Skip to main content
Log in

Electro-thermo-mechanical coupling in carbon fiber polymer matrix composites

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

Field coupling in electric-current-carrying composites is studied. Governing equations describing electromagnetic, thermal, and mechanical field interactions in anisotropic materials and a corresponding two-dimensional approximation for transversely isotropic plates are discussed. A problem of electric current–induced heating and the associated thermal stresses in the electrified carbon fiber polymer matrix composite plate is considered. A closed-form solution for the temperature distribution is obtained. It is shown that application of the electric current leads to a significant temperature gradient across the plate. This, in turn, results in a considerable rise of the in-plane compressive stresses in the direction transverse to the direction of the applied current.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Maugin G.A.: Continuum Mechanics of Electromagnetic Solids. North-Holland, Amsterdam (1988)

    MATH  Google Scholar 

  2. Moon F.C.: Magnetosolid Mechanics. Wiley, New York (1984)

    Google Scholar 

  3. Parkus H.: Magneto-Thermoelasticity. Springer, Wien (1972)

    MATH  Google Scholar 

  4. Ambartsumyan S.A., Belubekyan M.B., Bagdasaryan G.E.: Magnetoelasticity of Thin Shells and Plates. Nauka, Moscow (1977)

    Google Scholar 

  5. Ulitko A.F., Molchenko L.V., Kovalchuk V.F.: Magnetoelasticity of Dynamic Loading. Lybid, Kiev (1994)

    Google Scholar 

  6. Green A.E., Naghdi P.M.: Electromagnetic effects in the theory of shells and plates. Philos. Transact. R. Soc. A Phys. Math. Eng. Sci. 309, 559–610 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  7. Guenneau S., Movchan A., Poulton C., Nicolet A.: Coupling between electromagnetic and mechanical vibrations of thin-walled structures. Q. J. Mech. Appl. Math. 57, 407–428 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  8. Hasanyan D.J., Piliposyan G.T.: Modelling and stability of magnetosoft ferromagnetic plates in a magnetic field. Proc. R. Soc. A 457, 2063–2077 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  9. Rudnicki M.: Eigenvalue solutions for free motion of electroconductive plate in magnetic field. Int. J. Eng. Sci. 40, 93–107 (2002)

    Article  Google Scholar 

  10. Librescu L., Hasanyan D., Qin Z., Ambur D.R.: Nonlinear magnetothermoelasticity of anisotropic plates immersed in a magnetic field. J. Therm. Stress. 26, 1277–1304 (2003)

    Article  Google Scholar 

  11. Qin Z., Hasanyan D., Librescu L., Ambur D.R.: Magneto-thermo-elastokinetics of geometrically nonlinear laminated composite plates. Part 2: vibration and wave propagation. J. Sound Vib. 287, 177–201 (2005)

    Article  Google Scholar 

  12. Dai H.L., Wang X.: Magnetoelastodynamic stress and perturbation of magnetic field vector in an orthotropic laminated hollow cylinder. Int. J. Eng. Sci. 44, 365–378 (2006)

    Article  Google Scholar 

  13. Telitchev I.Y., Sierakowski R.L., Zhupanska O.I.: Low velocity impact testing of electrified composites; part I. Application of electric current. Exp. Tech. 32, 35–38 (2008)

    Article  Google Scholar 

  14. Telitchev I.Y., Sierakowski R.L., Zhupanska O.I.: Low velocity impact testing of electrified composites; part II. Experimental setup and preliminary results. Exp. Tech. 32, 53–57 (2008)

    Article  Google Scholar 

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

    Article  Google Scholar 

  16. Zhupanska O.I., Sierakowski R.L.: Effects of an electromagnetic field on the mechanical response of composites. J. Compos. Mater. 41, 633–652 (2007)

    Article  Google Scholar 

  17. Ambartsumyan S.A.: Theory of Anisotropic Plates. Technomic, Stanford (1970)

    Google Scholar 

  18. Holm R.: Electric Contacts: Theory and Applications. Springer, New York (1967)

    Google Scholar 

  19. Kalogiannakis G., van Hemelrijck D., van Assche G.: Measurements of thermal properties of carbon/epoxy and glass/epoxy using modulated temperature differential scanning calorimetry. J. Compos. Mater. 38, 163–175 (2004)

    Article  Google Scholar 

  20. Menousek, J.F., Monin, D.L.: Thermal Modelling of Graphite Epoxy. NWC Technical Memorandum Report 3834. Naval Weapons Center, Chana Lake, CA (1979)

  21. Khalili S.M.R., Mittal R.K., Panah N.M.: Analysis of fiber reinforced composite plates subjected to transverse impact in the presence of initial stresses. Compos. Struct. 77, 263–268 (2007)

    Article  Google Scholar 

  22. Sun C.T., Chen J.K.: On the impact of initially stressed composite laminates. J. Compos. Mater. 19, 490–504 (1985)

    Article  Google Scholar 

  23. Whittingham B., Marshall I.H., Mitrevski T., Jones R.: The response of composite structures with pre-stress subject to low velocity impact damage. Compos. Struct. 66, 685–698 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Olesya I. Zhupanska.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhupanska, O.I., Sierakowski, R.L. Electro-thermo-mechanical coupling in carbon fiber polymer matrix composites. Acta Mech 218, 319–332 (2011). https://doi.org/10.1007/s00707-010-0427-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-010-0427-1

Keywords

Navigation