• 学报（中文） •

### 基于广义Maxwell模型的形状记忆聚合物力学本构

1. 1. 上海交通大学 空间结构研究中心， 上海 200240； 2. 上海宇航系统工程研究所， 上海 201108
• 收稿日期:2017-03-31
• 通讯作者: 陈务军，男，教授，博士生导师.E-mail: cwj@sjtu.edu.cn.
• 作者简介:樊鹏玄（1996-），男，贵州省六盘水市人，博士生，从事智能材料与结构研究.
• 基金资助:
航天先进技术联合研究中心技术创新项目（USCAST2015-24，2016-21）

### The Mechanical Constitutive Model of Shape Memory Polymer Based on Generalized Maxwell Model

FAN Pengxuan,CHEN Wujun,ZHAO Bing,HU Jianhui,ZHANG Daxu,FANG Guangqiang,PENG Fujun

1. 1. Space Structure Research Center-SSRC, Shanghai Jiao Tong University, Shanghai 200240, China; 2. Shanghai Aerospace System Engineering Research Institute, Shanghai 201108, China
• Received:2017-03-31

Abstract: In order to reveal the viscoelastic mechanism and conduct simulation of SM (shape memory) effect, the stress and strain evolutions and fixity ratio equation were derived from the generalized Maxwell model with time temperature superposition principle. Fixity ratio equation shows that the shape fixity ratio can be lifted by raising the ratio of holding time over tension time. The evolution equations reveal the viscous-elastic nature of the SM effect. The shift function is decreased because of the dropping of temperature, which will reduce the actual time and result in delaying of shape recovery. When the temperature raise up, the reducing effect is weakened, the shape recovery will occur. Simulation methods are established based on the viscoelastic model in Abaqus and user subroutine of Arrhenius equation and WLF equation. The material parameters of epoxy shape memory polymer are obtained by tension-relaxation tests. Then the test and simulation of SM process were conducted. Results indicate that the simulation methods are accurate enough, and Arrhenius equation results in more accurate simulations than WLF equation for epoxy SMP used in the tests.