Abstract
The elastic properties of Tetra-polyethylene glycol (PEG) gel, a four-armed PEG network gel, were studied by simulating the deformation of elastic networks containing defects that are randomly introduced to the network. This network model accurately reproduced the experimental results observed for Tetra-PEG gel. In particular, the stress-extension ratio curve of the gel prepared at chain-overlap concentration was in agreement with that of a regular network without defects. As the defect density increased, the Young’s modulus decreased linearly. The fracture and spatial inhomogeneity of the networks were also investigated in the simulation.
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References
Martens, P. & Anseth, K. S. Characterization of hydrogels formed from acrylate modified poly(vinyl alcohol) macromers. Polymer 41, 7715–7722 (2000).
Lutolf, M. P. & Hubbell, J. A. Synthesis and physicochemical characterization of end-linked poly(ethylene glycol)-co-peptide hydrogels formed by michael-type addition. Biomacromolecules 4, 713–722 (2003).
Azab, A. K., Orkin, B., Doviner, V., Nissan, A., Klein, M., Srebnik, M. & Rubinstein, A. Crosslinked chitosan implants as potential degradable devices for brachytherapy: in vitro and in vivo analysis. J. Control. Release 111, 281–289 (2006).
Stein, R. S. The determination of the inhomogeneity of crosslinking of a rubber by light scattering. J. Polym. Sci. 7, 657–660 (1969).
Pines, E. & Prins, W. The effect of nonrandom crosslinking on the light scattering of swollen polymer networks. J. Polym. Sci., Polym. Phys. Polym. Lett. 10, 719–724 (1972).
Candau, S., Bastide, J. & Delsanti, M. Structural, elastic, and dynamic properties of swollen polymer networks. Adv. Polym. Sci. 44, 27–71 (1982).
Panyukov, S. & Rabin, Y. Polymer gels: frozen inhomogeneities and density fluctuations. Macromolecules 29, 7960–7975 (1996).
Bastide, J. & Candau, S. J. Structure of gels as investigated by means of static scattering techniques (Chapter 9). In The Physical Properties of Polymer Gels. Addad J.P.C, Ed. (John Wiley, New York 143, 1996).
Shibayama, M. Spatial inhomogeneity and dynamic fluctuations of polymer gels. Macromol. Chem. Phys. 199, 1–30 (1998).
Dusek, K. The role of precursor architecture in polymer network structure. Trends Polymer Sci. 5, 268–274 (1997).
Hild, G. Model networks based on ‘endlinking’ processes: synthesis, structure and properties. Prog. Polym. Sci. 23, 1019–1149 (1998).
Malkoch, M., Vestberg, R., Gupta, N., Mespouille, L., Dubois, P., Mason, A. F., Hedrick, J. L., Liao, Q., Frank, C. W., Kingsbury, K. & Hawker, C. Synthesis of well-defined hydrogel networks using Click chemistry. J. Chem. Commun. 26, 2774–2776 (2006).
Durackova, A., Valentova, H., Duskova-Smrckova, M. & Dusek, K. Effect of diluent on the gel point and mechanical properties of polyurethane networks. Polym. Bull. 58, 201–211 (2007).
Shibayama, M., Takahashi, H. & Nomura, S. Small-angle neutron scattering study on end-linked poly(tetrahydrofuran) networks. 1. Stoichiometrically cross-linked gels. Macromolecules 28, 6860–6864 (1995).
Villar, M. A. & Valles, E. M. Influence of pendant chains on mechanical properties of model poly(dimethylsiloxane) networks. 2. Viscoelastic properties. Macromolecules 29, 4081–4089 (1996).
Patel, S. K., Malone, S., Cohen, C., Gillmor, J. R. & Colby, R. H. Elastic modulus and equilibrium swelling of poly(dimethylsiloxane) networks. Macromolecules 25, 5241–5251 (1992).
Mendes, E., Girard, B., Picot, C., Buzier, M., Boue, F. & Bastide, J. Small-angle neutron scattering study of end-linked gels. Macromolecules 26, 6873–6877 (1993).
Okumura, Y. & Ito, K. The polyrotaxane gel: a topological gel by figure-of-eight cross-links. Adv. Mater. 13, 485–487 (2001).
Haraguchi, K. & Takehisa, T. Nanocomposite hydrogels: a unique organic–inorganic network structure with extraordinary mechanical, optical, and swelling/de-swelling properties. Adv. Mater. 14, 1120–1124 (2002).
Gong, J. P., Katsuyama, Y., Kurokawa, T. & Osada, Y. Double-network hydrogels with extremely high mechanical strength. Adv. Mater. 15, 1155–1158 (2003).
Sakai, T., Matsunaga, T., Yamamoto, Y., Ito, C., Yoshida, R., Suzuki, S., Sasaki, N., Shibayama, M. & Chung, U. I. Design and fabrication of a high-strength hydrogel with ideally homogeneous network structure from tetrahedron-like macromonomers. Macromolecules 41, 5379–5384 (2008).
Matsunaga, T., Sakai, T., Akagi, Y., Chung, U. & Shibayama, M. Structure characterization of Tetra-PEG gel by small-angle neutron scattering. Macromolecules 42, 1344–1351 (2009).
Matsunaga, T., Sakai, T., Akagi, Y., Chung, U. I. & Shibayama, M. SANS and SLS studies on Tetra-Arm PEG gels in as-prepared and swollen states. Macromolecules 42, 6245–6252 (2009).
Bastide, J. & Leibler, L. Large-scale heterogeneities in randomly cross-linked networks. Macromolecules 21, 2647–2649 (1988).
Mendes, E., Oeser, R., Hayes, C., Boue, F. & Bastide, J. Small-angle neutron scattering study of swollen elongated gels: butterfly patterns. Macromolecules 29, 5574–5584 (1996).
Shibayama, M., Shirotani, Y. & Shiwa, Y. Static inhomogeneities and dynamics of swollen and reactor-batch polymer gels. J. Chem. Phys. 112, 442–449 (2000).
Farago, O. & Kantor, Y. Entropic elasticity of two-dimensional self-avoiding percolation systems. Phys. Rev. Lett. 85, 2533–2536 (2000).
Stauffer, D. & Aharony, A. Introduction to Percolation Theory. Taylor & Francis, 2nd ed., p. 17 (1994).
Marko, J. F. & Siggia, E. D. Stretching DNA. Macromolecules 28, 8759–8770 (1995).
Bustamante, C. Entropic elasticity of lambda-phage DNA. Science 265, 1599–1600 (1994).
Sakai, Y., Ikehara, T., Nishi, T., Nakajima, K. & Hara, M. Nanorheology measurement on a single polymer chain. Appl. Phys. Lett. 81, 724–726 (2002).
Acknowledgements
This work has been financially supported by Grant-in-Aids for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (no. 22245018 to MS).
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Sugimura, A., Asai, M., Matsunaga, T. et al. Mechanical properties of a polymer network of Tetra-PEG gel. Polym J 45, 300–306 (2013). https://doi.org/10.1038/pj.2012.149
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DOI: https://doi.org/10.1038/pj.2012.149
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