Abstract
The prediction of shape-memory behavior is essential regarding the design of a smart material for different applications. This paper proposes a simple and quick method for the prediction of shape-memory behavior of amorphous shape memory polymers (SMPs) on the basis of a single dynamic mechanical analysis (DMA) temperature sweep at constant frequency. All the parameters of the constitutive equations for linear viscoelasticity are obtained by fitting the DMA curves. The change with the temperature of the time–temperature superposition shift factor (a T ) is expressed by the Williams–Landel–Ferry (WLF) model near and above the glass transition temperature (T g ), and by the Arrhenius law below T g . The constants of the WLF and Arrhenius equations can also be determined. The results of our calculations agree satisfactorily with the experimental free recovery curves from shape-memory tests.
This is a preview of subscription content, access via your institution.



References
Argyris, J., St Doltsinis, I., da Silva, V.D.: Constitutive modelling and computation of non-linear viscoelastic solids. Part I: Rheological methods and numerical integration techniques. Comput. Methods Appl. Mech. Eng. 88, 135–163 (1991)
Azra, C., Plummer, C.J.G., Månson, J.-A.E.: Isothermal recovery rates in shape memory polyurethanes. Smart Mater. Struct. 20, 082002 (2011) (10 pp.)
Azra, C., Plummer, C.J.G., Månson, J.-A.E.: Tailoring the time-dependent recovery of shape memory polymers. Proc. SPIE 8342, 834212 (2012) (9 pp.)
Azra, C., Plummer, C.J.G., Månson, J.-A.E.: Dynamic mechanical analysis for rapid assessment of the time-dependent recovery behavior of shape memory polymers. Smart Mater. Struct. 22, 075037 (2013) (10 pp.)
Barot, G., Rao, I.J., Rajagopal, K.R.: A thermodynamic framework for the modeling of crystallizable shape memory polymers. Int. J. Eng. Sci. 46, 325–351 (2008)
Behl, M., Lendlein, A.: Shape memory polymers. Mater. Today 10, 20–28 (2007)
Bhattacharyya, A., Tobushi, H.: Analysis of the isothermal mechanical response of a shape memory polymer rheological model. Polym. Eng. Sci. 40, 2498–2510 (2000)
Chen, Y.C., Lagoudas, D.C.: A constitutive theory for shape memory polymers. Part I—Large deformations. J. Mech. Phys. Solids 56, 1752–1765 (2008)
Chen, J., Liu, L., Liu, Y., Leng, J.: Thermoviscoelastic shape memory behavior for epoxy-shape memory polymer. Smart Mater. Struct. 23, 055025 (2014) (14 pp.)
Di Marzio, E.A., Yang, A.J.M.: Configurational entropy approach to the kinetics of glasses. J. Res. Natl. Inst. Stand. Technol. 102, 135–157 (1997)
Fejős, M., Romhány, G., Karger-Kocsis, J.: Shape memory characteristics of woven glass fibre fabric reinforced epoxy composite in flexture. J. Reinf. Plast. Compos. 31, 1532–1537 (2012)
Ferry, J.D.: Viscoelastic Properties of Polymers. Wiley, New York, Boston (1970)
Gall, K., Yakacki, C.M., Liu, Y., Shandas, R., Willett, N., Anseth, K.S.: Thermomechanics of the shape memory effect in polymers for biomedical applications. J. Biomed. Mater. Res., Part A 73, 339–348 (2005)
Ge, Q., Luo, X., Rodriguez, E.D., Zhang, X., Mather, P.T., Dunn M.L., Qi, H.J.: Thermomechanical behavior of shape memory elastomeric composites. J. Mech. Phys. Solids 60, 67–83 (2012)
Havriliak, S., Negami, S.: A complex plane representation of dielectric and mechanical relaxation processes in some polymers. Polymer 8, 161–210 (1967)
Lendlein, A., Kelch, S.: Shape memory polymers. Angew. Chem. Int. Ed. 41, 2035–2057 (2002)
Liu, Y.J., Du, H.Y., Liu, L.W., Leng, J.S.: Shape memory polymer composites and their applications in aerospace: a review. Smart Mater. Struct. 23, 023001 (2014) (22 pp.)
Marquardt, D.: An algorithm for least-squares estimation of nonlinear parameters. SIAM J. Appl. Math. 11, 431–441 (1963)
O’Connell, P.A., McKenna, G.B.: Arrhenius-like temperature dependence of the segmental relaxation below T g . J. Chem. Phys. 110, 11054–11060 (1999)
Ratna, D., Karger Kocsis, J.: Recent advances in shape memory polymers and composites: a review. J. Mater. Sci. 43, 254–269 (2008)
Qi, H.J., Nguyen, T.D., Castro, F., Yakacki, C.M., Shandas, R.: Finite deformation thermo-mechanical behavior of thermally induced shape memory polymers. J. Mech. Phys. Solids 56, 1730–1751 (2008)
Sun, L., Huang, W.M., Ding, Z., Zhao, Y., Wang, C.C., Purnawali, H., Tang, C.: Stimulus-responsive shape memory materials: a review. Mater. Des. 33, 577–640 (2012)
Tobushi, H., Hashimoto, T., Ito, N.: Shape fixity and shape recovery in a film of shape memory polymer of polyurethane series. J. Intell. Mater. Syst. Struct. 9, 127–136 (1998)
Westbrook, K.K., Kao, P.H., Castro, F., Ding, Y., Qi, H.J.: A 3D finite deformation constitutive model for amorphous shape memory polymers: a multi-branch modeling approach for nonequilibrium relaxation processes. Mech. Mater. 43, 853–869 (2011)
Williams, M.L., Landel, R.F., Ferry, J.D.: Temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J. Am. Chem. Soc. 77, 3701–3707 (1955)
Yu, K., Ge, Q., Qi, H.J.: Reduced time as a unified parameter determining fixity and free recovery of shape memory polymers. Nat. Commun. 5, 3066 (2014a) (9 pp.)
Yu, K., McClung, A.J.W., Tandon, G.P., Baur, J.W., Qi, H.J.: A thermomechanical constitutive model for an epoxy based shape memory polymer and its parameter identifications. Mech. Time-Depend. Mater. 18, 453–474 (2014b)
Acknowledgements
This work was financially supported by the grant TÁMOP-4.2.2.A-11/1/KONV-2012-0036 supported by the European Union and co-funded by the European Social Fund. This work was also supported by the European Union and the State of Hungary, co-financed by the European Social Fund, in the framework of TÁMOP-4.2.4.A/2-11/1-2012-0001 ‘National Excellence Program’ (S. K.).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kuki, Á., Czifrák, K., Karger-Kocsis, J. et al. An approach to predict the shape-memory behavior of amorphous polymers from Dynamic Mechanical Analysis (DMA) data. Mech Time-Depend Mater 19, 87–93 (2015). https://doi.org/10.1007/s11043-014-9253-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11043-014-9253-5
Keywords
- Shape memory polymer (SMP)
- Dynamic mechanical analysis (DMA)
- Shift factor
- Free recovery curve