An approach to determining the effective characteristics of nanocomposites with well-known methods of micromechanics is proposed. The irregular distribution of discrete bonds between a nanofiber and the polymeric matrix over the fiber circumference is taken into account. The area with a great number of bonds is modeled by a continuum and the area with a small number of bonds is modeled by a discontinuity. The dependence of the mechanical characteristics of nanocomposites on the volume fraction of the reinforcement and the size of the imperfect-bonding zone is studied. The performance of such materials in structures is demonstrated by stability design of cylindrical shells
Similar content being viewed by others
References
G. A. Vanin, Micromechanics of Composite Materials [in Russian], Naukova Dumka, Kyiv (1985).
G. A. Vanin and N. P. Semenyuk, Stability of Shells Made of Composites with Imperfections [in Russian], Naukova Dumka, Kyiv (1987).
A. N. Guz and J. J. Rushchitsky, “Nanomaterials: On the mechanics of nanomaterials,” Int. Appl. Mech., 39, No. 11, 1271–1293 (2003).
A. N. Guz, J. J. Rushchitsky, and I. A. Guz, “Establishing fundamentals of the mechanics of nanocomposites,” Int. Appl. Mech., 43, No. 3, 247–271 (2007).
R. M. Christensen, Mechanics of Composite Materials, Wiley, New York (1979).
A. N. Guz, Mechanics of Composite Materials [in Russian], in 12 vols., Naukova Dumka (Vols. 1–4), A.S.K. (Vols. 5–12), Kyiv (1993–2003).
V. A. Buryachenko, A. Roy, K. Lafdi, K. L. Anderson, and S. Chellapilla, “Multi-scale mechanics of nanocomposites including interface: Experimental and numerical investigation,” Compos. Sci. Technol., 65, 2435–2465 (2005).
K. T. Lau, G. Chong, and D. Hui, “A critical review on nanotube and nanotube/nanoclay related polymer composite materials,” Composites, Part B, 37, 425–436 (2006).
K. T. Lau and D. Hui, “The revolutionary creation of new advanced materials: Carbon nanotube composites,” Composites, Part B, 33, 263–277 (2002).
G. V. Odegard, T. S. Gates, L. M. Nicholson, and K. E. Wise, “Equivalent-continuum modeling of nanostructured materials,” Compos. Sci. Technol., 62, 1869–1880 (2002).
G. V. Odegard, T. S. Gates, K. E. Wise, C. Park, and E. J. Sionchi, “Constitutive modeling of nanotube-reinforced polymer composites,” Compos. Sci. Technol., 63, 1671–1687 (2003).
D. Saivastava, Ch. Wei, and K. Chao, “Nanomechanics of carbon nanofibres and composites,” Appl. Mech. Rev., 56, 215–229 (2003).
N. P. Semenyuk and V. M. Trach, “Stability of axially compressed cylindrical shells made of reinforced materials with specific fiber orientation within each layer,” Int. Appl. Mech., 42, No. 3, 318–324 (2007).
N. P. Semenyuk and V. M. Trach, “Stability and initial postbuckling behavior of anisotropic cylindrical shells under external pressure,” Int. Appl. Mech., 43, No. 3, 314–328 (2007).
N. P. Semenyuk, V. M. Trach, and N. B. Zhukova, “Stability and initial postbuckling behavior of anisotropic cylindrical shells subject to torsion,” Int. Appl. Mech., 44, No. 1, 1101–1111 (2008).
N. P. Semenyuk, V. M. Trach, and V. V. Ostapchuk, “Nonlinear axisymmetric deformation of anisotropic spherical shells,” Int. Appl. Mech., 45, No. 10, 1101–1111 (2009).
E. T. Thostenson, Chunya Li, and T. W. Chou, “Nanocomposites in context (review),” Compos. Sci. Technol., 65, 491–516 (2005).
S. C. Tjong, “Structural and mechanical properties of polymer nanocomposites,” Mater. Sci. Eng., 53, 73–197 (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 46, No. 12, pp. 47–57, December 2010.
Rights and permissions
About this article
Cite this article
Semenyuk, N.P., Babich, I.Y. & Zhukova, N.B. Influence of imperfect bonding of the components on the mechanical properties and stability of cylindrical nanocomposite shells. Int Appl Mech 46, 1377–1385 (2011). https://doi.org/10.1007/s10778-011-0431-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-011-0431-8