基于时温等效原理的热致形状记忆聚合物模型

A Model of Glassy Shape Memory Polymer Based on Time-temperature Equivalence Principle

基于粘弹性高分子理论和时温等效原理,对玻璃态热致型形状记忆聚合物的形状记忆过程进行模拟。将形状记忆聚合物的粘弹性应力应变响应分为依赖于应变的应力部分和依赖于时间的松弛部分。依赖于应变的应力部分采用不可压缩的Mooney-Rivlin超弹性模型,依赖于时间的松弛部分采用Prony级数表示。通过新的时温等效方程来考虑模量的温度相关性。模拟结果与实验的比较表明:模拟结果与实验吻合很好。

Based on viscoelastic theory of polymer and time-temperature equivalence principle,the shape memory process of the glassy shape memory polymer was simulated. The viscoelastic stress and strain of shape memory polymer can be divided into two parts： the stress depending on strain and the relaxation depending on time. The stress part uses the incompressible Mooney-Rivlin hyper-elastic model and the relaxation part is expressed by the Prony series. The temperature dependence of the modulus is implemented by a new time-temperature equivalence equation. Finally,it was found that the simulations were good agreement with the existed experiments.