Skip to main content
SpringerLink
Log in

Advancement of a model for electrical conductivity of polymer nanocomposites reinforced with carbon nanotubes by a known model for thermal conductivity

  • Original Article
  • Published:
Engineering with Computers Aims and scope Submit manuscript

Abstract

The models for thermal conductivity of polymer nanocomposites reinforced by carbon nanotubes (CNT) (PCNT) can express the electrical conductivity, because both electrical and thermal conductivities consistently depend on the CNT properties. In this study, a known model for thermal conductivity of PCNT is simplified and developed for electrical conductivity assuming CNT aspect ratio, network fraction, interphase districts, tunneling area between near CNT and CNT wettability by polymer medium. Simple equations express the volume fraction of networked CNT by CNT loading, CNT size and interphase depth. In addition, applicable equations suggest the total conduction of CNT and tunnels. The satisfactory matching among measured records and forecasts in addition to the rational effects of whole factors on the conductivity confirm the advanced model. Lengthy CNT and dense interphase usefully manipulate the conductivity, but short CNT or thin interphase cannot increase the conductivity of insulated medium. Additionally, only the high level of polymer tunneling resistivity prevents the conducting efficiency of CNT in PCNT. Also, wide tunnels and short tunneling distance highly progress the conductivity, but very small tunneling width causes an insulated specimen.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Ghassabi M, Zarastvand M, Talebitooti R (2019) Investigation of state vector computational solution on modeling of wave propagation through functionally graded nanocomposite doubly curved thick structures. Eng Comput 36:1–17

    MATH  Google Scholar 

  2. Ebrahimi F, Mahesh V (2019) Chaotic dynamics and forced harmonic vibration analysis of magneto-electro-viscoelastic multiscale composite nanobeam. Eng Comput, pp 1–14. https://doi.org/10.1007/s00366-019-00865-3

  3. Ebrahimi F, Dabbagh A (2019) An analytical solution for static stability of multi-scale hybrid nanocomposite plates. Eng Comput, pp 1–15. https://doi.org/10.1007/s00366-019-00840-y

  4. Hassanzadeh-Aghdam MK, Mahmoodi MJ, Ansari R (2019) Creep performance of CNT polymer nanocomposites-An emphasis on viscoelastic interphase and CNT agglomeration. Compos B Eng 168:274–281

    Google Scholar 

  5. Hassanzadeh-Aghdam MK, Mahmoodi MJ, Ansari R, Mehdipour H (2019) Effects of adding CNTs on the thermo-mechanical characteristics of hybrid titanium nanocomposites. Mech Mater 131:121–135

    Google Scholar 

  6. Hajmohammad MH, Nouri AH, Zarei MS, Kolahchi R (2019) A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal environment. Eng Comput 35:1141–1157

    Google Scholar 

  7. Mallek H, Jrad H, Wali M, Dammak F (2019) Nonlinear dynamic analysis of piezoelectric-bonded FG-CNTR composite structures using an improved FSDT theory. Eng Comput, pp 1–19.https://doi.org/10.1007/s00366-019-00891-1

  8. Karimiasl M, Ebrahimi F, Mahesh V (2019) Postbuckling analysis of piezoelectric multiscale sandwich composite doubly curved porous shallow shells via Homotopy Perturbation Method. Eng Comput, pp 1–17. https://doi.org/10.1007/s00366-019-00841-x

  9. Ebrahimi F, Farazmandnia N, Kokaba MR, Mahesh V (2019) Vibration analysis of porous magneto-electro-elastically actuated carbon nanotube-reinforced composite sandwich plate based on a refined plate theory. Eng Comput, pp 1–16. https://doi.org/10.1007/s00366-019-00864-4

  10. Nikfar N, Zare Y, Rhee KY (2018) Dependence of mechanical performances of polymer/carbon nanotubes nanocomposites on percolation threshold. Phys B Condens Matter 533:69–75

