Romeis Dirk, Metsch Philipp, Kästner Markus, Saphiannikova Marina
Leibniz Institute of Polymer Research Dresden, Hohe Strasse 6, 01069 Dresden, Germany.
Institute of Solid Mechanics, Technische Universität Dresden, 01062 Dresden, Germany.
Phys Rev E. 2017 Apr;95(4-1):042501. doi: 10.1103/PhysRevE.95.042501. Epub 2017 Apr 3.
In the literature, different theoretical models have been proposed to describe the properties of systems which consist of magnetizable particles that are embedded into an elastomer matrix. It is well known that such magneto-sensitive elastomers display a strong magneto-mechanical coupling when subjected to an external magnetic field. Nevertheless, the predictions of available models often vary significantly since they are based on different assumptions and approximations. Up to now the actual accuracy and the limits of applicability are widely unknown. In the present work, we compare the results of a microscale continuum and a dipolar mean field approach with regard to their predictions for the magnetostrictive response of magneto-sensitive elastomers and reveal some fundamental relations between the relevant quantities in both theories. It turns out that there is a very good agreement between both modeling strategies, especially for entirely random microstructures. In contrast, a comparison of the finite-element results with a modified approach, which-similar to the continuum model-is based on calculations with discrete particle distributions, reveals clear deviations. Our systematic analysis of the differences shows to what extent the dipolar mean field approach is superior to other dipole models.
在文献中，已经提出了不同的理论模型来描述由嵌入弹性体基质中的可磁化颗粒组成的系统的特性。众所周知，这种磁敏弹性体在受到外部磁场作用时会表现出强烈的磁-机械耦合。然而，现有模型的预测结果往往差异很大，因为它们基于不同的假设和近似。到目前为止，实际的准确性和适用范围还广为人知。在本工作中，我们比较了微观尺度连续体模型和偶极平均场方法对磁敏弹性体磁致伸缩响应的预测结果，并揭示了两种理论中相关量之间的一些基本关系。结果表明，两种建模策略之间有非常好的一致性，特别是对于完全随机的微观结构。相比之下，将有限元结果与一种改进方法进行比较，该方法类似于连续体模型，基于离散颗粒分布的计算，结果显示出明显的偏差。我们对这些差异的系统分析表明，偶极平均场方法在多大程度上优于其他偶极模型。
