Predicting the piezoresistance contribution of carbon nanotubes in a polymer matrix through finite element modeling
DOI:
https://doi.org/10.31349/RevMexFis.59.6.511Keywords:
Carbon nanotubes, piezoresistivity, polymer composites, finite elementAbstract
The change in electrical resistance due to mechanical deformation of carbon nanotube (CNT)/polymer composites can be rationalized in terms of two main effects: i) changes in the composite electrical resistivity due to changes in the CNT network configuration, and ii) deformation of the CNTs themselves. The contribution of CNT dimensional changes (ii) to the piezoresistivity of CNT/polymer composites is investigated here. A model based on a representative volume element which describes the CNT geometrical contribution to the composite electromechanical response (piezoresistivity) in terms of the CNT and matrix deformations is proposed. Finite element analysis is performed to correlate the macroscale composite strain to the individual CNT strain. The CNT geometric contribution to the piezoresistivity of the composite is quantified for a range of matrix elastic modulus and different CNT orientations. Based on the model predictions and previous experimental results, it is estimated that the contribution of the CNT deformation to the composite piezoresistivity is only about 5%, indicating that the dominant effect in the piezoresistivity of CNT/polymer composites is the change in the CNT network configuration.Downloads
References
T. W. Tombleret al.,Nature 405(2000) 769 DOI: https://doi.org/10.1038/35015519
M. B. Nardelli and J. Bernholc,Phys. Rev. B60(1999) 16338 DOI: https://doi.org/10.1103/PhysRevB.60.R16338
P. Dharap, Z. Li, S. Nagarajaiah and E.V. Barrera,Nanotechnology5(2004) 379 DOI: https://doi.org/10.1088/0957-4484/15/3/026
W. Zhang, J. Suhr and N. Koratkar, J. Nanosci. Nanotechnol. 6(2006) 960 DOI: https://doi.org/10.1166/jnn.2006.171
I. P. Kang, M.J. Schulz, J.H. Kim, V. Sanov and D.L. Shi,Smart.Mater. Struct.15(2006) 737 DOI: https://doi.org/10.1088/0964-1726/15/3/009
L. J. Lanticseet al., Carbon44(2006) 3078
R. Haggenmueller, H. H. Gommans, A. G. Rinzler, J. E. Fischer, K. I. Winey, Chem. Phys. Lett. 330 (2000) 219 DOI: https://doi.org/10.1016/S0009-2614(00)01013-7
J. R. Wood, Q. Zhao, H. D. Wagner,Composites A 32 (2001) 391 DOI: https://doi.org/10.1016/S1359-835X(00)00105-6
E. T. Thostenson, T. W. Chou, J. Phys. D: Appl. Phys. 36 (2002) L77 DOI: https://doi.org/10.1088/0022-3727/35/16/103
J. K. W. Sandleret al.,Polymer 45 (2004) 2001 DOI: https://doi.org/10.1016/j.polymer.2004.01.023
P. Potschke, S. M. Dudkin, I. Alig, Polymer 44 (2003) 5023 DOI: https://doi.org/10.1016/S0032-3861(03)00451-8
T. Kimura, H. Ago, M. Tobita, S. Ohshima, M. Kyotani, M.Yumura, Adv. Mater. 14 (2002) 1380 DOI: https://doi.org/10.1002/1521-4095(20021002)14:19<1380::AID-ADMA1380>3.0.CO;2-V
B. W. Smith, Z. Benes, D. E. Luzzi, J. E. Fischer, Appl. Phys. Lett. 77 (2000) 663 DOI: https://doi.org/10.1063/1.127078
J. Hone Jet al., Appl. Phys. Lett. 77 (2000) 666 DOI: https://doi.org/10.1063/1.127079
K. Yamamoto, S. Akita, Y. Nakayama, J. Phys. D: Appl. Phys. 31 (1998) L 34 DOI: https://doi.org/10.1088/0022-3727/31/8/002
M. S. Kumar, T.h. Kim, S. H. Lee, S. M. Song, J. W. Yang, K.S.Nahm, E. K. Suh,Chem. Phys. Lett. 383 (2004) 235 DOI: https://doi.org/10.1016/j.cplett.2003.11.032
J. Li, Q. Zhang, N. Peng, Q. Zhu, Appl. Phys. Lett. 86 (2005) 153116 DOI: https://doi.org/10.1063/1.1901825
R. Krupke, F. Hennrich, H. Lohneysen, M. Kappes, Science 301 (2003) 344 DOI: https://doi.org/10.1126/science.1086534
C. Parket al., J. Polym. Sci. B 44 (2006) 1751 DOI: https://doi.org/10.1002/polb.20823
A. I. Oliva-Aviles, F. Aviles V. Sosa, A. I. Oliva, F. Gamboa, Nanotechnology 23 (2012) 465710 DOI: https://doi.org/10.1088/0957-4484/23/46/465710
A. I. Oliva-Aviles, F. Aviles and V. Sosa, Carbon 49 (2011) 2989 DOI: https://doi.org/10.1016/j.carbon.2011.03.017
N. Hu, Y. Karube, M. Arai, T. Watanabe, C. Yan, Y. Li, Y. Liuand H. Fukunaga, Carbon 48 (2010) 680 DOI: https://doi.org/10.1016/j.carbon.2009.10.012
T. C. Theodosiou and D. A. Saravanos, Compos. Sci. Technol. 70 (2010) 1312 DOI: https://doi.org/10.1016/j.compscitech.2010.04.003
M. D. Rein, O. Breuer and H. D. Wagner, Compos. Sci. Technol. 71 (2011) 373 DOI: https://doi.org/10.1016/j.compscitech.2010.12.008
C. Li, E. T. Thostenson and T.W. Chou, Appl. Phys. Lett. 91 (2007) 223114 DOI: https://doi.org/10.1063/1.2819690
M. H. G. Wichmann, S.T. Buschhorn, J. Gehrmann and K. Schulte, Phys. Rev. B 80 (2009) 245437 DOI: https://doi.org/10.1103/PhysRevB.80.245437
A. S. Kobayashi, Handbook on Experimental Mechanics (VCHPublishers, New York, 1993), p. 40
X. L. Chen and Y. J. Liu, Comput. Mat. Sci. 29 (2004) 1 DOI: https://doi.org/10.1016/S0927-0256(03)00090-9
UDEL Polysulfone Design Guide,Solvay Advanced Polymers(2002)
P. G. Collins and P. Avouris, Scient. Am. 238 (2000) 62 DOI: https://doi.org/10.1038/scientificamerican1200-62
C. Li and T.W. Chou,J. Nanosci. Nanotechnol. 3 (2003) 423 DOI: https://doi.org/10.1166/jnn.2003.233
R. L. Hannah and S. E. Reed, Strain Gage User’s Handbook (Elsevier Applied Science, London and New York, 1992). p. 4
M. Park, H. Kim and J. Youngblood, Nanotechnology 19 (2008) 055705 DOI: https://doi.org/10.1088/0957-4484/19/05/055705
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