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Interface characteristics of carbon nanotube reinforced polymer composites using an advanced pull-out model. (English) Zbl 1398.74050

Summary: An advanced pull-out model is presented to obtain the interface characteristics of carbon nanotube (CNT) in polymer composite. Since, a part of the CNT/matrix interface near the crack tip is considered to be debonded, there must present adhesive van der Waals (vdW) interaction which is generally presented in the form of Lennard-Jones potential. A separate analytical model is also proposed to account normal cohesive stress caused by the vdW interaction along the debonded CNT/polymer interface. Analytical solutions for axial and interfacial shear stress components are derived in closed form. The analytical result shows that contribution of vdW interaction is very significant and also enhances stress transfer potential of CNT in polymer composite. Parametric studies are also conducted to obtain the influence of key composite factors on bonded and debonded interface. The result reveals that the parameter dependency of interfacial stress transfer is significantly higher in the perfectly bonded interface than that of the debonded interface.

MSC:

74E30 Composite and mixture properties
74R05 Brittle damage
81T10 Model quantum field theories
74A50 Structured surfaces and interfaces, coexistent phases
81R99 Groups and algebras in quantum theory
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[1] Lourie O, Wagner HD (1998) Evaluation of Young’s modulus of carbon nanotubes by Micro-Raman Spectroscopy. J Mater Res 13:2418-2422. doi:10.1557/JMR.1998.0336 · Zbl 0675.73060
[2] Thostenson, ET; Ren, Z; Chou, T-W, Advances in the science and technology of carbon nanotubes and their composites: a review, Compos Sci Technol, 61, 1899-1912, (2001)
[3] Treacy, MMJ; Ebbesen, TW; Gibson, JM, Exceptionally high young’s modulus observed for individual carbon nanotubes, Nature, 381, 678-680, (1996)
[4] Wong, EW; Sheehan, PE; Lieber, CM, Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes, Science, 277, 1971-1975, (1997)
[5] Yakobson, BI; Brabec, CJ; Bernholc, J, Nanomechanics of carbon tubes: instabilities beyond linear response, Phys Rev Lett, 76, 2511, (1996)
[6] Ashrafi, B; Hubert, P, Modeling the elastic properties of carbon nanotube array/polymer composites, Compos Sci Technol, 66, 387-396, (2006)
[7] Ajayan PM, Schadler LS, Giannaris C, Rubio A (2000) Single- walled carbon nanotube-polymer composites: strength and weakness. Adv Mater 12:750-753. doi:10.1002/(sici)1521-4095(200005)12:10
[8] Chen, XH; Chen, CS; Xiao, HN; Liu, HB; Zhou, LP; Li, SL; Zhang, G, Dry friction and wear characteristics of nickel/carbon nanotube electroless composite deposits, Tribol Int, 39, 22-28, (2006)
[9] Manoharan, MP; Sharma, A; Desai, AV; Haque, MA; Bakis, CE; Wang, KW, The interfacial strength of carbon nanofiber epoxy composite using single fiber pullout experiments, Nanotechnology, 20, 295701, (2009)
[10] Qian, D; Wagner, GJ; Liu, WK; Yu, M-F; Ruoff, RS, Mechanics of carbon nanotubes, Appl Mech Rev, 55, 495, (2002)
[11] Desai, A; Haque, M, Mechanics of the interface for carbon nanotube-polymer composites, Thin Walled Struct, 43, 1787-1803, (2005)
[12] Salehikhojin, A; Jalili, N, A comprehensive model for load transfer in nanotube reinforced piezoelectric polymeric composites subjected to electro-thermo-mechanical loadings, Compos Part B Eng, 39, 986-998, (2008)
[13] Qian, D; Liu, WK; Ruoff, RS, Load transfer mechanism in carbon nanotube ropes, Compos Sci Technol, 63, 1561-1569, (2003)
[14] Liao, K; Li, S, Interfacial characteristics of a carbon nanotube-polystyrene composite system, Appl Phys Lett, 79, 4225, (2001)
[15] Manoharan, MP; Sharma, A; Desai, AV; Haque, MA; Bakis, CE; Wang, KW, The interfacial strength of carbon nanofiber epoxy composite using single fiber pullout experiments, Nanotechnology, 20, 295701, (2009)
