Towards a physics-based multiscale modelling of the electro-mechanical coupling in electro-active polymers
Towards a physics-based multiscale modelling of the electro-mechanical coupling in electro-active polymers
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DOI：
10.1098/rspa.2015.0462
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发表时间：
2015-02
期刊：
影响因子：
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通讯作者：
Noy Cohen;A. Menzel;G. deBotton
中科院分区：
文献类型：
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作者：
Noy Cohen;A. Menzel;G. deBotton
由于电活性聚合物(EAP)的工业应用越来越多，对准确捕捉其行为的机电模型的需求也越来越大。为此，我们根据三种机电模型比较了EAP经历均匀变形时的预测行为。第一个模型是一个基于唯象连续介质的模型，它由力学Gent模型和电场与极化之间的线性关系组成。根据第二模型的电响应和机械响应基于聚合物链网络的物理结构。第三种模型结合了新胡肯机械响应和物理激励的基于微结构的电学行为的长链模型。在微观结构驱动的模型中，通过微球技术实现了从微观到宏观的整合。考虑了四种齐次边界条件，并对三种模型所确定的行为进行了比较。对于微观结构激励模型，首次进行了这些分析并与广泛使用的唯象模型进行了比较。研究中揭示的一些方面，如极化强度与变形的关系，突出表明有必要在微观层面上深入研究EAP的结构和行为及其整体宏观响应之间的关系。
Owing to the increasing number of industrial applications of electro-active polymers (EAPs), there is a growing need for electromechanical models which accurately capture their behaviour. To this end, we compare the predicted behaviour of EAPs undergoing homogeneous deformations according to three electromechanical models. The first model is a phenomenological continuum-based model composed of the mechanical Gent model and a linear relationship between the electric field and the polarization. The electrical and the mechanical responses according to the second model are based on the physical structure of the polymer chain network. The third model incorporates a neo-Hookean mechanical response and a physically motivated microstructurally based long-chains model for the electrical behaviour. In the microstructural-motivated models, the integration from the microscopic to the macroscopic levels is accomplished by the micro-sphere technique. Four types of homogeneous boundary conditions are considered and the behaviours determined according to the three models are compared. For the microstructurally motivated models, these analyses are performed and compared with the widely used phenomenological model for the first time. Some of the aspects revealed in this investigation, such as the dependence of the intensity of the polarization field on the deformation, highlight the need for an in-depth investigation of the relationships between the structure and the behaviours of the EAPs at the microscopic level and their overall macroscopic response.