A variant of stepwise calculations of the elastic constants of a composite containing platelike multilayer filler particles is presented. First, the effective characteristics of unexfoliated particles in the form of multilayer stacks with interlaminar galleries enlarged as a result of intercalation of polymer are determined. Then, the independent elastic constants of the transversely isotropic representative structural elements of a composite in which multilayer particles are located strictly coplanarly, i.e., parallel to each other, are calculated. Finally, the elastic constants of a composite with randomly oriented particles are obtained by using the method of orientational averaging. Data on the influence of the number of monolayers in the unexfoliated silicate filler particles on their reinforcing efficiency are reported and discussed.
Similar content being viewed by others
References
M. Alexandre and Ph. Dubois, “Polymer-layered silicate nanocomposites: preparation, properties and uses of a new class of materials,” Mater. Sci. Eng., 28, 1-63 (2000).
X. Liu and Q. Wu, “PP/clay nanocomposites prepared by grafting-melt intercalation,” Polymer, 42, 10013-10019 (2011).
J.-H. Chang and Y. Ukan, “Nanocomposites of polyurethane with various organoclays: thermomechanical properties, morphology, and gas permeability,” J. Polym. Sci. Pt B: Polymer Physics, 40, 670-677 (2002).
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).
R. D. Maksimov, S. Gaidukovs, M. Kalnins, J. Zicans, and E. Plume, “A nanocomposite based on a styrene-acrylate copolymer and native montmorillonite clay. 2. Modeling the elastic properties,” Mech. Compos. Mater., 42, No. 2, 163-172 (2006).
S. Gaidukov, R. D. Maksimov, U. Cabulis, E. Plume, and A. Stunda-Zujeva, “Mechanical properties of a rigid polyurethane/ montmorillonite composite prepared by using a biopolyol,” Mech. Compos. Mater., 49, No. 4, 333-344 (2013).
R. Merijs Meri, J. Zicans, R. Maksimov, T. Ivanova, M. Kalnins, R. Berzina, and G. Japins, “Elasticity and long-term behavior of recycled polyethylene terephthalate (rPET)/montmorillonite (MMT) composites,” Compos. Struct., 111, 453-458 (2014).
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).
D. Maksimov and E. Plume, “Elastic properties of a polyurethane/montmorillonite nanocomposite,” Mech. Compos. Mater., 48, No. 5, 487-498 (2012).
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).
A. Usuki, Y. Kojima, M. Kawasumi, A. Okada, Y. Fukushima, and T. Kurauchi, “Synthesis of Nylon6-clay hybrid,” J. Mater. Res., 8, 1179-1184 (1993).
J.-J. Luo and I. M. Daniel, “Characterization and modeling of mechanical behavior of polymer/clay nanocomposites,” Compos. Sci. Technol., 63, 1607-1616 (2003).
T. D. Fornes and D. R. Paul, “Modeling the properties of nylon6/clay nanocomposites using composite theories,” Polymer, 44, 4993-5013 (2003).
R. Renz, Zum zügigen and zyklischen Verformungsverhalten Polymerer Hartschaumstoffe. Dis. zur Erlangung des akad. Grades eines Doktor-Ingenieurs, Karlsruhe (1977).
U. Cabulis, M. Kirpluks, and J. Andersons, “The effect of montmorillonite type nanoparticles on stiffness and flammability of rapeseed oil based polyisocyanurate foams,” Key Eng. Mater., 559, 19-24 (2013).
Acknowledgments
This study was financially supported by ERDAF within the framework of Project No. 2010/0290/ 2DP/2.1.1.1.0/10/APIA/VIAA/053 and by the Ministry of Education and Sciences of Latvia according to Project No. 3 of State Research Program No. 2.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Mekhanika Kompozitnykh Materialov, Vol. 50, No. 5, pp. 855-868 , September-October, 2014.
Rights and permissions
About this article
Cite this article
Maksimov, R.D., Plume, E. Elastic Properties of a Polymer/Silicate Composite with Platelike Multilayer Filler Particles. Mech Compos Mater 50, 613–622 (2014). https://doi.org/10.1007/s11029-014-9449-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-014-9449-4