A comparison of the mechanical responses of (bio)polymer networks and shape-memory alloys to cyclic loading reveals strong phenomenological similarities resulting from strain-induced structural changes.
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References
Mullins, L. Rubber Chem. Technol. 21, 281–300 (1948).
Mullins, L. Rubber Chem. Technol. 42, 339–362 (1969).
Diani, J., Fayolle, B. & Gilormini, P. Eur. Polym. J. 45, 601–612 (2009).
Ogden, R. W. & Roxburgh, D. G. Proc. R. Soc. Lond. A 45, 2861–2878 (1999).
Dorfmann, A. & Ogden, R. W. Int. J. Solids Struct. 40, 2699–2714 (2003).
Dorfmann, A. & Ogden, R. W. Int. J. Solids Struct. 41, 1855–1878 (2004).
Govindjee, S. & Simo, J. J. Mech. Phys. Solids 39, 87–112 (1991).
Marckmann, G. et al. J. Mech. Phys. Solids 50, 2011–2028 (2002).
Webber, R. E., Creton, C., Brown, H. R. & Gong, J. P. Macromolecules 40, 2919–2927 (2007).
Sun, J-Y. et al. Nature 489, 133–136 (2012).
Nakajima, T., Kurokawa, T., Ahmed, S., Wu, W-I. & Gong, J. P. Soft Matter 9, 1955–1966 (2013).
Schmoller, K. M., Fernández, P., Arevalo, R. C., Blair, D. L. & Bausch, A. R. Nature Commun. 1, 134 (2010).
Puértolas, J. A. et al. J. Mater. Sci. Mater. Med. 23, 229–238 (2012).
Wagenseil, J. E., Wakatsuki, T., Okamoto, R. J., Zahalak, G. I. & Elson, E. L. J. Biomech. Eng. 125, 719–725 (2003).
Munoz, M. J. et al. J. Biomech. 41, 93–99 (2008).
Peña, E., Peña, J. A. & Doblaré, M. Int. J. Solids Struct. 46, 1727–1735 (2009).
Weisbecker, H., Pierce, P., Regitnig, D. M. & Holzapfel, G. A. J. Mech. Behav. Biomed. 12, 93–106 (2012).
Rubod, C. et al. Int. Urogynecol. J. 19, 811–816 (2008).
Peña, E. et al. J. Mech. Behav. Biomed. 4, 275–283 (2011).
Bellucci, G. & Seedhom, B. B. Rheumatology 40, 1337–1345 (2001).
Fernández, P., Heymann, L., Ott, A., Aksel, N. & Pullarkat, P. A. New J. Phys. 9, 419 (2007).
Franceschini, G., Bigoni, D., Regitnig, P. & Holzapfel, G. A. J. Mech. Phys. Solids 54, 2592–2620 (2006).
Miehe, C. Eur. J. Mech. A 14, 697–720 (1995).
Wang, X. & Hong, W. Soft Matter 7, 8576–8581 (2011).
Wolff, L., Fernandez, P. & Kroy, K. New J. Phys. 12, 053024 (2010).
Schmoller, K. M., Lieleg, O. & Bausch, A. R. Soft Matter 4, 2365–2367 (2008).
Falzone, T. T., Lenz, M., Kovar, D. R. & Gardel, M. L. Nature Commun. 3, 861 (2012).
Huo, Y. & Müller, I. Continuum Mech. Thermodyn. 5, 163–204 (1993).
Kumar, P. K. & Lagoudas, D. C. Shape Memory Alloys Vol. 1 (ed. Lagoudas, D. C) 1–51 (Springer, 2008).
Miyazaki, S., Imai, T., Igo, Y. & Otsuka, K. Metall. Trans. A 17A, 115–150 (1986).
Lim, T. J. & McDowell, D. L. J. Intel. Mater. Syst. Str. 6, 817–830 (1995).
Tahara, M., Kim, H. Y., Hosoda, H. & Miyazaki, S. Acta Mater. 57, 2461–2469 (2009).
Ma, J., Karaman, I. & Chumlyakov, Y. I. Scripta Mater. 63, 265–268 (2010).
Acknowledgements
We thank E. F. Wassermann and M. J. Unterberger for helpful discussions. Financial support from the Deutsche Forschungsgemeinschaft in the framework of the SFB 863, and the German Excellence Initiative via the program Nanosystems Initiative Munich (NIM) is gratefully acknowledged. K.M.S. thanks Jan Skotheim for hospitality, and acknowledges financial support from CompInt in the framework of the ENB Bayern and the International Graduate School of Science and Engineering at the Technische Universität München.
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Schmoller, K., Bausch, A. Similar nonlinear mechanical responses in hard and soft materials. Nature Mater 12, 278–281 (2013). https://doi.org/10.1038/nmat3603
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DOI: https://doi.org/10.1038/nmat3603
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