International Applied Mechanics

, Volume 42, Issue 1, pp 19–31

Three-dimensional theory of stability of a carbon nanotube in a matrix

  • A. N. Guz

DOI: 10.1007/s10778-006-0055-6

Cite this article as:
Guz, A.N. Int Appl Mech (2006) 42: 19. doi:10.1007/s10778-006-0055-6


The three-dimensional theory of stability of a carbon nanotube (CNT) in a polymer matrix is presented. The results are obtained on the basis of the three-dimensional linearized theory of stability of deformable bodies. Flexural and helical (torsional) buckling modes are considered. It is proved that the helical (torsional) buckling modes occur in a single CNT (the interaction of neighboring CNTs is neglected) and do not occur in nanocomposites (the interaction of neighboring CNTs is taken into account)


nanocomposites CNT polymer matrix compression stability three-dimensional theory 

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. N. Guz
    • 1
  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKiev

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