Journal of Shanghai Jiao Tong University

Journal of Shanghai Jiaotong University >

2018 , Vol. 52 >Issue 8: 969 - 975

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2018.08.013

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

Expand
  • 1. Space Structure Research Center-SSRC, Shanghai Jiao Tong University, Shanghai 200240, China; 2. Shanghai Aerospace System Engineering Research Institute, Shanghai 201108, China

Received date: 2017-03-31

Fold

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.

Key words： shape memory polymer; generalized Maxwell model; stress and strain evolutions; time temperature superposition principle

Cite this article

FAN Pengxuan,CHEN Wujun,ZHAO Bing,HU Jianhui,ZHANG Daxu,FANG Guangqiang,PENG Fujun . The Mechanical Constitutive Model of Shape Memory Polymer Based on Generalized Maxwell Model[J]. Journal of Shanghai Jiaotong University, 2018 , 52(8) : 969 -975 . DOI: 10.16183/j.cnki.jsjtu.2018.08.013

References

［1］赵建宝, 吴雪莲, 戈晓岚, 等. 形状记忆聚合物及其应用前景［J］. 材料导报, 2015, 29(21): 75-80. ZHAO Jianbao, WU Xuelian, GE Xiaolan, et al. Shape memory polymer and its application prospects［J］. China Materials Review, 2015, 29(21): 75-80. ［2］ZHENG N, XIE T, FANG G Q, et al. High strain epoxy shape memory polymer［J］. Polymer Chemistry, 2015, 6(16): 3046-3053. ［3］BHATTACHARYYA A, TOHUSHI H. Analysis of the isothermal mechanical response of a shape memory polymer rheological model［J］. Polymer Engineering and Science, 2000, 40(12): 2498-2510. ［4］PIECZYSKA E A, MAJ M, KOWALCZYK-GAJEWSKA K, et al. Mechanical and infrared thermo-graphy analysis of shape memory polyurethane［J］. Journal of Materials Engineering and Performance, 2014, 23(7): 2553-2560. ［5］DIANI J, LIU Y P, GALL K. Finite strain 3D thermoviscoelastic constitutive model for shape memory polymers［J］. Polymer Engineering & Science, 2006, 46(4): 486-492. ［6］CHEN Y C, LAGOUDAS D C. A constitutive theory for shape memory polymers. Part II［J］. Journal of the Mechanics and Physics of Solids, 2008, 56(5): 1766-1778. ［7］GILORMINI P, DIANI J. On modeling shape memory polymers as thermoelastic two-phase composite materials［J］. Comptes Rendus Mécanique, 2012, 340: 338-348. ［8］YU K, GE Q, JERRY Q H. Reduced time as a unified parameter determining fixity and free recovery of shape memory polymers［J］. Nature Communications, 2014, 5(2): 3066. ［9］DIANI J, GILORMINI P, FREDY C, et al. Predicting thermal shape memory of crosslinked polymer networks from linear viscoelasticity［J］. International Journal of Solids and Structures, 2012, 49(5): 793-799. ［10］吕海宝, 冷劲松, 杜善义. 形状记忆聚合物力学行为及其物理机制［J］. 固体力学学报, 2017, 38(1): 1-12. L Haibao, LENG Jingsong, DU Shanyi. Working mechanism for the mechanical behavior of shape memory polymer［J］. Chinese Journal of Solid Mechanics, 2017, 38(1): 1-12. ［11］章巧芳, 林文武, 张钦, 等. 热驱动形状记忆聚合物三维力学本构模型［J］. 浙江工业大学学报, 2015, 43(1): 43-46. ZHANG Qiaofang, LIN Wenwu, ZHANG Qin, et al. 3D constitutive model of temperature-induced shape memory polymers［J］. Journal of Zhejiang University of Technology, 2015, 43(1): 43-46. ［12］周博, 刘彦菊, 冷劲松. 形状记忆聚合物的宏观力学本构模型［J］. 中国科学: 物理学 力学 天文学, 2010, 40(7): 896-903. ZHOU Bo, LIU Yanju, LENG Jingsong. Macro constitutive model of shape memory polymers［J］. Scientia Sinica Phys, Mech & Astron, 2010, 40(7): 896-903. ［13］时光辉. 形状记忆聚合物及其智能结构热力学行为研究［D］. 北京: 北京工业大学机械工程与应用电子技术学院, 2013. SHI Guanghui. Thermomechanical properties of shape memory polymer and its smart structures［D］. Beijing: College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, 2013. ［14］谭巧. 形状记忆环氧聚合物及其复合材料的典型力学行为研究［D］. 哈尔滨: 哈尔滨工业大学航天学院, 2015. TAN Qiao, Typical mechanical behavior of epoxy shape memory polymer and its composite［D］. Harbin: School of Astronautics, Harbin Institute of Technology, 2015. ［15］罗玲. 基于粘弹性理论的树脂及其纤维复合材料的形状记忆数值模拟［D］. 济南: 山东大学材料科学与工程学院, 2013. LUO Ling. Simulation of shape memory properties for resin and their reinforced composites based on viscoelasticity［D］. Jinan: School of Material Science and Engineering, Shandong University, 2013. ［16］DASSUALT S. Abauqs theory guide［M］. Providence: Dassault Systèmes Simulia Corp, 2016. ［17］游晋, 房光强, 陈务军, 等. 形状记忆环氧树脂及其碳纤维织物增强环氧树脂的动态力学性能［J］. 复合材料学报, 2017, 34(1): 1-7. YOU Jin, FANG Guangqiang, CHEN Wujun, et al. Dynamic mechanical properties of shape memory epoxy polymer and 4-harness satin carbon fiber weave reinforced composites［J］. Acta Materiae Compositae Sinca, 2017, 34(1): 1-7. ［18］GOH S M, CHARALAMBIDES M N, WILLIAMS J G. Determination of the constitutive constants of non-linear viscoelastic materials［J］. Mechanics of Time-Dependent Materials, 2004, 8(3): 255-268. ［19］GUTIERREZ-LEMINI D. Engineering viscoelasticity［M］. New York: Springer Science & Business Media, 2014.
Options
Outlines

/

〈 〉