In the present work, a continuum-based material model has been developed for an isotropic magneto-active elastomer (MAE) to investigate its behavior under small deformations. Firstly, the governing magneto-mechanical equations are formulated for the flexible magneto-active medium. Subsequently, a linearization scheme is used to construct constitutive equations for the small-deformation analysis of MAEs by expressing the magnetic parameters by two constituents involving the rigid-body and perturbation states. The material constants of the constitutive model are estimated from the experiments performed on a right cylindrical sample of a magneto-active material comprising the elastic matrix with 15% volume fraction of carbonyl iron particles.

中文翻译：

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各向同性磁活性弹性体小变形材料模型的开发

在目前的工作中，已经为各向同性磁活性弹性体 (MAE) 开发了基于连续介质的材料模型，以研究其在小变形下的行为。首先，针对柔性磁活性介质制定了控制磁力方程。随后，通过用刚体和扰动状态的两个成分来表达磁参数，使用线性化方案来构建用于 MAE 小变形分析的本构方程。本构模型的材料常数是根据对包含弹性基体和 15% 体积分数的羰基铁颗粒的磁活性材料的正圆柱样品进行的实验来估计的。