We propose in this work a hybrid microstructural-phenomenological modeling of composite dielectric elastomer based on statistical mechanics. The composite dielectric elastomer is made from high permittivity filler particles doped to elastomeric based material. We assume that the particles are uniformly distributed in the based material and form particle-chain structures. With the help of statistical mechanics, the electroelastic strain energy is formulated from the particle-chain reorientation induced by applied electric field. Moreover, the phenomenological dielectric constant model is used to eliminate the inverse Langevin function in the strain energy formulation. Our proposed constitutive model is validated with respect to two electroelastic experiments which use two composite dielectric elastomers with different material properties. From the validation, our proposed model works well to capture large stretch electroelastic deformations not only for different material properties but also for different particle fraction in the composite dielectric elastomer.

我们在这项工作中提出了一种基于统计力学的复合介电弹性体的混合微观结构-现象学建模方法。复合介电弹性体由掺杂到弹性体基材料中的高介电常数填料颗粒制成。我们假设粒子均匀地分布在基础材料中并形成粒子链结构。在统计力学的帮助下，由施加电场引起的粒子链重新定向来形成电弹性应变能。此外，现象学介电常数模型用于消除应变能公式中的逆朗文函数。关于两个使用两种具有不同材料特性的复合介电弹性体的电弹性实验，我们提出的本构模型得到了验证。