特性。需要注意的是，在拉伸可忽略的情况下，例如受弯变形的不可伸长细长结构，尽管Zhao等人（2019）的模型存在底层假设的局限，仍能给出准确的预测。此外，我们的分析揭示了在更通用的全耗散模型框架下磁化矢量的两个关键要点：第一，磁化可与该理论中的一个内变量相关联，但除理想磁体的特殊情况外，它不能被正式用作内变量，因此需要满足本构假设；第二，我们阐明了仅靠磁化矢量不足以完整描述MRE固体的磁响应，要实现完整表征，始终需要引入原始麦克斯韦场中的某一个场。
英文摘要：
In this study, we perform a critical examination of the phenomenon where the magnetization is stretch-independent in incompressible hard-magnetic magnetorheological elastomers (h-MREs), as observed in several recent experimental and numerical investigations. We demonstrate that the fully dissipative model proposed by Mukherjee et al. (2021) may be reduced, under physically consistent assumptions, to that of Yan et al. (2023), but not that of Zhao et al. (2019). In cases where the h-MRE solid undergoes non-negligible stretching, the model of Zhao et al. (2019) provides predictions that are in disagreement with experimental observations, given that, by construction, that model produces a magnetization response that is not stretch-independent. By contrast, the other two models are able to describe this important feature present in h-MREs, as well as in incompressible magnetically soft s-MRES. Note that in cases where stretching is negligible, such as for inextensible slender structures under bending deformation, the Zhao et al. (2019) model provides accurate predictions despite its underlying assumptions. Additionally, our analysis reveals two key points about the magnetization vector in the context of the more general, fully dissipative model. First, the magnetization can be related to an internal variable in that theory. However, it cannot be formally used as an internal variable except in the special case of an ideal magnet, and, as such, it is subject to constitutive assumptions. Furthermore, we clarify that the magnetization vector alone is insufficient to describe entirely the magnetic response of an MRE solid; instead, the introduction of one of the original Maxwell fields is always necessary for a complete representation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
