International Applied Mechanics

, Volume 41, Issue 3, pp 233–255

Developing a Compressive Failure Theory for Nanocomposites


  • A. N. Guz
    • S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of Ukraine
  • A. A. Rodger
    • University of Aberdeen
  • I. A. Guz
    • University of Aberdeen

DOI: 10.1007/s10778-005-0081-9

Cite this article as:
Guz, A.N., Rodger, A.A. & Guz, I.A. Int Appl Mech (2005) 41: 233. doi:10.1007/s10778-005-0081-9


The paper addresses a compressive-failure theory for polymer-matrix nanocomposites in the case where failure onset is due to microbuckling. Two approaches based on the three-dimensional linearized theory of stability of deformable bodies are applied to laminated and fibrous nanocomposites. According to the first approach (continuum compressive-failure theory), nanocomposites are modeled by a homogeneous anisotropic medium with effective constants, including microstructural parameters. The second approach uses the piecewise-homogeneous model, three-dimensional relations for fibers (CNT) and matrix, and continuity conditions at the fiber-matrix interface. The compressive-failure theory is used to solve specific problems for laminated and fibrous nanocomposites. Some approximate failure theories based on the one- and two-dimensional applied theories of stability of rods, plates, and shells are analyzed


nanocompositesCNT fiberpolymer matrixcompressive failuremicrobucklingthree-dimensional linearized theory of stability of deformable bodies

Copyright information

© Springer Science+Business Media, Inc. 2005