[16] Kin, L; Sean, L, Interfacial characteristics of a carbon nanotube-polystyrene composite system, Appl Phys Lett, 79, 4225-4227, (2001)
[17] Haque, A; Ramasetty, A, Theoretical study of stress transfer in carbon nanotube reinforced polymer matrix composites, Compos Struct, 71, 68-77, (2005)
[18] Jiang, L; Huang, Y; Jiang, H; Ravichandran, G; Gao, H; Hwang, K; Liu, B, A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force, J Mech Phys Solids, 54, 2436-2452, (2006) · Zbl 1120.74324
[19] Jiang Y, Zhou W, Kim T, Huang Y, Zuo J (2008) Measurement of radial deformation of single-wall carbon nanotubes induced by intertube van der Waals forces. Phys Rev B 77. doi:10.1103/PhysRevB.77.153405
[20] Zheng, Q; Xue, Q; Yan, K; Gao, X; Li, Q; Hao, L, Effect of chemisorption on the interfacial bonding characteristics of carbon nanotube-polymer composites, Polymer, 49, 800-808, (2008)
[21] Lau, K, Interfacial bonding characteristics of nanotube/polymer composites, Chem Phys Lett, 370, 399-405, (2003)
[22] Gou, J; Liang, Z; Zhang, C; Wang, B, Computational analysis of effect of single-walled carbon nanotube rope on molecular interaction and load transfer of nanocomposites, Compos Part B Eng, 36, 524-533, (2005)
[23] Seshadri M, Saigal S (2007) Crack bridging in polymer nanocomposites. J Engi Mech 133:911-918. doi:10.1061/(ASCE)0733-9399(2007)133:8(911) · Zbl 1120.74419
[24] Li-Min, Z; Jang-Kyo, K; Yiu-Wing, M, On the single fibre pull-out problem: effect of loading method, Compos Sci Technol, 45, 153-160, (1992)
[25] Cox, HL, The elasticity and strength of paper and other fibrous materials, British J Appl Phys, 3, 72-79, (1952)
[26] Chiang, Y-C, The influence of Poisson contraction on matrix cracking stress in fiber reinforced ceramics, J Mater Sci, 36, 3239-3246, (2001)
[27] Frankland, SJV; Harik, VM, Analysis of carbon nanotube pull-out from a polymer matrix, Surf Sci, 525, l103-l108, (2003) · Zbl 0971.81066
[28] Tan, X; Kin, L, A nonlinear pullout model for unidirectional carbon nanotube-reinforced composites, Compos Part B Eng, 35B, 211-217, (2004)
[29] Kin-tak, L, Interfacial bonding characteristics of nanotube/polymer composites, Chem Phys Lett, 370, 399-405, (2003)
[30] Daniel Wagner, H, Nanotube-polymer adhesion: a mechanics approach, Chem Phys Lett, 361, 57-61, (2002)
[31] Natsuki, T; Wang, F; Ni, Q; Endo, M, Interfacial stress transfer of fiber pullout for carbon nanotubes with a composite coating, J Mater Sci, 42, 4191-4196, (2007)
[32] Natsuki, T; Wang, F; Ni, QQ; Endo, M, Interfacial stress transfer of fiber pullout for carbon nanotubes with a composite coating, J Mater Sci, 42, 4191-4196, (2007)
[33] Ahmed KS, Keng AK (2010) An improved pullout model for carbon nanotube reinforced composites in: Proceedings of the twenty-third KKCNN symposium on civil engineering. Taipei, Taiwan, pp 41-44
[34] Ahmed, KS; Keng, AK, A pull-out model for perfectly bonded carbon nanotube in polymer composite, J Mech Mater Struct, 7, 753-764, (2012)
[35] Gao, X; Li, K, A shear-lag model for carbon nanotube-reinforced polymer composites, Int J Solids Struct, 42, 1649-1667, (2005) · Zbl 1120.74419
[36] Ailin L, Wang KW, Bakis CE (2010) Multiscale damping model for polymeric composites containing carbon nanotube ropes. J Compos Mater 44:2301-2323. doi:10.1177/0021998310365176
[37] Budiansky, B; Hutchinson, JW; Evans, AG, Matrix fracture in fiber-reinforced ceramics, J Mech Phys Solids, 34, 167-189, (1986) · Zbl 0575.73106
[38] Gao, Y-C; Mai, Y-W; Cotterell, B, Fracture of fiber-reinforced materials, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 39, 550-572, (1988) · Zbl 0675.73060
[39] Xiao, T; Liao, K, A nonlinear pullout model for unidirectional carbon nanotube-reinforced composites, Compos Part B Eng, 35, 211-217, (2004)
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