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Mechanics of Composite Materials

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01-07-2013

A modal analysis of carbon-nanotube-reinforced polymer by using a multiscale finite-element method

Authors: A. Fereidoon, R. Rafiee, R. Maleki Moghadam

Published in: Mechanics of Composite Materials | Issue 3/2013

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Abstract

A modal analysis of a carbon-nanotube-reinforced polymer (CNTRP) is performed using a 3D finite-element model. A multiscale finite-element model consisting of a single-walled carbon nanotube, a nonbonded interphase region, and the surrounding polymer is constructed. The modal analysis is executed with two types of boundary conditions to obtain the natural frequencies of the CNTRP, and the frequencies obtained are compared with the natural frequencies of a neat polymer. The results show a considerable growth in the natural frequencies of reinforced composites doped even with a small portion of carbon nanotubes.

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S. Iijima, “Helical microtubules of graphitic carbon,” Nature, 354, 568 (1991).CrossRef

M. M. Shokrieh and R. Rafiee, “A review of the mechanical properties of isolated carbon nanotubes and carbon nanotube composites,” Mech. Compos. Mater., 46, No. 2, 155–172 (2010).CrossRef

A. Sakhaee-Pour, M. T. Ahmadian, and A. Vafai, “Vibrational analysis of single-walled carbon nanotubes using beam element,” Thin-Wall Struct., 47, 646–652 (2009).CrossRef

C. Li and T.-W. Chou, “Vibrational behaviors of multiwalled-carbonnanotube- based nanomechanical resonators,” Appl. Phys. Lett., 84, No. 1, 121–123 (2004).CrossRef

D. Sanchez-Portal, E. J. Artacho, and J. M. Soler, “Ab’initio structural, elastic, and vibrational properties of carbon nanotubes,” Phys. Rev. B, 59, No. 19, 12678–12688 (1999).CrossRef

C. Q. Ru, “Intrinsic vibration of multiwalled carbon nanotubes,” Int. J. Nonlinear Sci. Numer. Simul., 3, Nos. 3–4, 735 (2002).

Y. Zhang, G. Liu, and X. Han, “Transverse vibrations of double-walled carbon nanotubes under compressive axial load,” Phys. Lett. A, 340, 258–266 (2005).CrossRef

G. Dereli and C. Ozdogan, “Structural stability and energetics of singlewalled carbon nanotubes under uniaxial strain,” Phys. Rev. B, 67, No. 3, 035416 (2003).CrossRef

G. D. Mahan, “Oscillations of a thin hollow cylinder: carbon nanotubes,” Phys. Rev. B, ; 65, 235402 (2002).

10.

C. Li and T.-W. Chou, “Single-walled nanotubes as ultrahigh frequency nanomechanical resonators,” Phys. Rev. B, 68, 073405 (2003).CrossRef

11.

R. F. Gibson, E. O. Ayorinde, and Y. F. Wen, “Vibrations of carbon nanotubes and their composites: A review,” Compos. Sci. Technol., 67, 1–28 (2007).CrossRef

12.

A. F. Ávila, L. V. Donadon, H. V. Duarte, “Modal analysis on nanoclay epoxy-based fiber-glass laminates,” Compos. Struct., 83, No. 3, 324–333 (2008).CrossRef

13.

G. Formica, W. Lacarbonara, and R. Alessi, “Vibrations of carbon nanotube-reinforced composites,” J. Sound Vibrat., 329, 1875–1889 (2010).CrossRef

14.

M. M. Shokrieh and R. Rafiee, “Prediction of mechanical properties of an embedded carbon nanotube in polymer matrix based on developing an equivalent long fiber,” Mech. Res. Commun., 37, 235–240, (2010).CrossRef

15.

C. Li and T. W. Chou, “A structural mechanics approach for the analysis of carbon nanotubes,” Int. J. Solids Struct., 40, 2487–2499 (2003).CrossRef

16.

K. I. Tserpes and P. Papanikos, “Finite-element modeling of single-walled carbon nanotubes,” Compos. Part B, Eng., 36, 468–477 (2005).

17.

A. L. Kalamkarov, A. V. Georgiades, S. K. Rokkam, V. P. Veedu, and M. N. Ghasemi-Nejhad, “Analytical and numerical techniques to predict carbon nanotubes properties,” Int. J. Solids Struct., 43, 6832–6854 (2006).CrossRef

18.

C. W. S. To, “Bending and shear moduli of single-walled carbon nanotubes,” Finite Element Anal. Des., 42, 404–413 (2006).CrossRef

19.

M. M. Shokrieh and R. Rafiee, “Prediction of Young’s modulus of graphene sheets and carbon nanotubes using nanoscale continuum mechanics approach,” J. Mater. Des., doi:10.1016/j.matdes.2009.07.058.

20.

ANSYS Inc. Theory manual. SAS IP Inc. 2009.

21.

