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Research Papers

Effect of Inter-Defect Interaction on Tensile Fatigue Behavior of a Single-Walled Carbon Nanotube With Stone–Wales Defects

[+] Author and Article Information
Z. R. Zhou

Research Fellow
School of Mechanical and
Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798
e-mail: zhou0096@e.ntu.edu.sg

K. Liao

Professor
Department of Aerospace Engineering,
Khalifa University of Science,
Technology, and Research,
P.O. Box 127788,
Abu Dhabi, United Arab Emirates
e-mail: kin.liao@kustar.ac.ae

1Corresponding author.

Manuscript received February 19, 2012; final manuscript received November 5, 2012; accepted manuscript posted January 31, 2013; published online July 12, 2013. Assoc. Editor: Daining Fang.

J. Appl. Mech 80(5), 051005 (Jul 12, 2013) (6 pages) Paper No: JAM-12-1075; doi: 10.1115/1.4023536 History: Received February 19, 2012; Revised November 05, 2012; Accepted January 31, 2013

A refined molecular life prediction scheme for single-walled carbon nanotubes (SWCNTs), taking into consideration C–C bond rotation and preexisting strain under mechanical loads, is proposed. The time-dependent fracture behavior of 12 different cases of zigzag (18,0) SWCNT, each embedded with either a single Stone–Wales (SW) defect of different types or two interacting or noninteracting defects, is studied under axially applied tensile load. It is shown that the patterns of atomistic crack propagation and fatigue lives of SWCNTs are influenced by the type and orientation of the SW defect(s), inter-defect distance, as well as the magnitude of externally applied stress. For SWCNTs with two SW defects, if the inter-defect distance is within the so called indifference length, defect-defect interaction does exist, and it has pronounced effects on diminishing the lives of the nanotubes. Also, the defect-defect interaction is stronger at shorter inter-defect distance, resulting in shorter fatigue lives.

