A three-phase cylindrical shear-lag model for carbon nanotube composites

Acta Mechanica

Volumn 196, Issue 1-2, 2008, Pages 33-54

  Zhang, Junqian ^a   He, C ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CARBON NANOTUBES; MATHEMATICAL MODELS; VISCOELASTICITY; VOLUME FRACTION;

COMPOSITE MODULUS; CONCENTRIC CYLINDRICAL SHELL; INTERFACIAL STRESS; MATRIX STRESS;

COMPOSITE MATERIALS;

EID: 39749093042     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-007-0489-x     Document Type: Article

References (52)

1. Thostenson E. T., Ren Z. and Chou T.-W. (2001). Advances in the science and technology of carbon nanotubes and their composites: a review. Compos. Sci. Technol. 61: 1899-1912
2. Qian D., Wagner G. J., Liu W. K., Yu M. F. and Rouff R. S. (2002). Mechanics of carbon nanotubes. Appl. Mech. Rev. 22: 495-533
3. Thostenson E. T., Li C. and Chou T.-W. (2005). Review: Nanocomposites in context. Compos. Sci. Technol. 65: 491-516
4. Desai A. V. and Haque M. A. (2005). Review: Mechanics of the interface for carbon nanotube-polymer composites. Thin-Walled Struct. 43: 1787-1803
5. Tjong S. C. (2006). Structural and mechanical properties of polymer nanocomposites. Mater. Sci. Engng. Res. 53: 73-197
6. Breuer O. and Sundararaj U. (2004). Big returns from small fibers: a review of polymer/carbon nanotube composites. Polymer Compos. 25: 630-645
7. Xie X. L., Mai Y. W. and Zhou X. P. (2005). Dispersion and alignment of carbon nanotubes in polymer matrix: a review. Mater. Sci. Engng. Ref. 49: 89-112
8. Lau K. T. and Hui D. (2002). The revolutionary creation of new advanced materials-carbon nanotube composites. Composites Part B. 33: 263-277
9. Lau K. T., Gu C. and Hui D. (2006). A critical review on nanotube and nanotube/nanoclay related polymer composite materials. Composites Part B. 37: 425-436
10. Jonathan N. C., Umar K., Werner J. B. and Yurii K. G. (2006). Small but strong: a review of the mechanical properties of carbon nanotube-polymer composites. Carbon 44: 1624-1652
11. Gong X., Liu J., Baskaran S., Voise R. D. and Young J. S. (2005). Surfactant assisted processing of carbon nanotube/polymer composites. Chem. Mater. 12: 1049-1052
12. Qian D., Dickey E. C., Andrews R. and Rantell T. (2000). Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Appl. Phys. Lett. 76: 2868-2870
13. Tibbetts G. G. and McHugh J. (1999). Mechanical properties of vapor-grown carbon fiber composites with thermoplastic matrices. J. Mater. Res. 4: 2871-2880
14. Xu X. J., Thwe M. M., Shearwood C. and Liao K. (2002). Mechanical properties and interfacial characteristics of carbon-nanotube-reinforced epoxy thin films. Appl. Phys. Lett. 81: 2833-2835
15. Cadek M., Coleman J. N., Barron V., Hedicke K. and Blau W. J. (2002). Morphological and mechanical properties of carbon-nanotube-reinforced semicrystalline and amorphous polymer composites. Appl. Phys. Lett. 82: 5123-5125
16. Ruan L. S., Gao P., Yang X. G. and Yu T. X. (2003). Toughening high performance ultrahigh molecular weight polyethylene using multiwalled carbon nanotubes. Polymer 44: 5643-5654
17. Gojny F. H., Wichmann M. H. G., Kopke U., Fiedler B. and Schulte K. (2004). Carbon nanotube-reinforced epoxy-composites: enhanced stiffness and fracture toughness at low nantube content. Compos. Sci. Technol. 64: 2363-2371
18. Gojny F. H., Wichmann M. H. G., Kopke U., Fiedler B. and Schulte K. (2005). Influence of different carbon nanotubes on the mechanical properties of epoxy matrix composites-A comparative. Compos. Sci. Technol. 65: 2300-2313
19. Andrew R., Jacques D., Minot M. and Rantell T. (2002). Fabrication of carbon multiwall nanotube/polymer composites by shear mixing. Macromol. Mater. Engng. 287: 395-403
20. Santare, M. H., Tang, W., Novotny, J. E., Advani, S. G.: Mechanical characterization of a nanotube-polyethylene composite material. In: Proceedings of IMECE'03, paper 43351.2003. ASME, Washington, DC
21. Schadler L. S., Giannaris S. C. and Ajayan P. M. (1998). Load transfer in carbon epoxy composite. Appl. Phys. Lett. 73: 3842-3844
22. Andrews R., Jacques D., Rao A. M., Rantell T., Derbyshire F. and Chen Y. (1999). Nanotube composites carbon fibers. Appl. Phys. Lett. 75: 1329-1331
23. Vigolo B., Penicaud A., Coulon C., Sauder C., Pailler R. and Journet C. (2000). Macroscopic fibers and ribbons of oriented carbon nanotubes. Science 290: 1331-1334
24. Thostenson E. T. and Chou T.-W. (2002). Aligned multi-walled carbon nanotube-reinforced composites: processing and mechanical characterization. J. Phys. D: Appl. Phys. 35: 77-80
25. Ajayan P. M., Schadler L. S., Giannaris C. and Rubio A. (2002). Single-walled nanotube-polymer composites: strength and weaknesses. Adv. Mater. 12: 750-753
