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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >A generalized electro-elastic theory of polymer networks
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A generalized electro-elastic theory of polymer networks

机译：聚合物网络的广义电弹性理论

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摘要

A rigorous multi-scale analysis of the electromechanical coupling in dielectric polymers is conducted. The body couples stemming from a misalignment between the electric field and the electric-dipole density vector are studied and the conservation laws for polymer networks are derived. Using variational principles, expressions for the polarization and the stress are determined. Interestingly, it is found that the stress tensor resulting from coupled loadings in which the electric field is misaligned with the principal stretch directions is not symmetric and the asymmetry arises from the body couples. Next, the electromechanical response of a chain is analyzed. The deformations of the individual polymer chains are related to the macroscopic deformation via two highly non-linear constraints -the first pertaining to the compatibility of the local deformations with the imposed macroscopic one and the second stems from the symmetric part of the stress at equilibrium. In accord with the proposed framework, an amended three-chains model is introduced. The predictions of this model are found to be in excellent agreement with experimental findings. Lastly, the behavior of a polymer subjected to a simple shear and an electric field is studied. The offset between the electric field and the principal directions gives rise to body couples, a polarization that is not aligned with the electric field, and an asymmetric stress tensor.
机译：对介电聚合物中的机电耦合进行了严格的多尺度分析。研究了由电场和电偶极子密度矢量之间未对准引起的体对，并推导了聚合物网络的守恒律。使用变分原理，确定极化和应力的表达式。有趣的是，发现由电场与主拉伸方向未对准的耦合载荷产生的应力张量是不对称的，并且不对称性是由体耦合引起的。接下来，分析链条的机电响应。各个聚合物链的变形通过两个高度非线性的约束与宏观变形有关-第一个与局部变形与施加的宏观变形的相容性有关，第二个与平衡时应力的对称部分有关。根据提出的框架，引入了修正的三链模型。发现该模型的预测与实验结果非常吻合。最后，研究了聚合物在简单剪切和电场作用下的行为。电场和主方向之间的偏移会引起体耦合，与电场不对齐的极化以及不对称应力张量。

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