Ivaneyko Dmytro, Toshchevikov Vladimir, Saphiannikova Marina, Heinrich Gert
Leibniz-Institut für Polymerforschung Dresden e.V., Hohe Str. 6, 01069 Dresden, Germany.
Soft Matter. 2014 Apr 7;10(13):2213-25. doi: 10.1039/c3sm52440j.
A new theoretical formalism is developed for the study of the mechanical behaviour of magneto-sensitive elastomers (MSEs) under a uniform external magnetic field. This formalism allows us to combine macroscopic continuum-mechanics and microscopic approaches for complex analysis of MSEs with different shapes and with different particle distributions. It is shown that starting from a model based on an explicit discrete particle distribution one can separate the magnetic field inside the MSE into two contributions: one which depends on the shape of the sample with finite size and the other, which depends on the local spatial particle distribution. The magneto-induced deformation and the change of elastic modulus are found to be either positive or negative, their dependences on the magnetic field being determined by a non-trivial interplay between these two contributions. Mechanical properties are studied for two opposite types of coupling between the particle distribution and the magneto-induced deformation: absence of elastic coupling and presence of strong affine coupling. Predictions of a new formalism are in a qualitative agreement with existing experimental data.
一种新的理论形式被开发用于研究磁敏弹性体（MSEs）在均匀外磁场下的力学行为。这种形式使我们能够将宏观连续介质力学和微观方法结合起来，对具有不同形状和不同颗粒分布的MSEs进行复杂分析。结果表明，从基于明确离散颗粒分布的模型出发，可以将MSE内部的磁场分为两种贡献：一种取决于有限尺寸样品的形状，另一种取决于局部空间颗粒分布。发现磁致变形和弹性模量的变化可为正或为负，它们对磁场的依赖性由这两种贡献之间的非平凡相互作用决定。针对颗粒分布与磁致变形之间两种相反类型的耦合研究了力学性能：无弹性耦合和存在强仿射耦合。新形式的预测与现有实验数据在定性上一致。
