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Influence of Bending Angle on Mechanical Performance of SWCNTs and DWCNTs Based on Molecular Mechanics: FE Approach

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Abstract

Purpose

Material properties of CNTs are frequently not validated due to experimental limitations. Because of the experimental limitations, authors considered a simulation-based technique created on molecular mechanics concept for incorporating mechanical characteristics of single-walled and double-walled carbon nanotubes.

Method

Authors performed a tensile analysis on SWCNTs (armchair, zigzag and chiral) and DWCNTs (chiral–chiral, zigzag–zigzag, and armchair–armchair) to predict Young’s modulus, stress and ultimate strength of tubes. Authors considered the vdW (van der Waals) in the middle of two nanotubes in DWCNTs prototypes. Here, in analysis, novelty is various bending angles ranging from 0\(^\circ\) to 90\(^\circ\) considered by authors.

Results

Authors considered the vdW in between the two tubes which is a more accurate method to evaluate the mechanical properties of DWCNTs. So, authors considered with and without vdW in between two tubes and compared. Authors also observed that when vdW is considered between two tubes, then Young’s modulus of DWCNTs is higher than the without vdW.

Conclusion

It is clearly observed that when bending angle increased, the Young’s modulus of SWCNTs of all three types of tubes decreased.

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References

  1. Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354(6348):56–58

    Google Scholar 

  2. Jiang Q, Wang X, Zhu Y, Hui D, Qiu Y (2014) Mechanical, electrical and thermal properties of aligned carbon nanotube/polyimide composites. Compos B Eng 56:408–412

    Google Scholar 

  3. Cho JH, Cayll D, Behera D, Cullinan M (2021) Towards repeatable, scalable graphene integrated micro-nano electromechanical systems (MEMS/NEMS). Micromachines 13(1):27

    Google Scholar 

  4. Frenkel D, Smit B (2001) Understanding molecular simulation: from algorithms to applications. Elsevier, Amsterdam

    MATH  Google Scholar 

  5. Smalley RE (1997) Discovering the fullerenes. Rev Mod Phys 69(3):723

    Google Scholar 

  6. Ru CQ (2000) Elastic buckling of single-walled carbon nanotube ropes under high pressure. Phys Rev B 62(15):10405

    Google Scholar 

  7. Ru CQ (2009) Chirality-dependent mechanical behavior of carbon nanotubes based on an anisotropic elastic shell model. Math Mech Solids 14(1–2):88–101

    MathSciNet  MATH  Google Scholar 

  8. Aifantis EC (1992) On the role of gradients in the localization of deformation and fracture. Int J Eng Sci 30(10):1279–1299

    MATH  Google Scholar 

  9. Aifantis EC (2011) On the gradient approach–relation to Eringen’s nonlocal theory. Int J Eng Sci 49(12):1367–1377

    MathSciNet  Google Scholar 

  10. Askes H, Aifantis EC (2011) Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results. Int J Solids Struct 48(13):1962–1990

    Google Scholar 

  11. Xu KY, Alnefaie KA, Abu-Hamdeh NH, Almitani KH, Aifantis EC (2013) Dynamic analysis of a gradient elastic polymeric fiber. Acta Mech Solida Sin 26(1):9–20

    Google Scholar 

  12. Askes H, Aifantis EC (2009) Gradient elasticity and flexural wave dispersion in carbon nanotubes. Phys Rev B 80(19):195412

    Google Scholar 

  13. Wang J, Lam DC (2009) Model and analysis of size-stiffening in nanoporous cellular solids. J Mater Sci 44(4):985–991

    Google Scholar 

  14. Xu KY, Aifantis EC, Yan YH (2008) Vibrations of double-walled carbon nanotubes with different boundary conditions between inner and outer tubes. J Appl Mech. https://doi.org/10.1115/1.2793133

    Article  Google Scholar 

  15. Xu KY, Alnefaie KA, Abu-Hamdeh NH, Almitani KH, Aifantis EC (2014) Free transverse vibrations of a double-walled carbon nanotube: gradient and internal inertia effects. Acta Mech Solida Sin 27(4):345–352

    Google Scholar 

  16. Belytschko T, Xiao SP, Schatz GC, Ruoff RS (2002) Atomistic simulations of nanotube fracture. Phys Rev B 65(23):235430

    Google Scholar 

  17. Meo M, Rossi M (2006) Tensile failure prediction of single wall carbon nanotube. Eng Fract Mech 73(17):2589–2599

    Google Scholar 

  18. Rossi M, Meo M (2009) On the estimation of mechanical properties of single-walled carbon nanotubes by using a molecular-mechanics based FE approach. Compos Sci Technol 69(9):1394–1398

    Google Scholar 

  19. Giannopoulos GI, Kakavas PA, Anifantis NK (2008) Evaluation of the effective mechanical properties of single walled carbon nanotubes using a spring based finite element approach. Comput Mater Sci 41(4):561–569

    Google Scholar 

  20. Fan CW, Liu YY, Hwu C (2009) Finite element simulation for estimating the mechanical properties of multi-walled carbon nanotubes. Appl Phys A 95(3):819–831

    Google Scholar 

  21. Yan JW, Zhang W (2021) An atomistic-continuum multiscale approach to determine the exact thickness and bending rigidity of monolayer graphene. J Sound Vib 514:116464