    Google Scholar 

  11. Zare Y, Rhee KY (2019a) Following the morphological and thermal properties of PLA/PEO blends containing carbon nanotubes (CNTs) during hydrolytic degradation. Compos B Eng 175:107–132

    Google Scholar 

  12. Lee S-Y, Hwang J-G (2019) Finite element nonlinear transient modelling of carbon nanotubes reinforced fiber/polymer composite spherical shells with a cutout. Nanotechnol Rev 8:444–451

    Google Scholar 

  13. Behdinan K, Moradi-Dastjerdi R, Safaei B, Qin Z, Chu F, Hui D (2020) Graphene and CNT impact on heat transfer response of nanocomposite cylinders. Nanotechnol Rev 9:41–52

    Google Scholar 

  14. Zare Y, Rhee KY (2017a) Development and modification of conventional Ouali model for tensile modulus of polymer/carbon nanotubes nanocomposites assuming the roles of dispersed and networked nanoparticles and surrounding interphases. J Colloid Interface Sci 506:283–290

    Google Scholar 

  15. Zare Y, Rhee KY (2017b) Prediction of tensile modulus in polymer nanocomposites containing carbon nanotubes (CNT) above percolation threshold by modification of conventional model. Curr Appl Phys 17:873–879

    Google Scholar 

  16. Jiang Q, Tallury SS, Qiu Y, Pasquinelli MA (2020) Interfacial characteristics of a carbon nanotube-polyimide nanocomposite by molecular dynamics simulation. Nanotechnol Rev 9:136–145

    Google Scholar 

  17. Zhang Y-F, Du F-P, Chen L, Yeung K-W, Dong Y, Law W-C, Tsui GC-P, Tang C-Y (2020) Supramolecular ionic polymer/carbon nanotube composite hydrogels with enhanced electromechanical performance. Nanotechnol Rev 9:478–488

    Google Scholar 

  18. Zare Y, Rhee KY (2019b) Simplification and development of McLachlan model for electrical conductivity of polymer carbon nanotubes nanocomposites assuming the networking of interphase regions. Compos B Eng 156:64–71

    Google Scholar 

  19. Zare Y, Rhee KY (2018a) A simple model for electrical conductivity of polymer carbon nanotubes nanocomposites assuming the filler properties, interphase dimension, network level, interfacial tension and tunneling distance. Compos Sci Technol 155:252–260

    Google Scholar 

  20. Zare Y, Rhim S, Garmabi H, Rhee KY (2018) A simple model for constant storage modulus of poly (lactic acid)/poly (ethylene oxide)/carbon nanotubes nanocomposites at low frequencies assuming the properties of interphase regions and networks. J Mech Behav Biomed Mater 80:164–170

    Google Scholar 

  21. Qiao R, Brinson LC (2009) Simulation of interphase percolation and gradients in polymer nanocomposites. Compos Sci Technol 69:491–499

    Google Scholar 

  22. Baxter SC, Robinson CT (2011) Pseudo-percolation: Critical volume fractions and mechanical percolation in polymer nanocomposites. Compos Sci Technol 71:1273–1279

    Google Scholar 

  23. Zare Y, Rhee KY (2017c) Development of a model for electrical conductivity of polymer/graphene nanocomposites assuming interphase and tunneling regions in conductive networks. Ind Eng Chem Res 56:9107–9115

    Google Scholar 

  24. Razavi R, Zare Y, Rhee KY (2017) A two-step model for the tunneling conductivity of polymer carbon nanotube nanocomposites assuming the conduction of interphase regions. RSC Adv 7:50225–50233

    Google Scholar 

  25. Li J, Ma PC, Chow WS, To CK, Tang BZ, Kim JK (2007) Correlations between percolation threshold, dispersion state, and aspect ratio of carbon nanotubes. Adv Funct Mater 17:3207–3215

    Google Scholar 

  26. Du F, Scogna RC, Zhou W, Brand S, Fischer JE, Winey KI (2004) Nanotube networks in polymer nanocomposites: rheology and electrical conductivity. Macromolecules 37:9048–9055

