Skip to main content
SpringerLink
Log in
Book cover

IUTAM Symposium on Smart Structures and Structronic Systems pp 103–112Cite as

On the Analytical and Numerical Modelling of Piezoelectric Fibre Composites

  • Conference paper

  • 256 Accesses

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 89))

Abstract

Piezoelectric composites with relatively high electro-mechanical coupling have been developed in many forms [1], including piezoelectric fibres [2] or particles [3] embedded in a non-piezoelectric polymer matrix. Such ceramic / polymer composites are often a better technological solution in a lot of applications such as ultrasonic imaging, sensors, actuators and damping [4, 5, 6, 7]. The main drawback in comparison to bulk piezoelectric materials consists in the complexity in design and analysis. This is essentially due to the coupled electrostatic behaviour, the highly different phase properties and the relatively complex geometry of the materials with its electrodes. Nevertheless, an increasingly amount of modelling works has been directed towards the study of these new smart materials. It should help in designing optimally the composite for each type of application.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Newnham, R.E. et al, Connectivity and piezoelectric-pyroelectric composites, Mat. Res. Bull., 1978, Vol. 13, pp. 525–536.

    Article  Google Scholar 

  2. Sporn, D. et al, Smart Structures by Integration of Piezoelectric Fibres-Present State and Future Applications, 9th CIMTEC (invited lecture), Florence, June 14–19 1998.

    Google Scholar 

  3. Erba, F., Thiebaud, F., Perreux, D., Elaboration de piézocomposites à connectivité 0–3 par centrifugation, Revue des composites et des matériaux avancés, ed. Hermès, to be published.

    Google Scholar 

  4. Challande, P., Optimising ultrasonic transducers based on piezoelectric composite using a finite element method, IEEE Trans, of Ultr., Fer. and Freq. Control, 1990, Vol. 37, 2, pp. 135–140.

    Article  Google Scholar 

  5. Gaudenzi, P., On the electromechanical response of active composite materials with piezoelectric inclusions, Computers and Structures, 1997, Vol. 65, no2, pp. 157–168.

    Article  MATH  Google Scholar 

  6. Bent, A. A. et al., Anisotropic actuation with piezoelectric fiber composites, Journal of Intelligent Material Systems and Structures, 1990, Vol. 6, pp. 338–349.

    Article  Google Scholar 

  7. Lesieutre, G. A. et al., Damped structural composite material using resistively shunted piezoelectric ceramic short fibers, AIAA Journal, 1993, pp. 3238–3243.

    Google Scholar 

  8. Dceda, T., Fundamentals of piezoelectricity, Oxford University Press, 1996, 263 p.

    Google Scholar 

  9. Poizat, Ch., Sester, M., Effective properties of composites with embedded piezoelectric fibres, Computational Materials Science, 1999, Vol. 16, no1–4, pp. 89–97.

    Article  Google Scholar 

  10. Poizat, Ch, Modélisation numérique de matériaux et structures composites à fibres piézoélectriques, PhD, Université de Technologie de Troyes (UTT, F) march 2000.

    Google Scholar 

  11. Mura, T., Micromechanics of Defects in Solids, Martinos Nijhoff Publishers, 1987.

    Google Scholar 

  12. Suquet, P., Continuum Micromechanics. CISM courses Nb. 377, Springer Verlag, 1997, 347 p.

    Google Scholar 

  13. Sester, M., Poizat, Ch., Simulation Techniques for Piezoelectric Composite Materials and Their Applications to Smart Structures, SPIE’s 7th International Symposium on Smart Structures and Materials, Session 16-A, Modeling and Control, 5–9 march 2000, Newport Beach, California, USA.

    Google Scholar 

  14. Peyroux, R., Modélisation du comportement élastique de matériaux composites à fibres courtes, Revue des composites et matériaux avancés, 1992, Vol. 2, no1, pp. 55–78.

    Google Scholar 

  15. Neelakanta P. S., Handbook of electromagnetic materials, Boca Raton, CRC Press, 1995,231 p.

    Google Scholar 

  16. Sareni, B. et al., Effective dielectric constant of periodic composite materials, J. Appl. Phys., 1996,Vol. 80, no3, pp. 1688–1696.