    Google Scholar 

  22. Yan JW, Zhu JH, Li C, Zhao XS, Lim CW (2022) Decoupling the effects of material thickness and size scale on the transverse free vibration of BNNTs based on beam models. Mech Syst Signal Process 166:108440

    Google Scholar 

  23. Yan JW, He JB, Tong LH (2019) Longitudinal and torsional vibration characteristics of boron nitride nanotubes. J Vib Eng Technol 7(3):205–215

    Google Scholar 

  24. Spires T, Brown RM (1996) High resolution TEM observations of single-walled carbon nanotubes. Jr. Department of Botany, The University of Texas at Austin, Austin

    Google Scholar 

  25. Odom TW, Huang JL, Kim P, Lieber CM (1998) Atomic structure and electronic properties of single-walled carbon nanotubes. Nature 391(6662):62–64

    Google Scholar 

  26. Mohammadpour E, Awang M (2011) Predicting the nonlinear tensile behavior of carbon nanotubes using finite element simulation. Appl Phys A 104(2):609–614

    Google Scholar 

  27. Dresselhaus MS, Dresselhaus G, Saito R (1995) Physics of carbon nanotubes. Carbon 33(7):883–891

    Google Scholar 

  28. Meo M, Rossi M (2007) A molecular-mechanics based finite element model for strength prediction of single wall carbon nanotubes. Mater Sci Eng, A 25(454):170–177

    Google Scholar 

  29. Natsuki T, Tantrakarn K, Endo M (2004) Effects of carbon nanotube structures on mechanical properties. Appl Phys A 79(1):117–124

    Google Scholar 

  30. Chang T, Gao H (2003) Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. J Mech Phys Solids 51(6):1059–1074

    MATH  Google Scholar 

  31. Gonçalves EH, Ribeiro P (2021) Modes of vibration of single-and double-walled CNTs with an attached mass by a non-local shell model. J Vib Eng Technol 10:375–393

    Google Scholar 

  32. Luo Q, Li C, Li S (2021) Transverse free vibration of axisymmetric functionally graded circular nanoplates with radial loads. J Vib Eng Technol 9(6):1253–1268

    Google Scholar 

  33. Patel AM, Joshi AY (2013) Vibration analysis of double wall carbon nanotube based resonators for zeptogram level mass recognition. Comput Mater Sci 79:230–238

    Google Scholar 

  34. Patel AM, Joshi AY (2014) Effect of waviness on the dynamic characteristics of double walled carbon nanotubes. Nanosci Nanotechnol Lett 6:1–9

    Google Scholar 

  35. Patel AM, Joshi AY (2014) Investigating the influence of surface deviations in double walled carbon nanotube based nanomechanical sensors. Comput Mater Sci 89:157–164

    Google Scholar 

  36. Ardeshana B, Jani U, Patel A, Joshi A (2017) An approach to modelling and simulation of singlewalled carbon nanocones for sensing applications. AIMS Mater Sci 4(4):1010–1028

    Google Scholar 

  37. Ardeshana BA, Jani UB, Patel AM, Joshi AY (2018) Characterizing the vibration behavior of double walled carbon nano cones for sensing applications. Mater Technol 33(7):451–466

    Google Scholar 

  38. Ardeshana BA, Jani UB, Patel AM, Joshi AY (2020) Investigating the elastic behavior of carbon nanocone reinforced nanocomposites. Proc Inst Mech Eng C J Mech Eng Sci 234(14):2908–2922

    Google Scholar 

  39. Papanikos P, Nikolopoulos DD, Tserpes KI (2008) Equivalent beams for carbon nanotubes. Comput Mater Sci 43(2):345–352

    Google Scholar 

  40. Fan CW, Huang J, Hwu C, Liu Y (2005) A Finite Element approach for estimation of Young’s Modulus of single-walled carbon nanotubes. In: The Third Taiwan-Japan Workshop on Mechanical and Aerospace Engineering. Hualian, pp 28–29

  41. WenXing B, ChangChun Z, WanZhao C (2004) Simulation of Young’s modulus of single-walled carbon nanotubes by molecular dynamics. Physica B 352(1–4):156–163

    Google Scholar 

  42. Haile JM (1992) Molecular dynamics simulation-elementary methods. Willey, New York

    Google Scholar 

  43. Walther JH, Jaffe R, Halicioglu T, Koumoutsakos P (2001) Carbon nanotubes in water: structural characteristics and energetics. J Phys Chem B 105(41):9980–9987

    Google Scholar 

  44. Doh J, Lee J (2016) Prediction of the mechanical behavior of double walled-CNTs using a molecular mechanics-based finite element method: effects of chirality. Comput Struct 169:91–100

    Google Scholar 

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Authors and Affiliations

  1. Mechatronics Department, G.H. Patel College of Engineering and Technology, Vallabh-Vidyanagar, Gujarat, 388120, India

    Bhavik Ardeshana, Umang Jani & Ajay Patel

Authors
  1. Bhavik Ardeshana
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  2. Umang Jani
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  3. Ajay Patel
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Correspondence to Ajay Patel.

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Ardeshana, B., Jani, U. & Patel, A. Influence of Bending Angle on Mechanical Performance of SWCNTs and DWCNTs Based on Molecular Mechanics: FE Approach. J. Vib. Eng. Technol. 11, 251–264 (2023). https://doi.org/10.1007/s42417-022-00575-z

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  • DOI: https://doi.org/10.1007/s42417-022-00575-z

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