A dynamic trap well model of hydrothermal shape-memory effect in amorphous polymers undergoing tailorable shape recovery behaviour

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-10 DOI:10.1098/rspa.2023.0615
Jiabin Shi, Galina Gorbacheva, Haibao Lu, Denvid Lau
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Abstract

A dynamic trap well model is developed to describe the complex relaxations of functional segments, and explore the working principles behind the hydrothermal coupling effect in shape memory polymers (SMPs). A constitutive relationship among shape fixity strain, shape recovery strain and relaxation time has been formulated to characterize the hydrothermal coupling effect using geometrical parameters (i.e. width and height) of trap wells. Moreover, effects of temperature and solvent absorption on dynamic relaxation behaviours of SMPs have been formulated based on the Flory-Huggins theory and Fokker-Plank probability equation. The trap well model effectively analyzes the shape fixity ratio and shape recovery ratio within ranges of 50–100% and 0–100%, respectively. Finally, an extended Maxwell model is proposed to formulate the dynamic mechanical behaviours of SMPs with hydrothermal shape-memory effect (SME), and the analytical results have been verified using the experimental results reported in literature. A good agreement between the analytical results obtained from the proposed model and the experimental data is present, where the correlation coefficient (R2) is 95%. The present study firstly introduces the dynamic trap well model for shape memory behaviours and intricate relaxations, and then accurately predicts the dynamic shape recovery of SMP in response to hydrothermal stimulus.

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无定形聚合物中水热形状记忆效应的动态陷井模型,具有可定制的形状恢复行为
本研究建立了一个动态陷井模型来描述功能片段的复杂弛豫,并探索形状记忆聚合物(SMP)中水热耦合效应背后的工作原理。在形状固定应变、形状恢复应变和弛豫时间之间建立了构成关系,从而利用陷井的几何参数(即宽度和高度)来描述水热耦合效应。此外,基于 Flory-Huggins 理论和 Fokker-Plank 概率方程,还提出了温度和溶剂吸收对 SMP 动态弛豫行为的影响。捕集井模型分别有效地分析了 50-100% 和 0-100% 范围内的形状固定率和形状恢复率。最后,提出了一个扩展的麦克斯韦模型来描述具有热液形状记忆效应(SME)的 SMP 的动态力学行为,并利用文献报道的实验结果验证了分析结果。根据提出的模型得出的分析结果与实验数据之间存在良好的一致性,相关系数(R2)达到 95%。本研究首先介绍了形状记忆行为和复杂弛豫的动态陷井模型,然后准确预测了 SMP 在水热刺激下的动态形状恢复。
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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