Skip to main content

AFCs: Active-Stress vs. Active-Strain Modeling

  • Chapter
  • 1069 Accesses

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 50))

Abstract

Active Fiber-reinforced Composites are artificial bodies consisting of one or more layers of parallel ceramic fibers embedded in a polymer matrix. In this paper we propose a mathematical model for their constitutive response by importing certain concepts from the modeling of fibrous living tissues and by regarding an AFC as a special piezoelectric material body whose stored energy is a weighted sum of the stored energies of fibers and matrix.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
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. Cherubini, C., Filippi, S., Nardinocchi, P., Teresi, L.: An Electromechanical Model of Cardiac Tissue: Constitutive Issues and Electrophysiological Effects. Progr. Biophys. Mol. Biol. (2008) (to appear)

    Google Scholar 

  2. Hunter, P.J., McCulloch, A.D., ter Keurs, H.E.D.J.: Modelling the mechanical properties of cardiac muscle. Progr. Biophys. Mol. Biol. 69, 289–331 (1998)

    Article  Google Scholar 

  3. Ikeda, T.: Fundamentals of Piezoelectricity. Oxford University Press, New York (1990)

    Google Scholar 

  4. Melnykowyczl, M., Kornmann, X., Huber, C., Barbezat, M., Brunner, A.J.: Performances of integrated active fiber composites in fiber reinforced epoxy laminates. Smart Mater. Struct. 15, 204–212 (2006)

    Article  Google Scholar 

  5. Merodio, J., Ogden, R.W.: Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. Int. J. Non-Lin. Mech. 40, 213–227 (2005)

    Article  MATH  Google Scholar 

  6. Nardinocchi, P., Teresi, L.: On the active response of soft living tissues. J. Elasticity 88, 27–39 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. Podio-Guidugli, P.: A Primer in Elasticity. Kluwer, Dordrecht (2000)

    MATH  Google Scholar 

  8. Rossetti, G.A., Pizzochero, A., Bent, A.A.: Recent Advances in Active Fiber Composite Technology, pp. 753–756. IEEE, Los Alamitos (2001)

    Google Scholar 

  9. Spencer, A.J.M.: Continuum Theory of the Mechanics of Fibre-Reinforced Composites. Springer, Wien (1984)

    MATH  Google Scholar 

  10. Stålhand, J., Klarbring, A., Holzapfel, G.A.: Smooth muscle contraction: Mechanochemical formulation for homogeneous finite strains. Progr. Biophys. Mol. Biol. 96, 465–481 (2008)

    Article  Google Scholar 

  11. Tiersten, H.F.: Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)

    Google Scholar 

  12. Wickramasinghe, V.K., Hagood, N.W.: Material characterization of active fiber composites for integral twist-actuated rotor blade application. Smart Mater. Struct. 13, 1155–1165 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Nardinocchi, P., Podio-Guidugli, P. (2010). AFCs: Active-Stress vs. Active-Strain Modeling. In: Ganghoffer, JF., Pastrone, F. (eds) Mechanics of Microstructured Solids 2. Lecture Notes in Applied and Computational Mechanics, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05171-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-05171-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05170-8

  • Online ISBN: 978-3-642-05171-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics