Understanding how ions and solvent molecules migrate within charged membranes is fundamental for advancing the analysis of biological membranes and the design of energy storage and production devices. Recent efforts highlighted a significant interplay between mechanics and electrochemistry in charged membranes, calling for the development of high-fidelity models to describe their interaction. Here, we propose a continuum theory of the chemoelectromechanics of charged membranes, accounting for potentially large deformations and non-idealities of the solution permeating the membrane. We demonstrate the potential applications of our theory within the study of ionic polymer actuators. Our theory predicts sizeable effects of non-idealities and mechanical deformations, enabling insight into the role of mechanics on solute and solvent transport within charged membranes.

了解离子和溶剂分子如何在带电膜内迁移是推进生物膜分析以及能量存储和生产设备设计的基础。最近的努力强调了带电膜中力学和电化学之间的显着相互作用，要求开发高保真模型来描述它们的相互作用。在这里，我们提出了带电膜化学机电的连续统理论，解释了渗透膜溶液的潜在大变形和非理想性。我们展示了我们的理论在离子聚合物致动器研究中的潜在应用。我们的理论预测了非理想和机械变形的巨大影响，