The effect of the aspect ratio of carbon nanotubes on their effective reinforcement modulus in an epoxy matrix

Composites Science and Technology

Volumn 71, Issue 8, 2011, Pages 1117-1123

  Martone, A ^a   Faiella, G ^a   Antonucci, V ^a   Giordano, M ^a   Zarrelli, M ^a  

^a CNR   (Italy)

Author keywords

A. Carbon nanotubes; A. Nanocomposites; B. Mechanical properties; C. Elastic properties; C. Modeling

Indexed keywords

A. CARBON NANOTUBES; A. NANOCOMPOSITES; B. MECHANICAL PROPERTIES; C. ELASTIC PROPERTIES; C. MODELING;

CARBON NANOTUBES; FILLERS; MECHANICAL PROPERTIES; NANOCOMPOSITES; REINFORCEMENT;

ASPECT RATIO;

EID: 79956114506     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2011.04.002     Document Type: Article

References (49)

1. Gong X.Y., Baskaran S., Voise R.D., Young J.S. Surfactant-assisted processing of carbon nanotube/polymer composites. Chem Mater 2000, 2:1049-1052.
2. Qian D., Dickey E.C. Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Appl Phys Lett 2000, 76:2868-2870.
3. Bai J.B. Evidence of the reinforcement role of chemical vapour deposition multi-walled carbon nanotubes in a polymer matrix. Carbon 2003, 41:1325-1328.
4. Cadek M., Coleman J.N., Ryan K.P., Nicolosi V., Bister G., Fonseca A. Reinforcement of polymers with carbon nanotubes: the role of nanotube surface area. Nano Lett 2003, 4(2):353-356.
5. Cooper C.A., Young R.J., Halsall M. Investigation into the deformation of carbon nanotubes and their composites through the use of Raman spectroscopy. Compos Part A: Appl Sci Manuf 2001, 32:93-102.
6. Ajayan P.M., Schadler L.S., Braun P.V. Nanocomposite science and technology 2003, Wiley-VCH Verlag.
7. Thostenson E.T., Li C.Y., Chou T.W. Nanocomposites in context. Compos Sci Technol 2005, 65:491-516.
8. Moniruzzaman M., Winey K.I. Polymer nanocomposites containing carbon nanotubes. Macromolecules 2006, 39(16):5194-5205.
9. Zhou Y., Pervin F., Lewis L., Jeelani S. Fabrication and characterization of carbon/epoxy composites mixed with multi-walled carbon nanotubes. Mater Sci Eng A 2008, 475:157-165.
10. Martone A., Formicola C., Giordano M., Zarrelli M. Reinforcement efficiency of multi-walled carbon nanotube/epoxy nano composites. Compos Sci Technol 2010, 70:1154-1160.
11. Lachman N., Wagner H.D. Correlation between interfacial molecular structure and mechanics in CNT/epoxy nano-composites. Composites: Part A 2010, 41:1093-1109.
12. Sui X.-M., Wagner H.D. Tough nanocomposites: the role of carbon nanotube type. Nano Lett 2009, 9(4):1423-1426.
13. Treacy M.M.J., Ebbesen T.W., Gibson J.M. Exceptionally high Young's modulus observed for individual carbon nanotubes. Nature 1996, 381:678-680.
14. Hussain F., Hojjati M., Okamoto M., Gorga R.E. Review article: polymer-matrix nanocomposites, processing, manufacturing, and application: an overview. J Compos Mater 2006, 40:1511-1575.
15. Coleman J.N., Khan U., Blau W.J., Gun'ko Y.K. Small but strong: a review of the mechanical properties of carbon nanotube-polymer composites. Carbon 2006, 44:1624-1652.
16. Thostenson E.T., Li C., Chou T.W. Nanocomposites in context. Compos Sci Technol 2005, 65:491-516.
17. Bauhofer W., Kovacs J.Z. A review and analysis of electrical percolation in carbon nanotube polymer composites. Compos Sci Technol 2009, 69:1489-1498.
18. Faiella G., Piscitelli F., Lavorgna M., Antonucci V., Giordano M. Tuning the insulator to conductor transition in a multiwalled carbon nanotubes/epoxy composite at substatistical percolation threshold. Appl Phys Lett 2009, 95:153106-153113.
19. Stauffer G. Introduction to percolation theory 1985, Taylor & Francis, London.
20. Vigolo B., Coulon C., Maugey M., Zakri C., Poulin P. An experimental approach to the percolation of sticky nanotubes science 2005, 309(5736):920-923.
21. Valvala P.K. Odegard GM modelling techniques for determination of mechanical properties of polymer composites. Rev Adv Mater Sci 2005, 9:34-44.
22. Celzard A., Deleuze C., Dufort M., Furdin G., Marêché J.F., McRae E. On the critical concentration in percolating systems containing a high aspect ratio filler. Phys Rev B 1996, 53:6209-6214.
23. Shokrieh M.M., Rafiee R. A review of the mechanical properties of isolated carbon nanotubes and carbon nanotube composites. Mech Compos Mater 2010, 46:155-172.
