A variant for determining the elastic characteristics of composites containing platelike filler particles is considered. The elastic properties of a nanocomposite based on a rigid polyurethane and organically modified montmorillonite are analyzed. Data on the influence of volume fraction of the filler and of anisometry (aspect ratio) and orientation of the montmorillonite particles on the elastic constants of the nanocomposite are reported.
Similar content being viewed by others
References
W. J. Choi, S. H. Kim, Y. J. Kim, and S. C. Kim, “Synthesis of chain-extended organifier and properties of polyurethane/ clay nanocomposites,” Polymer, 45, 6045–6057 (2004).
S.-Y. Moon, J.-K. Kim, C. Nah, and Y.-S. Lee, “Polyurethane/montmorillonite nanocomposites prepared from crystalline polyols, using 1,4-dutanediol and organoclay hybrid as chain extenders,” Europ. Polym. J., 40, 1615–1621 (2004).
A. Rehab, A. Akelah, T. Agag, and N. Shalaby, “Polyurethane-nanocomposite materials via in-situ polymerization into organoclay interlayers,” Polym. Adv. Technol., 18, 463–471 (2007).
Z. Wang and T. J. Pinnavaia, “Nanolayer reinforcement of elastomeric polyurethane,” Chem. Mater., 10, 3769–3771 (1998).
J. M. Herrera-Alonso, E. Marand, J. C. Little, and S. S. Cox, “Transport properties in polyurethane/clay nanocomposites as barrier materials: Effect of processing conditions,” J. Membrane Sci., 337, 208–214 (2009).
J.-H. Chang and Y. Uk An, “Nanocomposites of polyurethane with various organoclays: thermomechanical properties, morphology, and gas permeability,” J. Polym. Sci. Part B: Polymer Physics, 40, 670–677 (2002).
T.-K. Chen, Y.-I. Tien, and K.-H. Wei, “Synthesis and characterization of novel segmented polyurethane/clay nanocomposites,” Polymer, 41, 1345–1353 (2000).
K. J. Yao, M. Song, D. J. Hourston, and D. Z. Luo, “Polymer/layered clay nanocomposites: 2 polyurethane nanocomposites,” Polymer, 43, 1017–1020 (2002).
Y. I. Tien and K. H. Wei, “High-tensile-property layered silicates/polyurethane nanocomposites by using reactive silicates as pseudo chain extenders,” Macromolecules, 34, 9045–9052 (2001).
X. Zhang, R. Xu, Z. Wu, and Ch. Zhou, “The synthesis and characterization of polyurethane/clay nanocomposites,” Polymer Int., 52, 790–794 (2003).
Y. I. Tien and K. H. Wei, “Hydrogen bonding and mechanical properties in segmented montmorillonite/polyurethane nanocomposites of different hard segment ratios,” Polymer, 42, 3212–3221 (2001).
J. Xiong, Y. Liu, X. Yang, and X. Wang, “Thermal and mechanical properties of polyurethane/montmorillonite nanocomposites based on a novel reactive modifier,” Polym. Degrad. Stabil., 86, 549–555 (2004).
N. Salahuddin, S. A. Abo-El-Enein, A. Selim, and O. Salah El-Dien, “Synthesis and characterization of polyurethane/organo-montmorillonite nanocomposites,” Appl. Clay Sci., 47, 242–248 (2010).
R. Hill, “Elastic properties of reinforced solids; some theoretical principles,” J. Mech. Phys. Solids, 11, No. 5, 357–372 (1963).
R. Hill, “A self-consistent mechanics of composite materials,” J. Mech. Phys. Solids, 13, No. 4, 213–222 (1965).
T. Mori and K. Tanaka, “Average stress in matrix and average elastic energy of materials with misfitting inclusions,” Acta Metallurgica, 21, No. 5, 571–574 (1973).
J. D. Eshelby, “The determination of the elastic field of an ellipsoidal inclusion, and related problems,” Proc. Roy. Soc. Series A, 241, 376–396 (1957).
E. Yanke, F. Emde, and F. Lesh, Special Functions [in Russian], Nauka, Moscow (1968).
J. A. Osborn, “Demagnetizing factors of the general ellipsoid,” Phys. Rev., 67, Nos. 11/12, 351–357 (1945).
W. B. Russel and S. Acrivos, “On the effective moduli of composite materials: slender rigid inclusions at dilute concentrations,” J. Appl. Math. Phys. (ZAMP), 23, 434–464 (1972).
W. B. Russel, “On the effective moduli of composite materials: effect of fiber length and geometry at dilute concentrations,” J. Appl. Math. Phys. (ZAMP), 24, 581–600 (1973).
A. Lagzdins, R. D. Maksimov, and E. Plume, “Anisotropy of elasticity of a composite with irregularly oriented anisometric filler particles,” Mech. Compos. Mater., 45, No. 4, 345–358 (2009).
J.-J. Luo and I. M. Daniel, “Characterization and modeling of mechanical behavior of polymer/clay nanocomposites,” Compos. Sci. Technol., 63, 1607–1616 (2003).
A. Usuki, Y. Kojima, M. Kawasumi, A. Okada, Y. Fukushima, and T. Kurauchi, “Synthesis of Nylon 6-clay hybrid,” J. Mater. Res., 8, 1179–1184 (1993).
T. D. Fornes and D. R. Paul, “Modeling properties of nylon 6/clay nanocomposites using composite theories,” Polymer, 44, 4993–5013 (2003).
R. Renz, Zum zügigen and zyklischen Verformungsverhalten Polymerer Hartschaumstoffe. Disertation zur Erlangung des akad. Grades eines Doktor-Ingenieurs, Karlsruhe (1977).
Acknowledgments
This study was carried out within the framework of Project No. 2010/0290/2DP/2.1.1.1.0/10/ APIA/VIAA/0.53, with a financial support of ERAF.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Mekhanika Kompozitnykh Materialov, Vol. 48, No. 5, pp. 713–728, September-October, 2012.
Rights and permissions
About this article
Cite this article
Maksimov, R.D., Plume, E. Elastic properties of a polyurethane/montmorillonite nanocomposite. Mech Compos Mater 48, 487–498 (2012). https://doi.org/10.1007/s11029-012-9294-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-012-9294-2