S. B. Sinnott, “Chemical functionalization of carbon nanotubes,” J. Nanosci. Nanotechnol., 2, 113–123 (2002).CrossRef

22.

J. L. Bahr and J. M. Tour, “Covalent chemistry of single-wall carbon nanotubes,” J. Mater. Chem., 12, 1952–1958 (2002).CrossRef

23.

S. J. V. Frankland, A. Caglar, D. W. Brenner, and M. Griebel, “Molecular simulation of the influence of chemical cross-links on the shear strength of carbon nanotube-polymer interfaces,” J. Phys. Chem., B, 106, 3046–3048 (2002).CrossRef

24.

M. L. Shofner, V. N. Khabashesku, and E. V. Barrera, “Processing and mechanical properties of fluorinated single-wall carbon nanotube-polyethylene composites,” Chem. Mater., 18, 906–913 (2006).CrossRef

25.

F. Buffa, G. A. Abraham, B. P. Grady, and D. Resasco, “Effect of nanotube functionalization on the properties of single-walled carbon nanotube/polyurethane composites,” J. Polym. Sci. Part B. Polym. Phys., 45, 490–501 (2007).CrossRef

26.

C. A. Cooper, S. R. Cohen, A. H. Barber, and H. D. Wagner, “Detachment of nanotubes from a polymer matrix,” Appl. Phys. Lett., 81, No. 20, 3873–3875 (2002).CrossRef

27.

A. H. Barber, S. R. Cohen, H. D. Wagner, “Measurement of carbon nanotube-polymer interfacial strength,” Appl. Phys. Lett., 82, No. 23, 4140–4142 (2003).CrossRef

28.

V. Lordi and N. Yao, “Molecular mechanics of binding in carbon-nanotube– polymer composites,” J. Mater. Res., 15, No. 12, 2770–2779 (2000).CrossRef

29.

Y. Kuang and X. He, “Young’s modulus of functionalized single-walled carbon nanotubes under tensile loading,” Compos. Sci. Technol., 2008; doi: 10.1016/j.compscitech.2008.09.044

30.

H. Wan, F. Delale, and L. Shen, “Effect of CNT length and CNT-matrix interphase in carbon nanotube (CNT) reinforced composites,” Mech. Res. Commun., 32, 481–489 (2005).CrossRef

31.

M. R. Ayatollahi, S. Shadlou, and M. M. Shokrieh, “Multiscale modeling of mechanical properties of carbon nanotube reinforced nanocomposites subjected to different types of loading,” Compos. Struct., 93, 2250–2259 (2011).CrossRef

32.

A. H. Barber, S. R. Cohen, S. Kenig, and H. D. Wagner, „Interfacial fracture energy measurements for multi-walled carbon nanotubes pulled from a polymer matrix,” Compos. Sci. Technol., 64, 2283–2289 (2004).

33.

F. Karimzadeh, S. Ziaei-Rad, and S. Adibi, “Modeling considerations and material properties evaluation in analysis of carbon nano-tubes composite,” Metall. Mater. Trans. B, 38, 695–705 (2007).CrossRef

34.

C. Li and T. W. Chou, “Multiscale modeling of carbon nanotube reinforced polymer composites,” J. of Nanosci. Nanotechnol., 3, 423–430 (2003).CrossRef

35.

C. Li and T. W. Chou, “Multiscale modeling of compressive behavior of carbon nanotube/polymer composites,” Compos. Sci. Technol., 66, 2409–2414 (2006).CrossRef

36.

S. K. Georgantzinos, G. I. Giannopoulos, and N. K. Anifantis, “Investigation of stress–strain behavior of single walled carbon nanotube/rubber composites by a multi-scale finite element method,” Theor. Appl. Fract. Mech., 158–164 (2009).

37.

G. I. Giannopoulos, S. K. Georgantzinos, and N. K. Anifantis, “A semi-continuum finite element approach to evaluate the Young’s modulus of single-walled carbon nanotube reinforced composites,” Compos. Part B, 41, No. 8, 594–601 (2010).CrossRef

38.

J. M. Wernik and S. A. Meguid, “Multiscale modeling of the nonlinear response of nano-reinforced polymers,” Acta Mech., 217, 1–16 (2011).CrossRef

39.

L. Y. Jiang, Y. Huang, H. Jiang, G. Ravichandran, H. Gao, K. C. Hwang, and B. Liu, “A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force,” J. Mech. Phys. Solids, 54, 2436–2452 (2006).CrossRef

40.

E. Madenci and I. Guven, “The finite element method and applications in engineering using ANSYS,” Springer, Library of Congress Control Number: 2005052017

Title: A modal analysis of carbon-nanotube-reinforced polymer by using a multiscale finite-element method
Authors: A. Fereidoon
R. Rafiee
R. Maleki Moghadam
Publication date: 01-07-2013
Publisher: Springer US
Published in: Mechanics of Composite Materials / Issue 3/2013
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI: https://doi.org/10.1007/s11029-013-9350-6

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