Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models
Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models
复制标题
考虑基于微机械的网络模型的电活性聚合物的乘法电弹性
DOI：
10.1016/j.cma.2014.12.017
复制
发表时间：
2015
影响因子：
7.2
通讯作者：
C. Miehé
中科院分区：
文献类型：
--
作者：
Dominic Zäh;C. Miehé
电活性聚合物是在大应变下表现出电-机械耦合行为的材料。它们通过对外加电场的变形来响应，并作为传感器和致动器应用于先进的工业环境中，例如在机器人、仿生学和智能结构中。这些材料的预测建模必须考虑其微观结构的特征，包括交联聚合物链基质的无定形基质和可能的一部分结晶颗粒。聚合物网络对机电整体响应具有重要影响，特别是在大应变状态下。这项工作的主要目的是概述一个一般的建模结构的电活性聚合物的宏观连续水平上，它结合了现有的微观为基础的网络模型的交联聚合物的模块化格式。为了解释与嵌入到聚合物网络中的结晶颗粒聚集体相关的电偶极子，我们考虑了基于变形梯度乘法分解为电诱导和应力产生部分的网络模型的链接。这包括一个单独的本构模型的电诱导拉伸驱动的粒子偶极子。在这里，我们将李和克利夫顿型的右和左分解，后者似乎更适合于建模的电活性聚合物，由于其依赖于真实的电场。此外，微机械结构的变形依赖的介电常数的聚合物链矩阵被考虑在内。我们开发了一个统一的建模结构和其数值实现的细节，这些替代的运动学假设，并将其与所谓的橡胶弹性的微球网络模型，利用均匀化的链取向空间的联合收割机。这提供了一个先进的模型问题的应用所提出的本构框架的EAP。
Electro-active polymers are materials which exhibit coupled electro-mechanical behavior at large strains. They respond by a deformation to an applied electrical field and are applied in advanced industrial environments as sensors and actuators, for example in robotics, biomimetics and smart structures.A predictive modeling of these materials must account for characteristic features of their microstructure, consisting of an amorphous matrix of cross-linked polymer chain matrix and possibly a fraction of crystalline particles. The polymer network has an important effect on the electro-mechanical overall response, in particular in the large strain regime. The key intention of this work is to outline a general modeling structure for electroactive polymers on the macroscopic continuum level, that incorporates existing micromechanically-based network models for cross-linked polymers in a modular format. In order to account for electric dipoles associated with crystalline particle aggregates embedded into the polymer network, we consider a link to the network model based on multiplicative decompositions of the deformation gradient into electrically-induced and stress-producing parts. This includes a separate constitutive modeling of an electrically-induced stretch driven by the particle dipoles. Here, we incorporate Lee- and Clifton-type right and left decompositions, where the latter seems more appropriate for the modeling of electroactive polymers due to its dependence on the true electric field. Furthermore, micromechanical structures for a deformation-dependent permittivity of the polymer chain matrix are taken into account. We develop details of a unified modeling structure and its numerical implementation for those alternative kinematic assumptions, and combine it with the so-called microsphere network model of rubber elasticity, that exploits a homogenization over a chain orientation space. This provides an advanced model problem for the application of the proposed constitutive framework for EAPs.
耗散电磁力学的变分原理：功能材料宏观建模的框架
影响因子：
2.9
作者：
D. Rosato;B. Kiefer
通讯作者：
B. Kiefer