Journal of Materials Science

, Volume 41, Issue 20, pp 6693–6707 | Cite as

Interphase layer theory and application in the mechanics of composite materials

  • S. LurieEmail author
  • P. Belov
  • D. Volkov-Bogorodsky
  • N. Tuchkova


In the present research work the interphase layer model is developed as a continuum media with local cohesion and adhesion effects. By the model it was found that these effects can help to understand/predict macro/micro mechanics of the material, if the boundary conditions and phase effects are modeled across the length scales. This paper describes the kinematics of continuum media, the formulation of governing equations (fundamentals) and the statement of boundary conditions for multi-scale modeling of the material. An approach and the model has been validated to predict some basic mechanical properties of a polymeric matrix reinforced with nanoscale particles/fibres/tubes (including carbon nanotubes) as a function of size and also dispersion of nanoparticles. Presented mathematical model of an interphase layer allows estimating an interaction around and nearby interfaces of nanoparticle and material matrix. Using these approaches the prediction methodology and modeling tools have been developed by numerical simulations and analysis of the mechanical properties across the length scales. Results of the work will provide a platform for the development and understanding of nanoparticle-reinforced materials that are light-weight, vibration and shock resistant.


Effective Modulus Gradient Model Circular Inclusion Interphase Layer Virtual Action 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The work was supported by the European Office of Aerospace Research and Development, for the financial support of this work (Int. Grant N 2154p) and the Russian Foundation for Basic Research Grant N 06- 01- 00051. The authors would like to thank Dr. Gregory A Schoeppner, PhD, and Dr. Yarve Endel PhD from Air Force Research Laboratory AFRL for interest and assistance of the present research.


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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • S. Lurie
    • 1
    • 2
    Email author
  • P. Belov
    • 2
  • D. Volkov-Bogorodsky
    • 2
  • N. Tuchkova
    • 1
  1. 1.Dorodnicyn Computer Centre of the Russian Academy of SciencesMoscow GSP-1Russia
  2. 2.Institute of Applied Mechanics Russian Academy of SciensesMoscowRussia

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