Modelling Constrained Recovery of UV-Curable Shape Memory Polymer toward 4D Printing

Haixin Zhang, Ruirui Zhang and Chao Yuan*, 
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Abstract

Ultraviolet (UV) curable shape memory polymers (SMPs) are a family of smart materials that have been widely used in four-dimensional (4D) printing due to their fine compatibility to stereolithography based additive manufacturing and superior performance in creating programmable shapeshifting. Currently, the deployment of 4D printed shape memory structure is idealized as a free recovery process, which, however, frequently leads to overestimation of shape recovery ratio in practice due to the existence of external loading or constraint. Herein, we treat the UV crosslinked SMP as a thermoviscoelastic solid and derive analytical solutions to predict the maximum recovery stress under fully constrained shape recovery and shape recovery ratio under partially constrained shape recovery. Effects of training parameters including programming strain, programming temperature, fixing temperature, storage time, recovery temperature and constraining stress have been investigated through parametric studies. Good agreement has been achieved among theoretical prediction, experimental investigation and numerical simulation. Hopefully, our model can provide a theoretical tool that quantitatively guides the design of 4D printed shape memory structures toward practical applications.

建立紫外线固化形状记忆聚合物的受限恢复模型,实现 4D 印刷
紫外线(UV)固化形状记忆聚合物(SMPs)是一系列智能材料,由于其与基于立体光刻技术的增材制造技术具有良好的兼容性,并且在创建可编程形状变换方面具有卓越的性能,因此被广泛应用于四维(4D)打印。目前,4D 打印形状记忆结构的应用被理想化为自由恢复过程,但在实际应用中,由于外部负载或约束的存在,经常会导致形状恢复率被高估。在此,我们将紫外交联 SMP 视为热变形弹性固体,并推导出分析解,以预测完全受约束形状复原下的最大恢复应力和部分受约束形状复原下的形状复原率。通过参数研究,考察了编程应变、编程温度、固定温度、存储时间、恢复温度和约束应力等训练参数的影响。理论预测、实验研究和数值模拟之间取得了良好的一致性。希望我们的模型能提供一种理论工具,定量地指导 4D 印刷形状记忆结构的设计走向实际应用。
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