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Acta Mechanica Solida Sinica

, Volume 20, Issue 3, pp 219–227 | Cite as

Some problems in electrostrictive and magnetostrictive materials

  • Zhen-Bang Kuang
Article

Abstract

Some of the previous theories in the electrostrictive and magnetostrictive materials and their differences are discussed in this paper. A variational principle in the general thermodynamic sense is given and the governing equations can be derived from this principle. Illustrational examples are given.

Key words

electrostrictive and magnetostrictive materials energy variational principle governing equation electromagnetive ponderomotive force 

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References

  1. [1]
    Stratton, J.A., Electromagnetic Theory. New York: McGraw-Hill, 1941.zbMATHGoogle Scholar
  2. [2]
    Landau, L.D. and Lifshitz, E.M., Electrodynamics of Continuum Media. Oxford: Pergamon Press, 1960.zbMATHGoogle Scholar
  3. [3]
    Shkel, Y.M. and Klingenberg, D.J., Material parameters for electrostriction. Journal of Applied Physics, 1966, 80: 4566–4571.CrossRefGoogle Scholar
  4. [4]
    Pao, Y.H., Electromagnetic force in deformable continua. Nemat-Nasser, Mechanics Today. Printed in Great Britain by Pitman. Bath, 1978.Google Scholar
  5. [5]
    Zhang, Q.M. et al., An experimental investigation of electromechanical responses in a polyurethane elastomer. Journal of Applied Physics, 1997, 81: 2770–2776.CrossRefGoogle Scholar
  6. [6]
    Knops, R.J., Two-dimensional electrostriction. The Quarterly Journal of Mechanics and Applied Mathematics, 1963, 16: 377–388.MathSciNetCrossRefGoogle Scholar
  7. [7]
    Smith, T.E. and Warren, W.E., Electromagnetic force in deformable electrostriction. Journal of Mathematics and Physics, 1966, 45: 45–51. (corrigenda) 1968, 47: 109–110.CrossRefGoogle Scholar
  8. [8]
    McMeeking, R.M., On mechanical stressed at cracks in dielectrics with application to dielectric breakdown. Journal of Applied Physics, 1987, 62: 3116–3122.CrossRefGoogle Scholar
  9. [9]
    McMeeking, R.M., Electrostrictive stressed near crack-like flaws. Journal of Applied Mathematics and Physics (ZAMP), 1989, 40: 615–627.CrossRefGoogle Scholar
  10. [10]
    Guillot, F.M. and Balizer, J.E., Measurement of electrostrictive coefficients of polymer films. Journal of Acoustical Society of America, 2001, 110: 2980–2990.CrossRefGoogle Scholar
  11. [11]
    Moon, E.C., Magneto-Solid Mechanics, A Wiley-Interscience Publication. John Wiley & Sons, New York, Chichester, Brisbane, Toronto, Singapore, 1984.Google Scholar
  12. [12]
    Zhou, Y.-H. and Zheng, X.-J., A general expression of magnetic force for soft ferromagnetic plates in complex magnetic field. International Journal of Engineering Science, 1997, 35: 1405–1417.MathSciNetCrossRefGoogle Scholar
  13. [13]
    Kuang, Z.-B., Nonlinear Continuum Mechanics. Shanghai: Shanghai Jiaotong University Press, 2002 (in Chinese).Google Scholar
  14. [14]
    Kuang, Z.B. and Jiang, Q., Stress analysis in two dimensional electrostrictive material under general loading//IUTAM (Beijing, 2004) on Mechanics and Reliability of Actuating Materials, Edited By Yang, W., Springer, 2006.Google Scholar
  15. [15]
    Jiang, Q. and Kuang, Z.-B., Stress analysis in cracked infinite electrostrictive plate with local saturation electric fields. International Journal of Engineering Science, 2006, 44: 1583–1600.CrossRefGoogle Scholar
  16. [16]
    Jiang, Q. and Kuang, Z.-B., Stress analysis of electrostrictive material with an elliptic defect. Science in China (Series G), 2003, 46: 492–458.Google Scholar
  17. [17]
    Jiang, Q. and Kuang, Z.-B., Stress analysis in two dimensional electrostrictive material with an elliptic rigid conductor. European Journal of Mechanics — A/Solids, 2004, 23: 945–956.MathSciNetCrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  1. 1.Department of Engineering MechanicsShanghai Jiaotong UniversityShanghaiChina

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