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

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

doi:10.1016/j.jmps.2006.04.009

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

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

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

336 Scopus citations

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 language	English (US)
Pages (from-to)	2436-2452
Number of pages	17
Journal	Journal of the Mechanics and Physics of Solids
Volume	54
Issue number	11
DOIs	https://doi.org/10.1016/j.jmps.2006.04.009
State	Published - Nov 2006

Funding

LYJ was supported by a Postdoctoral Fellowship from the Natural Sciences and Engineering Research Council of Canada (NSERC) and by Canadian Space Agency. This research was also supported by ONR Composites for Marine Structures Program (grant N00014-01-1-0205, Program Manager Dr. Y. D. S. Rajapakse), NSF and NSFC.

Keywords

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

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/j.jmps.2006.04.009

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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.",

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author = "Jiang, {L. Y.} and Y. Huang and H. Jiang and G. Ravichandran and H. Gao and Hwang, {K. C.} and B. Liu",

note = "Funding Information: LYJ was supported by a Postdoctoral Fellowship from the Natural Sciences and Engineering Research Council of Canada (NSERC) and by Canadian Space Agency. This research was also supported by ONR Composites for Marine Structures Program (grant N00014-01-1-0205, Program Manager Dr. Y. D. S. Rajapakse), NSF and NSFC. ",

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AU - Ravichandran, G.

AU - Gao, H.

AU - Hwang, K. C.

AU - Liu, B.

N1 - Funding Information: LYJ was supported by a Postdoctoral Fellowship from the Natural Sciences and Engineering Research Council of Canada (NSERC) and by Canadian Space Agency. This research was also supported by ONR Composites for Marine Structures Program (grant N00014-01-1-0205, Program Manager Dr. Y. D. S. Rajapakse), NSF and NSFC.

PY - 2006/11

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N2 - 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.

AB - 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.

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KW - Carbon nanotube/polymer interface

KW - Cohesive law

KW - van der Waals force

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

Abstract

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Keywords

ASJC Scopus subject areas

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