Abstract
The Young modulus and the Poisson coefficient of two-dimensionally extended columnar graphene are theoretically studied in the uniaxial tension. The effect of length and diameter of nanotubes constituting the composite is considered. The numerical experiments are implemented using the minimum structural link and the periodical boundary conditions via the density functional theory method. The Young moduli of the composite are evaluated upon its extension along the normal to the graphene and along the graphene directions with increasing lengths of carbon nanotubes (CNTs) in the composite. The Poisson coefficient for this type of composites is found to be 0.025.
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O. E. Glukhova, A. S. Kolesnikova, I. N. Salii, and M. M. Slepchenkov, Vestn. Samar. Univ. 9, 102 (2013).
S. Vadukumpully, J. Paul, N. Mahanta, and S. Valiyaveettil, Carbon 49, 198 (2011).
A. V. Eletskii, Phys. Usp. 50, 225 (2007).
E. D. Grayfer, V. G. Makotchenko, A. S. Nazarov, S. D. Kim, and V. E. Fedorov, Russ. Chem. Rev. 80, 751 (2011).
O. E. Glukhova, A. S. Kolesnikova, G. V. Torgashov, and Z. I. Buyanova, Phys. Solid State 52, 1323 (2010).
A. G. Pronevskii and M. S. Tivanov, Vestn. BGU, Ser. 1: Fiz. Mat. Inform., No. 1, 48 (2015).
M. V. Kharlamova, Phys. Usp. 56, 1047 (2013).
A. V. Eletskii, Phys. Usp. 45, 369 (2002).
Y. Zhu, L. Li, C. Zhang, G. Casillas, Z. Sun, Z. Yan, G. Ruan, Z. Peng, A. R. O. Raji, C. Kittrell, R. H. Hauge, and J. M. Tour, Nat. Commun. 3, 1 (2012).
J. H. Deng, F. J. Wang, L. Cheng, B. Yu, G.-Z. Li, X.-G. Hou, D.-J. Li, and G.-A. Cheng, Mater. Lett. 124, 15 (2014).
V. Varshney, S. S. Patnaik, A. K. Roy, G. Froudakis, and B. L. Farmer, ACS Nano 4, 1153 (2010).
E. Pop, V. Varshney, and A. K. Roy, MRS Bull. Mater. Res. Soc. 37, 1273 (2012).
J. Gong and P. Yang, RSC Adv. 4, 19622 (2014).
Y. Wu, T. Zhang, F. Zhang, Y. Wang, Y. Ma, Y. Huang, Y. Liu, and Y. Chen, Nano Energy 1, 820 (2012).
V. A. Labunov, B. G. Shulitski, A. L. Prudnikova, Y. P. Shaman, and A. S. Basaev, Semicond. Phys. Quantum Electron. Optoelectron. 13, 137 (2010).
F. Du, D. Yu, L. Dai, S. Ganguli, V. Varshney, and A. K. Roy, Chem. Mater. 23, 4810 (2011).
V. Jousseaume, J. Cuzzocrea, N. Bernier, and V. T. Renard, Appl. Phys. Lett. 98, 123103 (2011).
N. D. Kim, Y. Li, G. Wang, X. Fan, J. Jiang, L. Li, Y. Ji, G. Ruan, R. H. Hauge, and J. M. Tour, Nano Lett. 16, 1287 (2016).
O. E. Glukhova, A. S. Kolesnikova, M. M. Slepchenkov, and D. S. Shmygin, Phys. Solid State 57, 1009 (2015).
O. E. Glukhova, A. S. Kolesnikova, M. M. Slepchenkov, G. V. Savost’yanov, and D. S. Shmygin, Radiotekhnika, No. 7, 64 (2015).
R. Shahsavari and N. Sakhavand, Carbon 95, 699 (2015).
S. Sihn, V. Varshney, A. K. Roy, and B. L. Farmer, Carbon 50, 603 (2012).
C. H. Wang, T. H. Fang, and W. L. Sun, J. Phys. D 47, 405 (2014).
Y. C. Wang, Y. B. Zhu, F. C. Wang, X. Y. Liu, and H. A. Wu, Carbon 118, 588 (2017).
M. Moradi and J. A. Mohandesi, AIP Adv. 5, 117143 (2015).
K. Xia, H. Zhan, Y. Wei, and Y. Gu, Beilstein J. Nanotechnol. 5, 329 (2014).
T.-H. Fang, W.-J. Chang, Y.-C. Fan, and W.-L. Sun, Jpn. J. Appl. Phys. 55, 040301 (2016).
P. Lv, X.-W. Tan, K.-H. Yu, R.-L. Zheng, J.-J. Zheng, and W. Wei, Carbon 99, 222 (2016).
X. Wang, G. Sun, and P. Chen, Front. Energy Res. 2, 1 (2014).
T. Mayalagan, X. Dong, P. Chen, and X. Wang, J. Mater. Chem. 2, 5286 (2012).
K. P. Prasad, Y. Chen, and P. Chen, Appl. Mater. Interfaces 6, 3387 (2014).
M. G. Hahm, A. L. M. Reddy, D. P. Cole, M. Rivera, J. A. Vento, J. Nam, H. Y. Jung, Y. L. Kim, N. T. Narayanan, D. P. Hashim, C. Galande, Y. J. Jung, M. Bundy, S. Karna, P. M. Ajayan, and R. Vajtai, Nano Lett. 12, 566 (2012).
H. Ji, L. Zhang, M. T. Pettes, H. Li, S. Chen, L. Shi, R. Piner, and R. S. Ruoff, Nano Lett. 12, 2446 (2012).
Y. Zhang, Z. Zhen, Z. Zhang, J. Lao, J. Wei, K. Wang, F. Kang, and H. Zhu, Electrochem. Acta 157, 131 (2015).
D. C. Higgins, M. A. Hoque, F. Hassan, J.-Y. Choi, B. Kim, and Z. Chen, ACS Catal. 4, 2734 (2014).
R. Saito, G. Dresselhaus, and M. S. Dresselhaus, Physical Properties of Carbon Nanotubes (World Scientific, London, 1998), p. 259.
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Original Russian Text © A.S. Kolesnikova, M.M. Mazepa, 2018, published in Fizika Tverdogo Tela, 2018, Vol. 60, No. 9, pp. 1781–1784.
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Kolesnikova, A.S., Mazepa, M.M. The Young Modulus and the Poisson Coefficient of Two-Dimensionally Extended Columnar Graphene. Phys. Solid State 60, 1827–1830 (2018). https://doi.org/10.1134/S1063783418090160
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DOI: https://doi.org/10.1134/S1063783418090160