On modeling and analysis of effective properties of Carbon Nanotubes Reinforced Materials

Lidiia Nazarenko, Henryk Stolarski, Holm Altenbach

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Two new aspects related to analysis of Carbon Nanotubes Reinforced Materials (CNTRM) are emphasized in this work. First, a modeling methodology allowing for presence of interphases is proposed. Second, the physically expected dominance of the axial stiffness of Carbon nanotubes (CNT) on the effective properties of CNTRM is demonstrated by purposefully selected numerical experiments. In the proposed model the Gutrin-Murdoch theory is applied to a hollow cylinder of finite thickness and combined with the notion of energy equivalence to replace CNT with an equivalent solid cylinder. The interphase – modeled as a spring layer – is subsequently added to obtain another equivalent solid cylinder. Effective properties of CNRTM are evaluated using the Method of Conditional Moments.

Original languageEnglish (US)
Pages (from-to)718-727
Number of pages10
JournalComposite Structures
StatePublished - Apr 1 2018

Bibliographical note

Funding Information:
LN and HS gratefully acknowledge the financial support by the German Research Foundation (DFG) via Projects NA1203/1-1 and NA1203/1-2.

Publisher Copyright:
© 2018 Elsevier Ltd


  • A. Nano-structures
  • B. Interface/interphase
  • C. Micro-mechanics
  • C. Statistical properties/methods
  • Carbon nanotubes
  • Gurtin-Murdoch surface model


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