    Google Scholar 

  27. Maiti S, Bera R, Karan SK, Paria S, De A, Khatua BB (2019) PVC bead assisted selective dispersion of MWCNT for designing efficient electromagnetic interference shielding PVC/MWCNT nanocomposite with very low percolation threshold. Compos Part B Eng 167:377–386

    Google Scholar 

  28. Maiti S, Shrivastava NK, Khatua B (2013) Reduction of percolation threshold through double percolation in melt-blended polycarbonate/acrylonitrile butadiene styrene/multiwall carbon nanotubes elastomer nanocomposites. Polym Compos 34:570–579

    Google Scholar 

  29. Takeda T, Shindo Y, Kuronuma Y, Narita F (2011) Modeling and characterization of the electrical conductivity of carbon nanotube-based polymer composites. Polymer 52:3852–3856

    Google Scholar 

  30. Feng C, Jiang L (2013) Micromechanics modeling of the electrical conductivity of carbon nanotube (CNT)–polymer nanocomposites. Compos A Appl Sci Manuf 47:143–149

    Google Scholar 

  31. Taherian R (2016) Experimental and analytical model for the electrical conductivity of polymer-based nanocomposites. Compos Sci Technol 123:17–31

    Google Scholar 

  32. Hassanzadeh-Aghdam MK, Mahmoodi MJ (2018) Micromechanical modeling of thermal conducting behavior of general carbon nanotube-polymer nanocomposites. Mater Sci Eng, B 229:173–183

    Google Scholar 

  33. Vahedi A, Lahidjani MHS, Shakhesi S (2018) Multiscale modeling of thermal conductivity of carbon nanotube epoxy nanocomposites. Phys B 550:39–46

    Google Scholar 

  34. Romano V, Naddeo C, Guadagno L, Vertuccio L (2015) Thermal conductivity of epoxy resins filled with MWCNT and hydrotalcite clay: Experimental data and theoretical predictive modeling. Polym Compos 36:1118–1123

    Google Scholar 

  35. Im H, Kim J (2012) Thermal conductivity of a graphene oxide–carbon nanotube hybrid/epoxy composite. Carbon 50:5429–5440

    Google Scholar 

  36. Ye X, Hu J, Li B, Hong M, Zhang Y (2019) Graphene loaded with nano-Cu as a highly efficient foam interface material with excellent properties of thermal-electronic conduction, anti-permeation and electromagnetic interference shielding. Chem Eng J 361:1110–1120

    Google Scholar 

  37. Hatta H, Taya M, Kulacki F, Harder J (1992) Thermal diffusivities of composites with various types of filler. J Compos Mater 26:612–625

    Google Scholar 

  38. Gojny FH, Wichmann MH, Fiedler B, Kinloch IA, Bauhofer W, Windle AH, Schulte K (2006) Evaluation and identification of electrical and thermal conduction mechanisms in carbon nanotube/epoxy composites. Polymer 47:2036–2045

    Google Scholar 

  39. Al-Saleh MH (2015) Influence of conductive network structure on the EMI shielding and electrical percolation of carbon nanotube/polymer nanocomposites. Synth Met 205:78–84

    Google Scholar 

  40. Zare Y, Rhee KY (2019c) The effective conductivity of polymer carbon nanotubes (CNT) nanocomposites. J Phys Chem Solids 131:15–21

    Google Scholar 

  41. Zare Y, Rhee KY, Park S-J (2019) Modeling the roles of carbon nanotubes and interphase dimensions in the conductivity of nanocomposites. Results in Physics 15:102562

    Google Scholar 

  42. Ji XL, Jiao KJ, Jiang W, Jiang BZ (2002) Tensile modulus of polymer nanocomposites. Polym Eng Sci 42:983

    Google Scholar 

  43. Mohiuddin M, Hoa SV (2013) Estimation of contact resistance and its effect on electrical conductivity of CNT/PEEK composites. Compos Sci Technol 79:42–48

    Google Scholar 

  44. Rittigstein P, Torkelson JM (2006) Polymer–nanoparticle interfacial interactions in polymer nanocomposites: confinement effects on glass transition temperature and suppression of physical aging. J Polym Sci, Part B: Polym Phys 44:2935–2943

    Google Scholar 

  45. Mai F, Habibi Y, Raquez J-M, Dubois P, Feller J-F, Peijs T, Bilotti E (2013) Poly (lactic acid)/carbon nanotube nanocomposites with integrated degradation sensing. Polymer 54:6818–6823

    Google Scholar 

  46. Lisunova M, Mamunya YP, Lebovka N, Melezhyk A (2007) Percolation behaviour of ultrahigh molecular weight polyethylene/multi-walled carbon nanotubes composites. Eur Polymer J 43:949–958

    Google Scholar 

  47. Kim YJ, Shin TS, Choi HD, Kwon JH, Chung Y-C, Yoon HG (2005) Electrical conductivity of chemically modified multiwalled carbon nanotube/epoxy composites. Carbon 43:23–30

    Google Scholar 

  48. Ma X, Zare Y, Rhee KY (2017) A two-step methodology to study the influence of aggregation/agglomeration of nanoparticles on young’s modulus of polymer nanocomposites. Nanoscale Res Lett 12:621

    Google Scholar 

  49. Zare Y, Rhee KY (2019d) A simulation work for the influences of aggregation/agglomeration of clay layers on the tensile properties of nanocomposites. JOM 71:3989–3995

    Google Scholar 

  50. Razavi R, Zare Y, Rhee KY (2019) The roles of interphase and filler dimensions in the properties of tunneling spaces between CNT in polymer nanocomposites. Polym Compo. 40:801–810

    Google Scholar 

  51. Zare Y, Garmabi H, Rhee KY (2018) Roles of filler dimensions, interphase thickness, waviness, network fraction, and tunneling distance in tunneling conductivity of polymer CNT nanocomposites. Mater Chem Phys 206:243–250

    Google Scholar 

  52. Zare Y, Rhee KY (2018b) A power model to predict the electrical conductivity of CNT reinforced nanocomposites by considering interphase, networks and tunneling condition. Compos Part B Eng 155:11–18

    Google Scholar 

  53. Kim S, Zare Y, Garmabi H, Rhee KY (2018) Variations of tunneling properties in poly (lactic acid)(PLA)/poly (ethylene oxide)(PEO)/carbon nanotubes (CNT) nanocomposites during hydrolytic degradation. Sens Actuators A 274:28–36

    Google Scholar 

  54. Maiti S, Suin S, Shrivastava NK, Khatua B (2013) Low percolation threshold in polycarbonate/multiwalled carbon nanotubes nanocomposites through melt blending with poly (butylene terephthalate). J Appl Polym Sci 130:543–553

    Google Scholar 

Download references

Acknowledgements

This work was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (project number: 2020R1A2B5B02002203).

Funding

No funding.

Author information

Authors and Affiliations

  1. Biomaterials and Tissue Engineering Research Group, Department of Interdisciplinary Technologies, Breast Cancer Research Center, Motamed Cancer Institute, ACECR, Tehran, Iran

    Yasser Zare

  2. Department of Mechanical Engineering, College of Engineering, Kyung Hee University, Yongin, 446-701, Republic of Korea

    Kyong Yop Rhee

Authors
  1. Yasser Zare
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kyong Yop Rhee
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kyong Yop Rhee.

Ethics declarations

Conflict of interest

The authors declare that they have no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zare, Y., Rhee, K.Y. Advancement of a model for electrical conductivity of polymer nanocomposites reinforced with carbon nanotubes by a known model for thermal conductivity. Engineering with Computers 38, 2497–2507 (2022). https://doi.org/10.1007/s00366-020-01220-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00366-020-01220-7

Keywords

Search

Navigation