Abstract
Models in the theory of stability of multiwalled carbon nanotubes in a polymer matrix are justified. Some results on the fracture mechanics of nanocomposites are presented. New areas of research in mechanics suggested by a group of well-known scientists are discussed
Similar content being viewed by others
References
M. Born and K. Huang, Dynamic Theory of Crystal Lattices, Oxford University Press, London (1954).
A. N. Guz, Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka, Kiev (1971).
A. N. Guz, Stability of Elastic Bodies under Finite Strains [in Russian], Naukova Dumka, Kiev (1973).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies [in Russian], Vyshcha Shkola, Kiev (1986).
A. N. Guz, Mechanics of Compressive Failure of Composite Materials [in Russian], Naukova Dumka, Kiev (1990).
A. N. Guz, Description and study of some nonclassical problems of fracture mechanics and related mechanisms,” Int. Appl. Mech., 36, No. 12, 1537–1564 (2000).
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 (ed.), Mechanics of Composite Materials [in Russian], in 12 vols., Naukova Dumka (Vols. 1–4), A.S.K. (Vols. 5–12), Kiev (1993–2003).
C. Bower, W. Zhu, S. N. Jin, and O. Zhou, “Plasma-induced alignment of carbon nanotubes,” Appl. Phys. Lett., 77, 830–832 (2000).
B. Budiansky, “Micromechanics,” Composites and Structures, 16, No. 1, 3–13 (1983).
B. Budiansky and N. A. Fleek, “Compressive kinking of fibre composites: a topical review,” Appl. Mech. Rev., 47, No. 6, Part 2, 246–250 (1994).
B. Budiansky, N. A. Fleek, and I. C. Amazigo, “On kink-band propagation in fiber composites,” J. Mech. Phys. Solids, 46, 1637–1653 (1998).
T. W. Chou, R. L. McCullough, and R. B. Pipes, “Composites,” Sci. Am., 254, 193–203 (1985–1986).
N. A. Fleek, “Compressive failure of fiber composites,” in: Advances in Applied Mechanics, 33, Academic Press, New York (1997), pp. 43–119.
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin-Heidelberg-New York (1999).
A. N. Guz, “Three-dimensional theory of stability of carbon nanotube in matrix,” Int. Appl. Mech., 42, No. 1, 19–31 (2006).
A. N. Guz, V. A. Dekret, and Yu. V. Kokhanenko, “Two-dimensional stability problem for two interacting short fibers in a composite: In-line arrangement,” Int. Appl. Mech., 40, No. 9, 994–1001 (2004).
A. N. Guz, A. A. Rodger, and I. A. Guz, “Developing a compressive failure theory for nanocomposites,” Int. Appl. Mech., 41, No. 3, 233–255 (2005).
I. A. Guz and J. J. Rushchitsky, “Comparing the evolution characteristics of waves in nonlinearly elastic micro-and nanocomposites with carbon fillers,” Int. Appl. Mech., 40, No. 7, 785–793 (2004).
I. A. Guz and J. J. Rushchitsky, “Theoretical description of a delamination mechanism in fibrous micro-and nanocomposites,” Int. Appl. Mech., 40, No. 10, 1129–1136 (2004).
Ch. Jochum and J.-C. Grandidier, “Microbuckling elastic modeling approach of a single carbon fibre embedded in an epoxy matrix,” Composites Science and Technology, 64, 2441–2449 (2004).
M. E. Kassner, Sia Nemat-Nasser, Shigang Suo, et al., “New directions in mechanics,” Mech. Mater., 37, 231–259 (2005).
Kin-Tak Lau and D. Hui, “The revolutionary creation of new advanced materials—carbon nanotube composite,” Composites, Part B: Engineering, 33, 263–277 (2002).
O. Lourie, D. M. Cox, and H. D. Wagner, “Buckling and collapse of embedded carbon nanotubes,” Phys. Rev. Lett., 81, No. 8, 1638–1641 (1998).
“Micromechanics of composite materials: focus on Ukrainian research,” Appl. Mech. Rev. (special issue), 45, No. 2, 13–101 (1992).
G. M. Olegard, R. B. Pipes, and P. Hubert, “Comparison of two models of SWCN polymer composites,” Composites Science and Technology, 64, No. 7, 1011–1020 (2004).
H. R. Shetty and T. W. Chou, “Mechanical properties and failure characteristics of FP-aluminum and W-aluminum composites,” Metall. Trans. A, 16, No. 5, 853–864 (1985).
N. H. Tai, M. K. Yeh, and J. H. Liu, “Enhancement of the mechanical properties of carbon nanotube composites using a carbon nanotube network as the reinforcement,” Carbon, 42, Nos. 12–13, 2774–2777 (2004).
E. T. Thostenson and T. W. Chou, “On the elastic properties of carbon nanotube-based composites: modeling and characterization,” J. Phys. D, 36, No. 5, 573–582 (2003).
E. T. Thostenson and T. W. Chou, “Nanotube buckling in aligned multi-wall carbon nanotube composites,” Carbon, 42, No. 14, 3015–3018 (2004).
E. T. Thostenson, Li Chunyu, and T. W. Chou, “Nanocomposites in context. (Review),” Composites Science and Technology, 65, 491–516 (2005).
M. A. Wadee, G. W. Hunt, and M. A. Peletier, “Kink band instability in layered structures,” J. Mech. Phys. Solids, 52, 1071–1091 (2004).
Y. Iwahori, S. Ishiwata, T. Sumizawa, and T. Ishikawa, “Mechanical properties improvements in two-phase and three-phase composites using carbon nano-fiber dispersed resin,” Composites Part A: Appl. Sci. Manufact., 36, 1430–1439 (2005).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 6, pp. 3–21, June 2006.
Rights and permissions
About this article
Cite this article
Guz, A.N., Guz, I.A. On models in the theory of stability of multiwalled carbon nanotubes in matrix. Int Appl Mech 42, 617–628 (2006). https://doi.org/10.1007/s10778-006-0129-5
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-006-0129-5