磁流变弹性体中铁磁颗粒尺寸大小随机分布下的磁致剪切模量的分析

Analysis on magnetic field-induced shear modulus of magnetorheological elastomer based on the random distribution of ferromagnetic particle size

考虑到磁流变弹性体内铁磁颗粒尺寸大小存在随机分布的现象,对磁流变弹性体的偶极子进行了修正,分析了不同尺寸铁磁颗粒混合的磁流变弹性体磁致剪切模量。该铁磁颗粒尺寸大小随机分布的修正模型不仅能够在单一粒径时退化为传统的偶极子模型,还可以对用不同尺寸的铁磁颗粒混合制备的磁流变弹性体磁致剪切模量的不均性予以预测,并对磁致剪切模量随夹杂铁磁颗粒的体积分数呈非线性变化予以了预测,相关结果与实验吻合较好。

A modified magnetic dipole model was presented in this paper to analyze the magnetic field-induced shear modulus of the magnetorheological （MR） elastomer mixed by different size particles, where the random distribution of the size of ferromagnetic particles inside the elastomer is considered. The model not only can be degenerated to the traditional magnetic dipole model as the ferromagnetic particles being same size, but also is applied to predict the magnetic field-induced shear modulus of the MR elastomer with the distribution of the random-size particles. Additionally, the nonlinear relationship between the magnetic field-induced shear modu- lus and the volume fraction of ferromagnetic particles in the MR elastomer is predicted which is in good qualita- tive agreement with the experimental observation.