Skip to main content
SpringerLink
Log in

Electro-elastic analysis of fiber-reinforced multilayered cylindrical composites with integrated piezoelectric actuators

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

Based on the electro-mechanical coupling theory and the laminate elasticity theory, an electro-elastic solution is obtained for the fiber-reinforced cylindrical composites with integrated piezoelectric actuators when subjected to mechanical and electrical loadings. The hybrid composite is composed of three parts: internal piezoelectric actuator, fiber-reinforced laminated interlayer, and external piezoelectric actuator. The general solution in each piezoelectric smart layer is obtained by introducing three undetermined constants, and the general solutions in the fiber-reinforced laminated interlayer are obtained by means of the state-space method. The mechanical behaviors of the hybrid fiber-reinforced cylindrical composites are investigated. The illustrative examples show that the fiber’s angle, the stacking sequence as well as the applied electric loading strongly affect the physical fields in the fiber-reinforced multilayered cylindrical composites.

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

Similar content being viewed by others

References

  1. Jones R.M.: Mechanics of Composite Materials, 2nd Edition. Taylor & Francis, Philadelphia (1999)

    Google Scholar 

  2. Levend P., Katirci N.: Design of fiber-reinforced composite pressure vessels under various loading conditions. Compos. Struct. 58, 83–95 (2002)

    Article  Google Scholar 

  3. Jacquemin F., Vautrin A.: Analytical calculation of the transient thermoelastic stresses in thick walled composite pipes. J. Compos. Mater. 38, 1733–1751 (2004)

    Article  Google Scholar 

  4. Taciroglu E., Liu C.W.: Analysis and design of multimodal piezoelectric layered tubular sensors and actuators. Smart Mater. Struct. 14, 605–614 (2005)

    Article  Google Scholar 

  5. Chen W.Q., Lü C.F., Yang J.S., Wang J.: A circular cylindrical, radially polarized ceramic shell piezoelectric transformer. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 56, 1238–1245 (2009)

    Article  Google Scholar 

  6. Yuan F.G., Yang W., Kim H.: Analysis of axisymmetrically-loaded filament wound composite cylindrical shells. Compos. Struct. 50, 115–130 (2000)

    Article  Google Scholar 

  7. Xia M., Takayanagi H., Kemmochi K.: Analysis of multi-layered filament-wound composite pipes under internal pressure. Compos. Struct. 53, 483–491 (2001)

    Article  Google Scholar 

  8. Alibeigloo A.: Static and vibration analysis of axi-symmetric angle-ply laminated cylindrical shell using state space differential quadrature method. Int. J. Press. Vess. Pip. 86, 738–747 (2009)

    Article  Google Scholar 

  9. Bakaiyan H., Hosseini H., Ameri E.: Analysis of multi-layered filament-wound composite pipes under combined internal pressure and thermomechanical loading with thermal variations. Compos. Struct. 88, 532–541 (2009)

    Article  Google Scholar 

  10. Jabbari M., Sohrabpourb S., Eslami M.R.: Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads. Int. J. Press. Vess. Pip. 79, 493–497 (2002)

    Article  Google Scholar 

  11. Pan E., Roy A.K.: A simple plane–strain solution for functionally graded multilayered isotropic cylinders. Struct. Eng. Mech. 24, 727–740 (2006)

    Article  Google Scholar 

  12. Li X.F., Peng X.L.: A Pressurized functionally graded hollow cylinder with arbitrarily varying material properties. J. Elast. 96, 81–95 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  13. Wang H.M.: Effect of material inhomogeneity on the rotating functionally of a graded orthotropic hollow cylinder. J. Mech. Sci. Technol. 24, 1839–1844 (2010)

    Article  Google Scholar 

  14. Sburlati R.: Analytical elastic solutions for pressurized hollow cylinders with internal functionally graded coatings. Compos. Struct. 94, 3592–3600 (2012)

    Article  Google Scholar 

  15. Galic D., Horgan C.O.: Internally pressurized radially polarized piezoelectric cylinders. J. Elast. 66, 257–272 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  16. Wang H.M.: Elastic analysis of exponentially graded piezoelectric cylindrical structures as sensors and actuators. J. Mech. Sci. Technol. 26, 4047–4053 (2012)

    Article  Google Scholar 

  17. Dai H.L., Dai T., Zheng H.Y.: Stresses distributions in a rotating functionally graded piezoelectric hollow cylinder. Meccanica 47, 423–436 (2012)

    Article  MathSciNet  Google Scholar 

  18. Babaei M.H., Chen Z.T.: Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft. Arch. Appl. Mech. 78, 489–500 (2008)

    Article  MATH  Google Scholar 

  19. Li X.F., Peng X.L., Lee K.Y.: Radially polarized functionally graded piezoelectric hollow cylinders as sensors and actuators. Eur. J. Mech. A/Solids 29, 704–713 (2010)

    Article  Google Scholar 

  20. Khoshgoftar M.J., Arani A.G., Arefi M.: Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material. Smart Mater. Struct. 18, 115007 (2009)

    Article  Google Scholar 

  21. Zenkour A.M.: Piezoelectric behavior of an inhomogeneous hollow cylinder with thermal gradient. Int. J. Thermophys. 33, 1288–1301 (2012)

    Article  Google Scholar 

  22. Wang H.M., Ding H.J.: Control of stress response in a rotating infinite hollow multilayered piezoelectric cylinder. Arch. Appl. Mech. 77, 11–20 (2007)

    Article  MATH  Google Scholar 

  23. Reddy J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd Edition. CRC Press, Boca Raton (2004)

    Google Scholar 

  24. Deif A.S.: Advanced Matrix Theory for Scientists and Engineers. Abacus Press, London (1982)

    MATH  Google Scholar 

  25. Dunn M.L., Taya M.: Electroelastic field concentrations in and around inhomogeneities in piezoelectric solids. J. Appl. Mech. 61, 474–475 (1994)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Hui-Ming Wang

Authors
  1. Hui-Ming Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hui-Ming Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, HM. Electro-elastic analysis of fiber-reinforced multilayered cylindrical composites with integrated piezoelectric actuators. Arch Appl Mech 84, 491–503 (2014). https://doi.org/10.1007/s00419-013-0813-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-013-0813-y

Keywords

Search

Navigation