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References

Wang, X., Li, Q., Xie, J., Jin, Z., Wang, J., Li, Y., Jiang, K., and Fan, S., 2009, “Fabrication of Ultralong and Electrically Uniform Single-Walled Carbon Nanotubes on Clean Substrates,” Nano Lett., 9(9), pp. 3137–3141. [CrossRef] [PubMed]
Treacy, M. M. J., Ebbesen, T. W., and Gibson, J. M., 1996, “Exceptionally High Young's Modulus Observed for Individual Carbon Nanotubes,” Nature, 381(6584), pp. 678–680. [CrossRef]
Yu, M.-F., Lourie, O., Dyer, M. J., Moloni, K., Kelly, T. F., and Ruoff, R. S., 2000, “Strength and Breaking Mechanism of Multiwalled Carbon Nanotubes Under Tensile Load,” Science, 287, pp. 637–640. [CrossRef] [PubMed]
Yakobson, B. I., Campbell, M. P., Brabec, C. J., and Bernholc, J., 1997, “High Strain Rate Fracture and C-Chain Unraveling in Carbon Nanotubes,” Comput. Mater. Sci., 8, pp. 341–348. [CrossRef]
Charlier, J. C., 2002, “Defects in Carbon Nanotubes,” Acc. Chem. Res., 35(12), pp. 1063–1069. [CrossRef] [PubMed]
Buongiorno Nardelli, M., Fattebert, J. L., Orlikowski, D., Roland, C., Zhao, Q., and Bernholc, J., 2000, “Mechanical Properties, Defects and Electronic Behavior of Carbon Nanotubes,” Carbon, 38(11–12), pp. 1703–1711. [CrossRef]
Zhang, Z. Q., Liu, B., Chen, Y. L., Jiang, H., Hwang, K. C., and Huang, Y., 2008, “Mechanical Properties of Functionalized Carbon Nanotubes,” Nanotechnology, 19(39), p. 395702. [CrossRef] [PubMed]
Stone, A. J., and Wales, D. J., 1986, “Theoretical Studies of Icosahedral C60 and Some Related Species,” Chem. Phys. Lett., 128(5–6), pp. 501–503. [CrossRef]
Buongiorno Nardelli, M., Yakobson, B. I., and Bernholc, J., 1998, “Mechanism of Strain Release in Carbon Nanotubes,” Phys. Rev. B, 57(8), pp. R4277–R4280. [CrossRef]
Lu, Q., and Bhattacharya, B., 2005, “Effect of Randomly Occurring Stone–Wales Defects on Mechanical Properties of Carbon Nanotubes Using Atomistic Simulation,” Nanotechnology, 16, pp. 555–566. [CrossRef]
Liu, L. Q., and Wagner, H. D., 2007, “A Comparison of the Mechanical Strength and Stiffness of MWNT-PMMA and MWNT-Epoxy Nanocomposites,” Compos. Interfaces, 14(4), pp. 285–297. [CrossRef]
Barber, A. H., Andrews, R., Schadler, L. S., and Wagner, H. D., 2005, “On the Tensile Strength Distribution of Multiwalled Carbon Nanotubes,” Appl. Phys. Lett., 87(20), p. 203106. [CrossRef]
Barber, A. H., Cohen, S. R., and Wagner, H. D., 2003, “Measurement of Carbon Nanotube-Polymer Interfacial Strength,” Appl. Phys. Lett., 82(23), pp. 4140–4142. [CrossRef]
Zhao, Q., Nardelli, M. B., and Bernholc, J., 2002, “Ultimate Strength of Carbon Nanotubes: A Theoretical Study,” Phys. Rev. B, 65(14), p. 144105. [CrossRef]
Li, F., Cheng, H. M., Bai, S., Su, G., and Dresselhaus, M. S., 2000, “Tensile Strength of Single-Walled Carbon Nanotubes Directly Measured From Their Macroscopic Ropes,” Appl. Phys. Lett., 77(20), pp. 3161–3163. [CrossRef]
Ajayan, P. M., Schadler, L. S., Giannaris, C., and Rubio, A., 2000, “Single-Walled Carbon Nanotube-Polymer Composites: Strength and Weakness,” Adv. Mater., 12(10), pp. 750–753. [CrossRef]
Zhurkov, S. N., 1965, “Kinetic Concept of the Strength of Solids,” Int. J. Fract. Mech., 1, pp. 311–323.
Coleman, J. N., Khan, U., Blau, W. J., and Gun'ko, Y. K., 2006, “Small But Strong: A Review of the Mechanical Properties of Carbon Nanotube-Polymer Composites,” Carbon, 44(9), pp. 1624–1652. [CrossRef]
Liew, K. M., Wong, C. H., and Tan, M. J., 2006, “Tensile and Compressive Properties of Carbon Nanotube Bundles,” Acta Mater., 54(1), pp. 225–231. [CrossRef]
Gojny, F. H., Wichmann, M. H. G., Köpke, U., Fiedler, B., and Schulte, K., 2004, “Carbon Nanotube-Reinforced Epoxy-Composites: Enhanced Stiffness and Fracture Toughness at Low Nanotube Content,” Compos. Sci. Technol., 64(15), pp. 2363–2371. [CrossRef]
Wichmann, M. H. G., Schulte, K., and Wagner, H. D., 2008, “On Nanocomposite Toughness,” Compos. Sci. Technol., 68(1), pp. 329–331. [CrossRef]
