A constitutive model for the temperature, prestrain, dynamic strain amplitude and the magnetic field dependence of the dynamic shear modulus for a magneto-sensitive (MS) elastomer is developed. It is an augmentation of a model consisting of an elastic, fractional order derivative viscoelastic and a nonlinear amplitude-dependent smooth Coulomb friction model. The magnetic field dependence is reflected by a parabolic function with an upper limit. A Yeoh formulation of the strain energy function is applied to represent the prestrain dependence. To cover the temperature dependence, a Williams-Landel-Ferry function and an Arrhenius function are used. After parameter identification, a good agreement between the simulation and measurement results is shown, which demonstrates the ability of the model to cover the prestrain and temperature dependency of MS elastomer. Therefore, the expansion of the model to cover the prestrain and temperature enables the prediction of the mechanical performance of MS elastomer under various conditions and improves the possibilities for MS dampers and mounts to meet design criteria.

建立了磁敏（MS）弹性体的温度，预应变，动态应变幅度和动态剪切模量的磁场依赖性的本构模型。它是由弹性，分数阶导数粘弹性和非线性幅度相关的平滑库仑摩擦模型组成的模型的增强。磁场依赖性由具有上限的抛物线函数反映。应变能函数的Yeoh公式适用于表示预应变依赖性。为了覆盖温度依赖性，使用了威廉姆斯-兰德尔-费里（Williams-Landel-Ferry）函数和阿伦尼乌斯（Arrhenius）函数。参数识别后，显示了仿真结果与测量结果之间的良好一致性，这证明了模型具有覆盖MS弹性体的预应变和温度依赖性的能力。因此，通过扩展模型来涵盖预应变和温度，可以预测MS弹性体在各种条件下的机械性能，并提高了MS阻尼器和支座满足设计标准的可能性。