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Modelling electro-active polymers with a dispersion-type anisotropy

机译：用分散型各向异性建模电活性聚合物

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摘要

We propose a novel constitutive framework for electro-active polymers (EAPs) that can take into account anisotropy with a chain dispersion. To enhance actuation behaviour, particle-filled EAPs become promising candidates nowadays. Recent studies suggest that particle-filled EAPs, which can be cured under an electric field during the manufacturing time, do not necessarily form perfect anisotropic composites, rather they create composites with dispersed chains. Hence in this contribution, an electro-mechanically coupled constitutive model is devised that considers the chain dispersion with a probability distribution function in an integral form. To obtain relevant quantities in discrete form, numerical integration over the unit sphere is utilized. Necessary constitutive equations are derived exploiting the basic laws of thermodynamics that result in a thermodynamically consistent formulation. To demonstrate the performance of the proposed electro-mechanically coupled framework, we analytically solve a non-homogeneous boundary value problem, the extension and inflation of an axisymmetric cylindrical tube under electro-mechanically coupled load. The results capture various electro-mechanical couplings with the formulation proposed for EAP composites.
机译：我们提出了一种用于电活性聚合物（EAPS）的新组成型框架，其可以考虑具有链分散的各向异性。为了增强行动行为，粒子填充的EAP现在成为有前途的候选人。最近的研究表明，在制造时间期间，可以在电场下固化的颗粒填充的EAP，不一定形成完美的各向异性复合材料，而是制造具有分散链的复合材料。因此，在这种贡献中，设计了一种电机耦合的本构模型，其认为具有以整体形式的概率分布函数的链分散。为了以离散形式获得相关数量，利用单位球体上的数值积分。推导出必要的本构方程，利用热力学的基本规律，导致热力学上一致的配方。为了证明所提出的电动机械耦合框架的性能，我们分析了在电动机电耦合负载下的轴对称圆柱形管的伸展和膨胀的非均匀边值问题。结果捕获各种机电联轴器，该配方提出用于EAP复合材料。

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