Xia, Z., Riester, L., Curtin, W. A., Li, H., Sheldon, B. W., Liang, J., Chang, B., and Xu, J. M., 2004, “Direct Observation of Toughening Mechanisms in Carbon Nanotube Ceramic Matrix Composites,” Acta Mater., 52(4), pp. 931–944. [CrossRef]
Zhang, W., Suhr, J., and Koratkar, N. A., 2006, “Observation of High Buckling Stability in Carbon Nanotube Polymer Composites,” Adv. Mater., 18(4), pp. 452–456. [CrossRef]
Suhr, J., 2007, “Visco-Elastic Properties of Aligned Multi-Walled Carbon Nanotube Blocks,” Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Seattle, WA, November 11–15, ASME Paper No. IMECE2007-42611, pp. 281–298. [CrossRef]
Suhr, J., and Koratkar, N., 2008, “Energy Dissipation in Carbon Nanotube Composites: A Review,” J. Mater. Sci., 43(13), pp. 4370–4382. [CrossRef]
Suhr, J., Zhang, W., Ajayan, P. M., and Koratkar, N. A., 2006, “Temperature-Activated Interfacial Friction Damping in Carbon Nanotube Polymer Composites,” Nano Lett., 6(2), pp. 219–223. [CrossRef] [PubMed]
Liew, K. M., He, X. Q., and Wong, C. H., 2004, “On the Study of Elastic and Plastic Properties of Multi-Walled Carbon Nanotubes Under Axial Tension Using Molecular Dynamics Simulation,” Acta Mater., 52(9), pp. 2521–2527. [CrossRef]
Ren, Y., Li, F., Cheng, H.-M., and Liao, K., 2003, “Tension-Tension Fatigue Behavior of Unidirectional Single-Walled Carbon Nanotube Reinforced Epoxy Composite,” Carbon, 41(11), pp. 2177–2179. [CrossRef]
Xiao, T., Ren, Y., and Liao, K., 2004, “A Kinetic Model for Time-Dependent Fracture of Carbon Nanotubes,” Nano Lett., 4(6), pp. 1139–1142. [CrossRef]
Ren, Y., Xiao, T., and Liao, K., 2006, “Time-Dependent Fracture Behavior of Single-Walled Carbon Nanotubes With and Without Stone-Wales Defects,” Phys. Rev. B, 74(4), p. 045410. [CrossRef]
Suhr, J., Victor, P., Sreekala, L. C. S., Zhang, X., Nalamasu, O., and Ajayan, P. M., 2007, “Fatigue Resistance of Aligned Carbon Nanotube Arrays Under Cyclic Compression,” Nat. Nanotechnol., 2(7), pp. 417–421. [CrossRef] [PubMed]
Zhang, W., Picu, R. C., and Koratkar, N., 2007, “Suppression of Fatigue Crack Growth in Carbon Nanotube Composites,” Appl. Phys. Lett., 91(19), p. 193109. [CrossRef]
Zhang, W., Picu, R. C., and Koratkar, N., 2008, “The Effect of Carbon Nanotube Dimensions and Dispersion on the Fatigue Behavior of Epoxy Nanocomposites,” Nanotechnology, 19(28), p. 285709. [CrossRef] [PubMed]
Grimmer, C., and Dharan, C., 2008, “High-Cycle Fatigue of Hybrid Carbon Nanotube/Glass Fiber/Polymer Composites,” J. Mater. Sci., 43(13), pp. 4487–4492. [CrossRef]
Ma, G., Ren, Y., Guo, J., Xiao, T., Li, F., Cheng, H., Zhou, Z., and Liao, K., 2008, “How Long Can Single-Walled Carbon Nanotube Ropes Last Under Static or Dynamic Fatigue?,” Appl. Phys. Lett., 92(8), p. 083105. [CrossRef]
Ganß, M., Satapathy, B. K., Thunga, M., Weidisch, R., Pötschke, P., and Jehnichen, D., 2008, “Structural Interpretations of Deformation and Fracture Behavior of Polypropylene/Multi-Walled Carbon Nanotube Composites,” Acta Mater., 56(10), pp. 2247–2261. [CrossRef]
Huq, A. M. A., Goh, K. L., Zhou, Z. R., and Liao, K., 2008, “On Defect Interactions in Axially Loaded Single-Walled Carbon Nanotubes,” J. Appl. Phys., 103(5), p. 054306. [CrossRef]
Huq, A. M. A., Bhuiyan, A. K., Liao, K., and Goh, K. L., 2010, “Defect-Defect Interaction in Single-Walled Carbon Nanotubes Under Torsional Loading,” Int. J. Mod. Phys. B, 24(10), pp. 1215–1226. [CrossRef]
Kelly, B. T., 1981, Physics of Graphite, Applied Science, London.
Xiao, T., and Liao, K., 2002, “Nonlinear Elastic Properties of Carbon Nanotubes Subjected to Large Axial Deformations,” Phys. Rev. B, 66(15), p. 153407. [CrossRef]
Xiao, T., Ren, Y., Ping, W., and Liao, K., 2006, “Force-Strain Relation of Bundles of Carbon Nanotubes,” Appl. Phys. Lett., 89(3), p. 033116. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic diagram of cross-sectional area of two SWCNTs in a bundle. Solid curves are SWCNTs with radius r, and the area within a dash curve approximates cross-sectional area of an SWCNT, π(r+h)2.

