Mechanical properties of magneto-sensitive elastomers: unification of the continuum-mechanics and microscopic theoretical approaches
Mechanical properties of magneto-sensitive elastomers: unification of the continuum-mechanics and microscopic theoretical approaches
复制标题
DOI：
10.1039/c3sm52440j
复制
发表时间：
2014-01-01
期刊：
影响因子：
3.4
通讯作者：
Heinrich, Gert
中科院分区：
文献类型：
--
作者：
Ivaneyko, Dmytro;Toshchevikov, Vladimir;Heinrich, Gert
本文提出了一种新的磁敏弹性体在均匀外磁场作用下力学行为的理论研究方法。这种形式主义使我们能够结合联合收割机宏观连续力学和微观的方法复杂的分析具有不同的形状和不同的颗粒分布的MSE。结果表明，从一个明确的离散颗粒分布的基础上的模型开始，可以将MSE内的磁场分成两个贡献：一个取决于具有有限大小的样品的形状，另一个取决于局部空间颗粒分布。磁致变形和弹性模量的变化被发现是正的或负的，它们对磁场的依赖性由这两个贡献之间的非平凡的相互作用确定。机械性能的研究两种相反类型的颗粒分布和磁致变形之间的耦合：没有弹性耦合和存在强仿射耦合。一个新的形式主义的预测与现有的实验数据在定性上一致。
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.