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Finite deformation analysis of isotropic magnetoactive elastomers
Continuum Mechanics and Thermodynamics ( IF 2.6 ) Pub Date : 2020-06-19 , DOI: 10.1007/s00161-020-00897-x
Alireza Beheshti , Ramin Sedaghati , Subhash Rakheja

In this study, the large deformation analysis of the magnetoactive elastomers based on continuum mechanics approach has been conducted. First, the governing differential equations for the spatial configuration are presented. Stored energy density function defined with respect to the invariants of the right or left Cauchy–Green deformation tensor and the magnetic field induction vector is adopted to develop a material model for finite deformation of isotropic magnetoactive elastomers (MAEs). An isotropic magnetoactive sample with 15% iron particle volume fraction is then fabricated, and a test setup has been designed to measure its magnetic permeability. Using an advanced magnetorheometer, quasi-static tests are then carried out on MAE circular cylindrical samples to find their torque-twist response under various magnetic fields. The experimental results are then effectively utilized to identify the unknown parameters in the proposed material model. The accuracy of the proposed constitutive model in predicting the response behavior of the MAE is then demonstrated through comparison of theoretical results with those obtained experimentally.



中文翻译:

各向同性磁活性弹性体的有限变形分析

在这项研究中,基于连续力学方法对磁活性弹性体进行了大变形分析。首先,提出了空间配置的控制微分方程。相对于左右柯西-格林变形张量和磁场感应矢量的不变性定义的存储能量密度函数,可用于开发各向同性磁活性弹性体(MAE)有限变形的材料模型。然后制作出铁含量为15%的各向同性磁活性样品,并设计了测试装置来测量其磁导率。然后使用先进的磁流变仪,对MAE圆柱样品进行准静态测试,以发现它们在各种磁场下的扭转扭矩响应。然后有效地利用实验结果来识别所提出的材料模型中的未知参数。然后,通过将理论结果与实验获得的结果进行比较,证明了所提出的本构模型预测MAE响应行为的准确性。

更新日期:2020-06-19
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