Grahic Jump Location
Fig. 4

Schematics of propagation of atomic-sized crack on (18,0) SWCNT embedded with single or defect-pair under high or low tensile stress. (a) A1 defect under full stress range; (b) A2 defect under full stress range; (c) B defect under high stress (≥6.3 GPa); (d) B defect under low stress (<6.3 GPa); (e) A1-A2/D1 defect-pair under high stress (≥7.2 GPa); (f) A1-A2/D1 defect-pair under low stress (<7.2 GPa); (g) A1-A2/D0 (D0 = 0) defect-pair under high stress (≥11.8 GPa); (h) A1-A2/D0 (D0 = 0) defect-pair (D0 = 0) under low stress (<11.8 GPa); (i) A1-B/D3 defect-pair under high stress (≥6.3 GPa); (j) A1-B/D3 defect-pair under low stress (<6.3 GPa); (k) A1-B/D1 defect-pair under high stress (≥6.5 GPa); (l) A1-B/D1 defect-pair under low stress (<6.5 GPa).

Grahic Jump Location
Fig. 5

Five stress-life (S-N) curves of zigzag (18,0) SWCNTs without defects and with A1, A2, A1-A2/D0, and A1-A2/D1, named by Curves 0, 1, 2, 3, and 4, respectively. Hollow circles on the curves highlight inflection points or intersection. Solid circles are S-N data from static fatigue tests of SWCNT ropes from Ref. [35].

Grahic Jump Location
Fig. 6

Five stress-life (S-N) curves of zigzag (18,0) SWCNTs without defects and with A1, B, A1-B/D1, and A1-B/D3, named by Curves 0, 1, 5, 6, and 7, respectively. Hollow circles on the curves highlight inflection points of curves or intersection of both curves. Solid circles are S-N data from static fatigue tests of SWCNT ropes from Ref. [35].

Grahic Jump Location
Fig. 3

Graphs of E/eV of 12 zigzag (18,0) SWCNTs of the same length with or without defects at zero nominal strain. Four filled rectangles (▪) denote E of four SWCNTs embedded with A1-B defect pairs from D0 to D3; four filled circles (•) denote E of four SWCNTs embedded with A1-A2 defect pairs from D0 to D3. The dotted lines linking up these data points indicate the trend of E with an increase of D. Four horizontal lines represent E of SWCNTs with a single or no defect.

Grahic Jump Location
Fig. 2

Schematic molecular models of zigzag (18,0) SWCNTs with different types of SW defects: (a) A1 defect, (b) A2 defect, (c) B defect, (d) A1-A2 defect pair with a distance D1 between two them, and (e) A1-B defect pair with a distance of D3 between them. The bond with highest bond energy E within each SWCNT is indicated by an arrow—these are the first C–C bonds to be broken.

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