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Non-Euclidean geometry model for chemo-mechanical coupling in self-assembled polymers towards dynamic elasticity
Polymer ( IF 4.6 ) Pub Date : 2022-06-23 , DOI: 10.1016/j.polymer.2022.125094
Ziyu Xing, Haibao Lu, Dong-Wei Shu, Yong-Qing Fu

Self-assembly plays a fundamental role to determine thermodynamic properties of polymer systems, e.g., resulting in the formation of dynamically cross-linked networks with varied elasticity. However, the working principle of chemo-mechanical coupling between the self-assembly and elasticity of polymers is complex and has not been well understood. In this study, a non-Euclidean geometry model incorporating thermodynamics of microphase separation is proposed to understand the chemo-mechanical coupling in self-assembled triblock polymers. The thermodynamic separation of microphases, which is resulted from the self-assembly of polymeric molecules, is formulated using a non-Euclidean geometry equation, of which the geometrical parameters are applied to characterize the topologies of self-assembled and cross-linked networks. The non-Euclidean geometry model is further employed to describe chemo-mechanical coupling between the self-assembled network and dynamic elasticity of the triblock polymers, based on the rubber elasticity theory. Effectiveness of the proposed model is verified using both finite-element analysis and experimental results reported in literature. This study provides a new geometrical approach to understand the mechanochemistry and thermodynamics of self-assembled block polymers.



中文翻译:

自组装聚合物化学机械耦合向动态弹性的非欧几何模型

自组装在确定聚合物系统的热力学性质方面发挥着重要作用,例如,导致形成具有不同弹性的动态交联网络。然而,聚合物的自组装与弹性之间的化学机械耦合的工作原理很复杂,尚未得到很好的理解。在这项研究中,提出了一种结合微相分离热力学的非欧几何模型来理解自组装三嵌段聚合物中的化学-机械耦合。由聚合物分子自组装产生的微相的热力学分离是使用非欧几里得几何方程制定的,该方程的几何参数用于表征自组装和交联网络的拓扑结构。基于橡胶弹性理论,进一步采用非欧几何模型来描述自组装网络与三嵌段聚合物动态弹性之间的化学机械耦合。使用文献中报道的有限元分析和实验结果验证了所提出模型的有效性。本研究提供了一种新的几何方法来理解自组装嵌段聚合物的机械化学和热力学。

更新日期:2022-06-25
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