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A Viscoelastic-Plastic Constitutive Model of Shape Memory Polymer

Published online by Cambridge University Press:  26 July 2019

Xueyao Zheng ,
Bo Zhou  and
Shifeng Xue
Xueyao Zheng
Affiliation:
College of Pipeline and Civil Engineering, China University of Petroleum (East China)Qingdao, China
Bo Zhou*
Affiliation:
College of Pipeline and Civil Engineering, China University of Petroleum (East China)Qingdao, China
Shifeng Xue
Affiliation:
College of Pipeline and Civil Engineering, China University of Petroleum (East China)Qingdao, China
*
*Corresponding author (zhoubo@upcedu.cn)
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Abstract

It is of practical significance to develop a constitutive model which is able to predict the thermomechanical behaviors of the shape memory effect occurring in a shape memory polymer (SMP) accurately. The mechanism of shape memory effect of SMP is explained based on the assumption that SMP is composed by two phases, reversible phase and stationary phase. Especially the different flow elements are respectively added to the reversible phase and stationary phase in order to express the plastic behavior of SMP. There are two springs in series, one dashpot and one flow element in the reversible phase. There are two springs in parallel, one dashpot and one flow element in the stationary phase. A constitutive equation is developed to express the thermo-mechanical behaviors of shape memory effect in the SMP based on viscous-elastic mechanics and plastic theory. An internal variable, frozen ratio, is defined to follow the shape memory process in SMP, and the material properties are described as the functions of frozen ratio based on phase transition theorem. The developed constitutive model, which includes above constitutive equation and material parameter functions, is used to numerically simulate the thermo-mechanical behaviors of SMP under various load cycles. Results show that the developed constitutive model can not only predict the shape memory process of SMP accurately, but also express the rate-dependent behaviors of SMP effectively.

Keywords

Shape memory polymerviscoelastic-plasticityconstitutive model
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 5 , October 2019 , pp. 601 - 611
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

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References

REFERENCES

Zhou, T and Tan, H, “Review on constitutive modeling methods of thermally actuated shape memory polymers,” Polymer Materials Science and Engineering 28(5), pp.165–169. (2012).Google Scholar
Chen., S, Hu., J and Zhuo., H, “Properties and mechanism of two-way shape memory polyurethane composites,” Composites Science & Technology 70 (10), pp. 1437–1443(2010).CrossRefGoogle Scholar
Guo., X, Liu., L, Liu., Y, Zhou., B and Leng., J, “Constitutive model for a stress-and thermal-induced phase transition in a shape memory polymer,” Smart Material & Structures, 23 (10), 105019(2014).CrossRefGoogle Scholar
Zhou., B, Liu., Y and Leng., J, “Finite element analysis on thermo-mechanical behavior of styrene-based shape memory polymers,”Acta Polymerica Sinica, 6, pp.525–529(2009).CrossRefGoogle Scholar
Alberto, Belmontel, Xavier, Fernández-Francos and Silvia, De la Flor, “Thermomechanical characterization of thiol-epoxy shape memory thermosets formechanical actuators design,”American institute of physics, pp.030012–1–030012-12,(2018).CrossRefGoogle Scholar
Leng., J, Lan., X, Liu., Y and Du., S, “Shape memory polymer composites and their applications in space deployable structures,” Journal of Astronautics, 31(4), pp.950–956(2010).Google Scholar
Tobushi., H, Hashimoto., T, Hayashi., S and Yamada., E, “Thermomechanical constitutive modeling in shape memory polymer of polyurethane series,” Intelligent Material System &structures, 8 (8), pp.711–718(1997).CrossRefGoogle Scholar
Tobushi., H, Okumura., K, Hayashi., S and Ito., N, “Thermomechanical constitutive model of shape memory polymer,” Mechanics of Materials, 33 (10), pp.545–554(2001).CrossRefGoogle Scholar
Liu., Y, Gall., K, Dunn., M, Greenberg., A and Diani., J, “Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling,” Plasticity, 22 (2), pp. 279–313(2006).CrossRefGoogle Scholar
Huang., K and Huang., Y, “Constitutive relationships of solid,” Beijing: Tsinghua University Press, pp.1–35(1999).Google Scholar
Ward., I and Hadley., D, An Introduction to the Mechanical Properties of Solid Polymers, John Wiley & Sons, LTD, New York. (1993).Google Scholar
Chen, Y and Lagoudas, D, “A constitutive theory for shape memory polymers: part I large deformation,” Journal of the Mechanics &Physics of Solids, 56, pp.1752—1765 (2008).CrossRefGoogle Scholar
Zhou., B, Liu., Y and Leng., J, “A macro-mechanical constitutive model for shape memory polymer” science china, 53 (12), pp.2266–2273(2010).Google Scholar
Baghani, M, Naghdabadi, R, Arghavani, J and Sohrabpour, S, “A thermodynamically-consistent 3D constitutive model for shape memory polymers” International Journal of Plasticity, 35, pp.13–30(2012)CrossRefGoogle Scholar
Guo., X, Liu., L, Zhou., B, Liu., Y and Leng., J, “Influence of strain rates on the mechanical behaviors of shape memory polymer,” Smart Materials and Structures, pp.1–8(2015)CrossRefGoogle Scholar
Guo., J, Liu., J, Wang., Z, He., X, Hu., L, Tong., L and Tang., X, J. “A thermodynamics viscoelastic constitutive model for shape memory polymers,” Journal of Alloys and Compounds, 705, pp.146–155(2017)CrossRefGoogle Scholar
Guo., X, Zhou., B, Liu., L, Liu., Y and Leng., J, “A Stress-induced Phase Transition Model for Semi-crystallize Shape Memory Polymer,” SPIE Smart Structures and Materials, 905817–905818(2014)CrossRefGoogle Scholar
Khonakdar., H, Jafari., S, Rasouli., S, Morshedian., J and Abedini., H, “Investigation and modeling of temperature dependence recovery behavior of shape-memory crosslinked polyethylene, Macromol,” Theory Simulations, 16 (1), pp.43–52. (2007)CrossRefGoogle Scholar
Tsukada., G, Tokuda., M and Torii., M, “Temperature triggered shape memory effect of transpolyisoprenebased polymer”, Journal of Endodontics, 40 (10) 1658–1662(2014)CrossRefGoogle ScholarPubMed
Zhang., Y Theory of thermo-viscoelasticity. Tianjin: Tianjin University Press, pp.1–15(2002)Google Scholar
Basilevsky., M, Petrochenko., S, “Motion of polymer chains in a molecular crystal”, Chemical Physics, 67 (3), pp.319–335(1982)CrossRefGoogle Scholar
Ozawa., T “Kinetics of non-isothermal crystallization”, Polymer, 12(3), pp.150–158(1971).CrossRefGoogle Scholar