24. Tucker C.L., Liang E. Stiffness predictions for unidirectional short-fiber composites: review and evaluation. Compos Sci Technol 1999, 59:655-671.
25. Cox H.L. The elasticity and strength of paper and other fibrous materials. Br J Appl Phys 1952, 3:72-79.
26. Carman G.P., Reifsnider K.L. Micromechanics of short-fibre composites. Compos Sci Technol 1992, 43:137-146.
27. Odegard G.M., Gates T.S., Wise K.E., Park C., Siochi E.J. Constitutive modeling of nanotube-reinforced polymer composites. Compos Sci Technol 2003, 63:1671-1681.
28. Thostenson E.T., Chou T.W. On the elastic properties of carbon nanotube-based composites: modeling and characterization. J Phys D: Appl Phys 2003, 36:573-582.
29. Deng H., Bilotti E., Zhang R., Peijs T. Effective reinforcement of carbon nanotubes in polypropylene matrices. J Appl Polym Sci 2010, 119:30-41.
30. Shokrieh M.M., Rafiee R. Investigation of nanotube length effect on the reinforcement efficiency in carbon nanotube based composites. Compos Struct 2010, 92:2415-2420.
31. Yeh M.K., Tai N.H., Liu J.H. Mechanical behaviour of phenolic-based composite materials. Carbon 2006, 44:1-9.
32. Omidi M., Hossein Rokni D.T., Milanib A.S., Seethalerb R.J., Arastehc R. Prediction of the mechanical characteristics of multi-walled carbon nanotube/epoxy composites using a new form of the rule of mixtures. Carbon 2010, 48:3218-3228.
33. Philipse A.P. The random contact equation and its implications for (Colloidal) rods in packings, suspensions and anisotropic powders. Langmuir 1996, 12:1127-1133.
34. Fisher F.T., Bradshaw R.D., Brinson L.C. Effects of nanotube waviness on the modulus of nanotube-reinforced polymers. Appl Phys Lett 2002, 80:4647-4649.
35. Li C., Thostenson E.T., Chou T.W. Effect of nanotube waviness on the electrical conductivity of carbon nanotube-based composites. Compos Sci Technol 2008, 68:1445-1452.
36. Lourie O., Wagner H.D. Evaluation of Young's modulus of carbon nanotubes by micro-Raman spectroscopy. J Mater Res 1998, 13:2418-5422.
37. Onsager L. The effects of shape on the interaction of colloidal particles. Ann New York Acad Sci 1949, 51:627-659.
38. Ma H.M., Gao X.-L. A three-dimensional Monte Carlo model for electrically conductive polymer matrix composites filled with curved fibers. Polymer 2008, 49:4230-4238.
39. Yi1 Y.B., Berhan1 L., Sastry A.M. Statistical geometry of random fibrous networks, revisited: waviness, dimensionality, and percolation. J Appl Phys 2004, 96:1318-1327.
40. Berhan1 L., Sastry A.M. Modeling percolation in high-aspect-ratio fiber systems. II. The effect of waviness on the percolation onset. Phys Rev E 2007, 75:41121-41127.
41. Dalmas F., Dendievel R., Chazeau L., Cavaille J.Y., Gauthier C. Carbon nanotube-filled polymer composites. Numerical simulation of lectrical conductivity in three-dimensional entangled fibrous networks. Acta Mater 2006, 54:2923-2931.
42. Li C., Chou T.-W. Continuum percolation of nanocomposites with fillers of arbitrary shapes. Appl Phys Lett 2007, 90:174108-174110.
43. Wagner N., Balberg I., Klein D. Monte Carlo results for continuum percolation in low and high dimensions. Phys Rev E 2006, 74:11127-11136.
44. Ma H.M., Gao X.-L., Benson T.T. Monte Carlo modeling of the fiber curliness effect on percolation of conductive composites. Appl Phys Lett 2010, 96:61910-61911.
45. Kanagaraj S., Varanda F.R., Zhiltsova T.V., Oliveira M.S.A., Simoes J.A.O. Mechanical properties of high density polyethylene/carbon nanotube composites. Compos Sci Technol 2007, 67:3071-3077.
46. Xiao K.Q., Zhang L.C., Zarudi I. Mechanical and rheological properties of carbon nanotube-reinforced polyethylene composites. Compos Sci Technol 2001, 67:177-182.
47. Ogasawara T., Ishida Y., Ishikawa T., Yokota R. Characterization of multi-walled carbon nanotube/phenylethynyl terminated polyimide composites. Composites: Part A 2004, 35:67-74.
48. Nairn J.A. On the use of shear-lag methods for analysis of stress transfer unidirectional composites. Mech Mater 1997, 26:63-80.
49. Chunyu Li, Chou T.W. Modeling of elastic buckling of carbon nanotubes by molecular structural mechanics approach. Mech Mater 2004, 36:1047-1105.