This work analyses the shear behavior of magnetorheological elastomers (MRE), a class of smart materials which presents interesting magneto-mechanical properties. In order to determine the effect of several variables at a time, a design of experiment approach is adopted. A set of several samples of MRE was manufactured, by varying the weight fraction of ferromagnetic material inside the viscoelastic matrix and the isotropicity of the material, by adding an external magnetic field while the elastomeric matrix was still liquid. The mechanical behavior of each sample was analyzed by conducting cyclic tests at several shear rates, both with and without an external magnetic field. Moreover, in order to estimate the maximum shear stress, the specimens were loaded monotonically up to failure. Shear stiffness, maximum shear stress and specific dissipated energy were calculated on the basis of the experimental data. The results were analyzed using an Analysis of Variance (ANOVA) to assess the statistical influence of each variable. The experimental results highlighted a strong correlation between the weight fraction of ferromagnetic material in each sample and its mechanical behavior. Moreover, the dissipated energy of the MRE drops down when the magnetic field stiffens the behavior or the shear rate increases. The ultimate failure shear stress is strongly affected by the external magnetic field, increasing it by nearly 50%. The ANOVA on the results provides a simple phenomenological model is built for each output variable and it is compared with the experimental tests. These models produce a fast and fairly accurate prediction of each analyzed response of the MRE under various shear rates and applied magnetic fields.

这项工作分析了磁流变弹性体（MRE）的剪切行为，磁流变弹性体是一类智能材料，具有有趣的磁机械性能。为了一次确定多个变量的影响，采用了一种实验方法设计。通过改变粘弹性基质内部的铁磁材料的重量分数和材料的各向同性，并在弹性体基质仍为液态的情况下添加外部磁场，来制造一组MRE样品。在有和没有外部磁场的情况下，通过在几种剪切速率下进行循环测试来分析每个样品的机械性能。此外，为了估计最大剪切应力，将试样单调加载直至破坏。剪切刚度 根据实验数据计算最大剪切应力和比耗散能。使用方差分析（ANOVA）分析结果，以评估每个变量的统计影响。实验结果突出了每个样品中铁磁材料的重量分数与其机械性能之间的密切关系。此外，当磁场使行为变硬或剪切速率增加时，MRE的耗散能量会下降。极限破坏剪切应力受外部磁场的强烈影响，使其增加近50％。结果的方差分析为每个输出变量提供了简单的现象学模型，并将其与实验测试进行了比较。