Based on the magnetic interaction energy, using derivative of the magnetic energy density, a model is proposed to compute the magnetic-induced shear modulus of magnetorheological elastomers. Taking into account the influences of particles in the same chain and the particles in all adjacent chains, the traditional magnetic dipole model of the magnetorheological elastomers is modified. The influence of the ratio of the distance etween adjacent chains to the distance between adjacent particles in a chain on the magnetic induced shear odulus is quantitatively studied. When the ratio is large, the multi-chain model is compatible with the single chain model, but when the ratio is small, the difference of the two models is significant and can not be neglected. Making certain the size of the columns and the distance between adjacent columns, after constructing the computational model of BCT structures, the mechanical property of the magnetorheological elastomers composed of columnar structures is analyzed. Results show that, conventional point dipole model has overrated the magnetic-induced shear modulus of the magnetorheological elastomers. From the point of increasing the magnetic-induced shear modulus, when the particle volume fraction is small, the chain-like structure exhibits better result than the columnar structure, but when the particle volume fraction is large,the columnar structure will be better.%从颗粒间的磁相互作用能出发,利用磁能密度的变化,计算了磁流变弹性体的磁致剪切模量.考虑了链内颗粒和相邻链中颗粒的影响,修正了磁流变弹性体的磁偶极子模型.构建了BCT结构计算模型,对含柱状结构的磁流变弹性体进行了计算.计算结果表明,传统的点偶极子模型高估了磁流变弹性体的磁致剪切模量;在提高磁流变弹性体的磁致剪切模量方面,颗粒体积比浓度较小时,链状结构比柱状结构要好;而当颗粒体积比浓度较大时,柱状结构优于链状结构.
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