A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force

L. Y. Jiang, Y. Huang, Hanqing Jiang, G. Ravichandran, H. Gao, K. C. Hwang, B. Liu

Research output: Contribution to journalArticle

237 Citations (Scopus)

Abstract

We have established the cohesive law for interfaces between a carbon nanotube (CNT) and polymer that are not well bonded and are characterized by the van der Waals force. The tensile cohesive strength and cohesive energy are given in terms of the area density of carbon nanotube and volume density of polymer, as well as the parameters in the van der Waals force. For a CNT in an infinite polymer, the shear cohesive stress vanishes, and the tensile cohesive stress depends only on the opening displacement. For a CNT in a finite polymer matrix, the tensile cohesive stress remains the same, but the shear cohesive stress depends on both opening and sliding displacements, i.e., the tension/shear coupling. The simple, analytical expressions of the cohesive law are useful to study the interaction between CNT and polymer, such as in CNT-reinforced composites. The effect of polymer surface roughness on the cohesive law is also studied.

Original languageEnglish (US)
Pages (from-to)2436-2452
Number of pages17
JournalJournal of the Mechanics and Physics of Solids
Volume54
Issue number11
DOIs
StatePublished - Nov 2006

Fingerprint

Van der Waals forces
Carbon nanotubes
carbon nanotubes
polymers
Polymers
tensile stress
Tensile stress
shear stress
Shear stress
Polymer matrix
tensile strength
sliding
surface roughness
Tensile strength
Surface roughness
shear
composite materials
Composite materials
matrices

Keywords

  • Carbon nanotube composites
  • Carbon nanotube/polymer interface
  • Cohesive law
  • van der Waals force

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force. / Jiang, L. Y.; Huang, Y.; Jiang, Hanqing; Ravichandran, G.; Gao, H.; Hwang, K. C.; Liu, B.

In: Journal of the Mechanics and Physics of Solids, Vol. 54, No. 11, 11.2006, p. 2436-2452.

Research output: Contribution to journalArticle

Jiang, L. Y. ; Huang, Y. ; Jiang, Hanqing ; Ravichandran, G. ; Gao, H. ; Hwang, K. C. ; Liu, B. / A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force. In: Journal of the Mechanics and Physics of Solids. 2006 ; Vol. 54, No. 11. pp. 2436-2452.
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