Skip to main content
SpringerLink
Log in

Analysis Model and Numerical Simulation of Thermoelectric Response of CFRP Composites

  • Published:
Applied Composite Materials Aims and scope Submit manuscript

Abstract

An electric current generates Joule heating, and under steady state conditions, a sample exhibits a balance between the strength dissipated by the Joule effect and the heat exchange with the environment by radiation and convection. In the present paper, theoretical model, numerical FEM and experimental methods have been used to analyze the radiation and free convection properties in CFRP composite samples heated by an electric current. The materials employed in these samples have applications in many aeronautic devices. This study addresses two types of composite materials, UD [0]8 and QI [45/90/−45/0]S, which were prepared for thermoelectric experiments. A DC electric current (ranging from 1A to 8A) was injected through the specimen ends to find the coupling effect between the electric current and temperature. An FE model and simplified thermoelectric analysis model are presented in detail to represent the thermoelectric data. These are compared with the experimental results. All of the test equipments used to obtain the experimental data and the numerical simulations are characterized, and we find that the numerical simulations correspond well with the experiments. The temperature of the surface of the specimen is almost proportional to the electric current. The simplified analysis model was used to calculate the balance time of the temperature, which is consistent throughout all of the experimental investigations.

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
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Abbreviations

ᅟc p :

Specific heat capacity (J/kg.K)

g :

Gravity acceleration (g=9.81 m/s2)

Gr :

Average Grashof number

Gr x :

Local Grashof number at height x

h x :

Local heat transfer coefficient (W / m2.K)

I :

Electric current intensity (A)

k :

Thermal conductivity (W/m.K)

Nu :

Average Nusselt number

Nu x :

Local Nusselt number at position x

Pr:

Average Prandtl number

Prx :

Local Prandtl number at position x

Ra :

Average Rayleigh number

Ra x :

Local Rayleigh number at position x

R :

Electric resistance (Ω)

S :

Area of plate (m2)

q :

Heat flow rate (W)

q ' :

Heat flow rate per unit length (W/m)

q " :

Heat flux (W/m2)

t :

Time (s)

T :

Temperature (K)

U :

Electric voltage (V)

u 0 :

Velocity of air (m/s)

x :

Coordinate from the base of the plate (m)

y :

Coordinate normal to the plate(m)

α :

Fluid thermal diffusivity(m2/s)

β :

Fluid thermal expansion rate(1/K)

δ :

Thickness of air film (m)

ε :

Surface emissivity

μ :

Dynamic viscosity (kg/m.s)

ρ :

Density (kg/m3)

σ E :

Electrical conductivity(S/m)

σ :

Stefan-Boltzmann constant 5.67 × 10–8 W/m2.K4

λ :

Thermal conductivity (W/m.K)

elec:

Electric

conv:

Convection

rad:

Radiation

paroi:

Surface of plate

amb:

Ambient

t:

Total

References

  1. Schulte, K., Baron, C.: Load and failure analysis of CFRP laminates by means of electrical resistively measurements. Comp. Sci. Techno. 36, 63–76 (1989)

    Article  Google Scholar 

  2. Schulte, K., Wittich, H.: The electrical response of strained and or damaged polymer-matrix composites. Proceeding of ICCM-10th. V. Structures; Canada.. pp. 349–356 (1995)

  3. Xia, Z.H., Okabe, T., Park, J.B., Curtin, W.A., Takeda, N.: Quantitative damage detection in CFRP composites: coupled mechanical and electrical models. Compo. Sci. Technol. 63, 1411–1422 (2003)

    Article  Google Scholar 

  4. Curtin, W.A.: Stochastic damage evolution and failure in fiber-reinforced composites. Adv. Appl. Mech. 36, 162–253 (2000)

    Google Scholar 

  5. Vavouliotis, A.P., Kostopoulos, V.: On the fatigue life prediction of CFRP laminates using the electrical resistance change method. Compos. Sci. Technol. 71, 630–642 (2011)

    Article  Google Scholar 

  6. Sierakowski, R.L., Telitchev, Y.I., Zhupanska, O.I.: On the impact response of electrified carbon fiber polymer matrix composites: effects of electric current intensity and duration. J. Compos. Sci. Technol. 68, 639–649 (2008)

    Article  Google Scholar 

  7. Snyder, D.R., Sierakowski, R.L., Chenette, E.R., Aus, J.W.: Preliminary assessment of electro-thermo-magnetically loaded composite panel impact resistance/crack propagation with high speed digital laser photography. In: 24th International congress on high-speed photography and photonics, Proceedings of SPIE, vol. 4183; p. 488–513 (2001)

  8. Lipton, R.: Inequalities for electric and elastic polarization tensors with application to random composites. J. Mech. Phys. Solids. 41, 809–833 (1993)

    Article  Google Scholar 

  9. Gigliotti, M., Lafarie, M.C., Grandidier, J.C.: Development of experimental and modeling tools for the characterization of the thermo-electro-mechanical behavior of composite materials for aircraft applications. Mec. Ind. 12, 87–101 (2011)

    Google Scholar 

  10. Gigliotti, M., Grandidier, J.C., Lafarie-Frenot, M.C., Marchand, D.: Development of experimental and modelling tools for electro-mechanical fatigue tests in composite materials for aircraft applications. The 14th European Conference on Composite Materials, (2010)

  11. Lin, Y., Gigliotti, M., Lafarie-Frenot, M.C., Bai, J.: Effect of carbon nanotubes on the thermoelectric properties of CFRP laminate for aircraft applications. J. Reinf. Plast. Compos. 34(2), 173–184 (2015)

    Article  Google Scholar 

  12. Lux, F.: Models proposed to explain the electrical conductivity of mixtures made of conductive and insulating materials. J. Mater. Sci. 28, 285–301 (1993)

    Article  Google Scholar 

Download references

Acknowledgements

All partners of the research are gratefully acknowledged and some supports from CAUC Tianjin are gratefully acknowledged (Projects of CAUC:2016SYCX04, and MHRD20160105).

Author information

Authors and Affiliations

  1. Department of Designs and Manufactures of Aircrafts, Civil Aviation University of China, CAUC - 2898, Road Jinbei, District Dongli, Tianjin, 300300, China

    Yueguo Lin

Authors
  1. Yueguo Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yueguo Lin.

Additional information

Support foundation

Research project of CAUC (2016SYCX04, MHRD20160105)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lin, Y. Analysis Model and Numerical Simulation of Thermoelectric Response of CFRP Composites. Appl Compos Mater 26, 435–454 (2019). https://doi.org/10.1007/s10443-018-9700-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10443-018-9700-6

Keywords

Search

Navigation