Abstract
In this paper, the penetration-resistance efficiency of single-layer and multilayer graphene sheets has been investigated by means of the multiscale approach. The employed multiscale approach has been implemented by establishing a direct correlation between the finite element method and the molecular dynamics approach and validated by comparing its results with those of the existing experimental works. Since by using numerous techniques, a new class of graphene sheets can be fabricated in which the graphene layers are spaced farther apart (more than the usual distance between layers), this paper has concentrated on the optimal spacing between graphene layers with the goal of improving the impact properties of graphene sheets as important candidates for novel impact-resistant panels. For this purpose, the relative protection (protection with respect to weight) values of graphene sheets were obtained, and it was observed that the relative protection of a single-layer graphene sheet is about 3.64 times that of a 20-layer graphene sheet. This study also showed that a spaced multilayer graphene sheet, with its inter-layer distance being 20 times the usual spacing between ordinary graphene layers, has an impact resistance which is about 20 % higher than that of an ordinary 20-layer graphene sheet. The findings of this paper can be appropriately used in the design and fabrication of future-generation impact-resistant protective panels.
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S. Sadeghzadeh, Nanoparticle mass detection by single and multilayer graphene sheets: theory and simulations. Appl. Math. Model (2016). doi:10.1016/j.apm.2016.03.051
S. Bae, H. Kim, Y. Lee, X. Xu, J.-S. Park, Y. Zheng et al., Roll-to-roll production of 30 in. graphene films for transparent electrodes. Nat. Nanotecnol. 5, 574–578 (2010)
F. Bonaccorso, Z. Sun, T. Hasan, A.C. Ferrari, Graphene photonics and optoelectronics. Nat. Photon. 4, 611–622 (2010)
E. Allahyari, M. Fadaee, Analytical investigation on free vibration of circular double-layer graphene sheets including geometrical defect and surface effects. Compos. Part B Eng. 85, 259–267 (2016)
X. Chen, C. Yi, C. Ke, Bending stiffness and interlayer shear modulus of few-layer graphene. Appl. Phys. Lett. 106, 101907 (2015)
J. Wang, C. Xu, H. Hu, L. Wan, R. Chen, H. Zheng et al., Synthesis, mechanical, and barrier properties of LDPE/graphene nanocomposites using vinyl triethoxysilane as a coupling agent. J. Nanoparticle Res. 13, 869–878 (2011)
J.-H. Lee, P.E. Loya, J. Lou, E.L. Thomas, Dynamic mechanical behavior of multilayer graphene via supersonic projectile penetration. Science 346, 1092–1096 (2014)
N.S. Anton, M.Y. Mehdi, J. Romaneh, P.J. Ouseph, R.W. Cohn, G.U. Sumanasekera, Electrostatic deposition of graphene. Nanotechnology 18, 135301 (2007)
B. Gotsmann, H. Rothuizen, U. Duerig, Ballistic nanoindentation of polymers. Appl. Phys. Lett. 93, 093116 (2008)
B.A. Gama, S.L. Lopatnikov, J.W. Gillespie, Hopkinson bar experimental technique: a critical review. Appl. Mech. Rev. 57, 223–250 (2004)
J.A. Zukas, High Velocity Impact Dynamics (Wiley, New York, 1990)
B. Mortazavi, T. Rabczuk, Multiscale modeling of heat conduction in graphene laminates. Carbon 85, 1–7 (2015)
R. Khare, S.L. Mielke, G.C. Schatz, T. Belytschko, Multiscale coupling schemes spanning the quantum mechanical, atomistic forcefield, and continuum regimes. Comput. Methods Appl. Mech. Eng. 197, 3190–3202 (2008)
H. Talebi, M. Silani, S.P.A. Bordas, P. Kerfriden, T. Rabczuk, A computational library for multiscale modeling of material failure. Comput. Mech. 53, 1047–1071 (2014)
H. Talebi, M. Silani, S.P. Bordas, P. Kerfriden, T. Rabczuk, Molecular dynamics/xfem coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture. Int. J. Multiscale Comput. Eng. 11, 527–541 (2013)
M. Silani, S. Ziaei-Rad, H. Talebi, T. Rabczuk, A semi-concurrent multiscale approach for modeling damage in nanocomposites. Theoret. Appl. Fract. Mech. 74, 30–38 (2014)
C.T. Lim, V.B.C. Tan, C.H. Cheong, Perforation of high-strength double-ply fabric system by varying shaped projectiles. Int. J. Impact Eng. 27, 577–591 (2002)
B. Artur, L. Daniel, B. Noelia, U. Seyithan, M. Rainhard, M. Sharali et al., Nanostructured arrays of stacked graphene sheets. Nanotechnology 23, 415302 (2012)
S. Sadeghzadeh, On the oblique collision of gaseous molecules with graphene nanosheets. Mol. Simul. 42, 1–9 (2016)
Y.Y. Zhang, C.M. Wang, Y. Cheng, Y. Xiang, Mechanical properties of bilayer graphene sheets coupled by sp3 bonding. Carbon 49, 4511–4517 (2011)
Q. Lu, M. Arroyo, R. Huang, Elastic bending modulus of monolayer graphene. J. Phys. D Appl. Phys. 42, 102002 (2009)
M. Korayem, S. Sadeghzadeh, V. Rahneshin, A new multiscale methodology for modeling of single and multi-body solid structures. Comput. Mater. Sci. 63, 1–11 (2012)
S. Plimpton, Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995)
W. Zhiyong, L. Nan, S. Zujin, G. Zhennan, Low-cost and large-scale synthesis of graphene nanosheets by arc discharge in air. Nanotechnology 21, 175602 (2010)
J. Tersoff, Modeling solid-state chemistry: interatomic potentials for multicomponent systems. Phys. Rev. B 39, 5566–5568 (1989)
S. Sadeghzadeh, Equivalent mechanical boundary conditions for single layer graphene sheets. Micro Nano Lett. 11, 248–252 (2016)
M. Korayem, S. Sadeghzadeh, V. Rahneshin, A. Homayooni, M. Safa, Precise manipulation of metallic nanoparticles: multiscale analysis. Comput. Mater. Sci. 67, 11–20 (2013)
H. Talebi, M. Silani, T. Rabczuk, Concurrent multiscale modeling of three dimensional crack and dislocation propagation. Adv. Eng. Softw. 80, 82–92 (2015)
J.R. Potts, D.R. Dreyer, C.W. Bielawski, R.S. Ruoff, Graphene-based polymer nanocomposites. Polymer 52, 5–25 (2011)
B.Z. Jang, A. Zhamu, Processing of nanographene platelets (NGPs) and NGP nanocomposites: a review. J. Mater. Sci. 43, 5092–5101 (2008)
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Sadeghzadeh, S. Benchmarking the penetration-resistance efficiency of multilayer graphene sheets due to spacing the graphene layers. Appl. Phys. A 122, 655 (2016). https://doi.org/10.1007/s00339-016-0186-5
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DOI: https://doi.org/10.1007/s00339-016-0186-5