Non Euclidean geometry model for chemo mechanical coupling in self assembled polymers towards dynamic elasticity

Xinga, Ziyu, Lua, Haibao, Shub, Dong-Wei and Fu, Yong Qing (2022) Non Euclidean geometry model for chemo mechanical coupling in self assembled polymers towards dynamic elasticity. Polymer. ISSN 0032-3861 (In Press)

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Abstract

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.

Item Type: Article
Additional Information: Funding information: This work is supported by National Natural Science Foundation of China (NSFC) under Grant No. 11725208 and 12172107, and the Newton Mobility Grant (IE161019) through the UK Royal Society and NFSC.
Uncontrolled Keywords: hydrogel, self-assembled, Non-Euclidean geometry
Subjects: F200 Materials Science
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: John Coen
Date Deposited: 21 Jun 2022 09:30
Last Modified: 21 Jun 2022 09:30
URI: http://nrl.northumbria.ac.uk/id/eprint/49365

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