Computational mechanics modelling of nanoparticle-reinforced composite materials across the length scales

Sergey A. Lurie*, David Hui, Maksim V. Kireitseu, Vladimir I. Zubov, Geoffrey Tomlinson, Liya Bochkareva, Richard Williams

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Currently, research work modelling of interface phenomena of nanoparticle-reinforced composite materials, notably Carbon Nanotubes (CNT)-epoxy composites are investigated across the length scales. This paper describes the kinematics of nanoparticle-reinforced composite materials as a continuum media, the formulation of governing equations (fundamentals) and the statement of boundary conditions for multi-scale modelling of the material. The identification problem for the non-classical parameters of the model has been solved by experimental results and a method of conjugated gradients. The model has been validated to predict some basic mechanical properties of a polymeric matrix reinforced with nanoscale particles/fibres/tubes (including CNT) as a function of size and also dispersion of nanoparticles. The outcome of this paper is expected to have wide-ranging technical benefits with direct relevance to industry in the areas of transportation (aerospace, automotive, rail, maritime) and civil infrastructure development.

Original languageEnglish
Pages (from-to)228-241
Number of pages14
JournalInternational Journal of Computational Science and Engineering
Issue number3-4
Publication statusPublished - 2006


  • Conjugated gradients method
  • Disperse composite
  • Effective properties
  • Identification problem
  • Interphase layer
  • Multiscale modelling

ASJC Scopus subject areas

  • Computational Mathematics
  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Hardware and Architecture
  • Software


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