26. Gojny F. H., Wichmann, Nastalczyk J., Roslaniec Z., Schulte K. (2003). Surface modified multi-walled carbon nanotubes in CNT/epoxy-composites. Chem. Phys. Lett. 370: 820-824
27. Ding D., Eitan A., Fisher F. T., Chen X., Dikin D. X., Andrews R., Brinson L. C., Schadler L. S. and Ruoff R. S. (2003). Direct observation of polymer sheathing in carbon nanotube-polycarbonate composites. Nano Lett. 11: 1593-1597
28. Eitan A., Fisher F. T., Andrews R., Brinson L. C. and Schadler L. (2006). Reinforcement mechanisms in MWCNT- filled polycarbonate. Compos. Sci. Technol. 66: 1162-1173
29. Fisher F. T. (2002). Nanomechanics and the viscoelastic behavior of carbon nanotube reinforced polymers. Mechanical Engineering, Northwestern University, Evanston, IL
30. Fisher, T. F., Lee, K. C., Brinson, L. C.: Elastic and viscoelastic properties of non-bulk polymer interphases in nanotube-reinforced polymers. SEM 2005 Annual Conference on Experimental and Applied Mechanics, June 7-9, Portland, OR (2005)
31. Seidel G. D. and Lagoudas D. C. (2006). Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites. Mech. Mater. 38: 884-907
32. Gao X.-L. and Li K. (2005). A Shear-lag model for carbon nanotube-reinforced polymer composites. Int. J. Solids Struct. 42: 1649-1667
33. Haque A. and Ramasetty A. (2005). Theoretical study of stress transfer in carbon nanotube reinforced polymer matrix composites. Compos. Struct. 71: 68-77
34. Li C. and Chou T.-W. (2003). Multiscale modeling of carbon nanotube reinforced polymer composites. J. Nanosci. Nanotech. 3: 1-8
35. Chen X. L. and Liu Y. J. (2004). Square representative volume elements for evaluating the effective material properties of carbon nanotube-based composites. Compos. Sci. Technol. 29: 1-11
36. Chen X. L. and Liu Y. J. (2003). Evaluations of the effective material properties of carbon anotube-based composites using a nanoscale representative volume element. Mech. Mater. 35: 69-81
37. Hu N., Fukunaga H., Lu C., Kameyana M. and Yan B. (2005). Prediction of elastic properties of carbon nanotube reinforced composites. Proc. R. Soc. A 461: 1685-1710
38. Hu, N., Fukunaga, H.: Prediction of macroscopic mechanical properties of carbon nanotube reinforced composites. International Conference on Smart Materials Structures and Systems, July 8-30, Bangalore, India (2005)
39. Liu Y. J. and Chen X. L. (2003). Continuum models of carbon nanotube-based composites using the boundary element method. Electron. J. Bound. Elements l: 316-335
40. Qian D., Dickey E. C., Andrews R. and Rantell T. (2000). Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Appl. Phys. Lett. 76: 2868-2870
41. Lau K. T. and Shi S. Q. (2002). Failure mechanics of carbon nanotube/epoxy composites pretreated in different temperature environments. Carbon 40: 965-968
42. Wei C. Y., Cho K. and Srivastava D. (2003). Tensile yielding of multiwall carbon nanotubes. Appl. Phys. Lett. 82: 2512-2514
43. Lau K. T., Chipara M., Ling H. Y. and Hui D. (2004). On the effective elastic moduli of carbon nanotubes for nanocomposites structures. Composites Part B. 35: 95-101
44. Christensen R. M. (1982). Theory of Viscoelasticity: An Introduction. Academic, New York
45. McCartney, L. N.: Analytical models of stress transfer in unidirectional composites and cross-ply laminates, and their application to the prediction of matrix/transverse cracking. In: Local Mechanics Concepts for Composite Material Systems (Reddy, J. N., Reifsnider K. L., eds.), Proc. IUTAM Symposium, Blacksburg, VA, October 28-31, pp. 251-282. Berlin: Springer 1991.
46. Nairn J. A. (1997). On the use of shear-lag methods for analysis of stress transfer in unidirectional composites. Mech. Mater. 26: 63-80
47. Zhang J. and Herrmann K. P. (1999). Stiffness degradation induced by multilayer intralaminar cracking in composite laminates. Composite Part A. 30: 683-706
48. Li C. and Chou T.-W. (2003). Elastic moduli of multi-walled carbon nanotubes and the effect of van der Waals forces. Compos. Sci. Technol. 63: 1517-1524
49. Li C. and Chou T.-W. (2003). A structural mechanics approach for the analysis of carbon nanotubes. Int. J. Solids Struct. 40: 2487-2499
50. Abate J. and Valko P. P. (2004). Multi-precision Laplace transform inversion. Int. J. Numer. Meth. Engng. 60: 979-993
51. Brinson L. C. and Lin W. S. (1998). Comparison of micromechanics methods for effective properties of multiphase viscoelastic compounds. Compos. Struct. 41: 353-367
52. Fisher F. T., Bradshaw R. D. and Brinson L. C. (2003). Fiber waviness in nanotube-reinforced polymer composites - I: Modulus predictions using effective nanotube properties. Compos. Sci. Technol. 63: 1689-1703