    Article  Google Scholar 

  17. Dunn, M. L.; Taya M., Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites, Int. J. of Solids and Structures, 1993, Vol. 30, no2, pp. 161–175.

    Article  MATH  Google Scholar 

  18. Dunn, M. L.; Taya, M., An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities, Proc. R. Soc. Lond., 1993,443, pp. 265–287.

    Article  MATH  Google Scholar 

  19. Levin, V.M., Rakovskaya, M.I. et Kreher, W.S., The effective thermo-electroelastic properties of microinhomogeneous materials, Int. J. Solids Structures, 36, 1999, pp. 2683–2705.

    Article  MATH  Google Scholar 

  20. Eshelby, J.D., The determination of the elastic field of an ellipsoidal inclusion and related problems, 1957, Proc. Roy. Soc, A271, pp. 376–396.

    MathSciNet  Google Scholar 

  21. Willis, J.R., Bounds and self consistent estimates for the overall moduli of anisotropic composites, J. Mech. Phys. Solids, 1977, 25, pp. 185–202.

    Article  MATH  Google Scholar 

  22. Ponte Castañeda, P., Willis, J.R., The effect of spatial distribution on the effective behaviour of composite materials and cracked media. J. Mech. Phys. Solids, Vol. 43, 12, pp. 1919–1951, 1995.

    Article  MathSciNet  MATH  Google Scholar 

  23. Furukawa, T. et al., Electromechanical properties in the composites of epoxy resin and PZT ceramics, Jap. J. Appl. Phys., 1976, Vol. 15, pp. 2119–2129.

    Article  Google Scholar 

  24. Pastor, J., Homogenisation of linear piezoelectric media, Mechanics Research Communication, 1997, Vol. 24, no2,pp. 145–150.

    Article  MathSciNet  MATH  Google Scholar 

  25. Bowen C.R. et al., Analytical and numerical modelling of 3–3 piezoelectric composites, Proc. of the ISIF’ 2000 conference, 12–15 march 2000, Aachen, Germany, to be published.

    Google Scholar 

  26. Poizat Ch., Sester M., Thielicke B., Modelling of composites with embedded piezofibers, pp. 137–146. In Gabbert U., Modelling and Control of Adaptive Mechanical Structures, Fortsch.-Ber., VDI Reihe 11 Nr. 268. Düsseldorf: VDI Verlag 1998, Euromech 373 Colloquium, Magdeburg (D), 1998, 468 p.

    Google Scholar 

  27. Kuna, M., et al.., Finite element modelling of adaptive composites with integrated piezoelectric fibres, “FE applications for adaptive structural systems’, NAFEMS, Magdeburg (D), 1998.

    Google Scholar 

  28. Ghandi, K., Hagood, N.W., A hybrid finite element model for phase transitions in nonlinear electromechanically coupled material, SPIE Paper no3039-ll, SPEE’s 4th Annual Symposium on Smart Structures and Materials, San Diego, CA, 1997.

    Google Scholar 

  29. CeramTec AG., “Piezoelektrische Bauteile”, CeramTec AG, 1998, pp. 1–32.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fraunhofer Institut für Werkstoffmechanik, Wöhlerstraße 11–13, D-79108, Freiburg

    M. Sester

  2. SENSTRONIC, F Wöhlerstraße 11–13, D-79108, Freiburg

    Ch. Poizat

Authors
  1. M. Sester
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ch. Poizat
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Otto-Von-Guericke-Universität Magdeburg, Germany

    U. Gabbert

  2. University of Kentucky, Lexington, USA

    H. S. Tzou

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Sester, M., Poizat, C. (2001). On the Analytical and Numerical Modelling of Piezoelectric Fibre Composites. In: Gabbert, U., Tzou, H.S. (eds) IUTAM Symposium on Smart Structures and Structronic Systems. Solid Mechanics and Its Applications, vol 89. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0724-5_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0724-5_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3836-2

  • Online ISBN: 978-94-010-0724-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation