Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russia.
Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science, Perm, 614013, Russia.
Soft Matter. 2019 Dec 14;15(46):9507-9519. doi: 10.1039/c9sm02090j. Epub 2019 Nov 11.
Surface relief of magnetoactive elastomers (MAEs) based on soft polymer matrices filled with anisometric magnetically hard fillers is studied theoretically in magnetic fields applied perpendicular to the MAE surface. A single-particle 2D cell model describing the rotation of one individual elliptical particle in a near-surface MAE layer is developed. The equilibrium rotation angle of particles is defined by a balance between Zeeman, magnetic anisotropy and elastic (generated in the polymer matrix) energy increments. The Stoner-Wohlfarth model is used to describe magnetic properties of the filler particles while the elastic energy as a function of the particle rotation angle is evaluated numerically using FEM simulations. A representative surface MAE system is constructed via superposition of single-particle cells with field-driven magnetic particles, and surface relief characteristics are derived for various sets of geometric and statistical parameters. Limitations of the proposed approach have been discussed.
基于软聚合物基质填充各向异性磁硬填料的磁致伸缩弹性体（MAE）的表面形貌在垂直于 MAE 表面施加的磁场中进行了理论研究。开发了一种单粒子 2D 单元模型，用于描述近表面 MAE 层中单个椭圆粒子的旋转。粒子的平衡旋转角度由 Zeeman、磁各向异性和弹性（在聚合物基质中产生）能量增量之间的平衡来定义。采用斯通纳-沃尔夫哈特模型来描述填充粒子的磁性特性，而弹性能量作为粒子旋转角度的函数则使用有限元模拟进行数值评估。通过具有场驱动磁性粒子的单个粒子单元的叠加构建了代表性的表面 MAE 系统，并为各种几何和统计参数集推导了表面形貌特征。讨论了所提出方法的局限性。
