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Nonlinear waves in two-phase piezoelectric powders

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References

  1. A.N. Guz’,Elastic Waves in Bodies with Initial Stresses [in Russian], Nauk. Dumka, Kiev (1986).

    Google Scholar 

  2. L. K. Zarembo and V. A. Krasil’nikov,Introduction to Nonlinear Acoustics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. G. M. Zaslavskii and R. Z. Sagdeev,Introduction to Nonlinear Physics. From the Pendulum to Turbulence and Chaos [in Russian], Nauka, Moscow (1988).

    MATH  Google Scholar 

  4. V. V. Krylov and V. A. Krasil’nikov,Introduction to Physical Acoustics [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  5. M. I. Rabinovich and D. I. Trubetskov,Introduction to the Theory of Vibrations and Waves [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  6. Ya. Ya. Rushchitskii,Elements of the Theory of Mixtures [in Russian], Nauk. Dumka, Kiev (1991).

    Google Scholar 

  7. Ya Ya. Rushchitskii and I. M. Khotenko, “Linear vibrations in two-phase mixtures,”Dopov. Nats. Akad. Nauk Ukr., No. 3, 41–43 (1995).

    Google Scholar 

  8. Ya. Ya. Rushchitskii, “Waves and the direct piezoelectric effect in two-phase piezoelectric materials,”Prikl. Mekh.,32, No. 10, 42–48 (1995).

    Google Scholar 

  9. Ya. Ya. Rushchitskii, “Nonlinear waves in solid mixtures,”Prikl. Mekh.,33, No. 1, 3–38 (1997).

    Google Scholar 

  10. I. T. Selezov and S. V. Korsunskii,Traveling and Nonlinear Waves in Electrical Conductors [in Russian], Nauk. Dumka, Kiev (1991).

    Google Scholar 

  11. A. P. Sukhorukov,Nonlinear Wave Interactions in Optics and Radiophysics [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  12. E. Dieulesaint and D. Royer,Onde Elastiques dans les Solides. Application au Traitement du Signal, Masson et Cie, Paris (1974).

    Google Scholar 

  13. G. A. Maugin,Nonlinear Electromechanical Effects and Applications, Academic Press, New York (1985).

    Google Scholar 

  14. G. A. Maugin,Continuum Mechanics of Electromagnetic Solids, North-Holland, Amsterdam, New York (1988).

    MATH  Google Scholar 

  15. G. A. Maugin, B. Collett, and J. Pouget, “Nonlinear wave propagation in coupled electro-mechanical systems,” in:Nonlinear Wave Propagation, ASME Publications, New York (1986).

    Google Scholar 

  16. G. A. Maugin and A. C. Eringen, “On the equations of the electrodynamics of deformable bodies of finite extent,”J. Mech.,16, No. 1, 101–147 (1977).

    MATH  Google Scholar 

  17. M. Planat, G. Vanderborck, H. Gautier, and C. Marsfeld, “Linear and nonlinear analysis of a piezoelectric wave guide convolver using a finite element method,” Proceedings of the IEEE Ultrasonics Symposium (1982), p. 166.

  18. F. Prechtl, “Electroelasticity with small deformations,”Z Angew. Math. Mech.,63, 419–424 (1983).

    MATH  Google Scholar 

  19. J. Rushchitsky, “Lax-Nelson problem on the direct piezoelectric effect in two-phase materials,”Z. Angew. Math. Mech.,76, Supplement 2, 663–664 (1996).

    MATH  Google Scholar 

  20. H. F. Tiersten, “On the nonlinear equations of thermoelectroelasticity,”Int. J. Eng. Sci.,9, 587–604 (1971).

    Article  Google Scholar 

  21. H. F. Tiersten, “Analysis of intermodulation in thickness-shear trapped energy resonators,”J. Acoust. Soc. Am.,57, 667–675 (1975).

    Article  ADS  Google Scholar 

  22. H. F. Tiersten, “Analysis of nonlinear resonance in thickness-shear and trapped energy resonators,”J. Acoust. Soc. Am.,59, 866–875 (1976).

    Article  MATH  ADS  Google Scholar 

  23. H. F. Tiersten, “Electroacoustic interactions and the piezoelectric equations,”J. Acoust. Soc. Am.,70, 1567–1576 (1981).

    Article  MATH  ADS  Google Scholar 

  24. H. F. Tiersten, “Electric fields, deformable semiconductors and piezoelectric devices,” in:The Mechanical Behavior of Electromagnetic Solid Continua, North-Holland, Amsterdam (1984), pp. 99–114.

    Google Scholar 

  25. C. Truesdell,A First Course in Rational Continuum Mechanics, Johns Hopkins University Press, Baltimore, Maryland (1975).

    MATH  Google Scholar 

  26. J. Whitham,Linear and Nonlinear Waves, Wiley Interscience, New York (1974).

    MATH  Google Scholar 

  27. A. Yariv,Quantum Electronics, John Wiley & Sons, Inc., New York (1967).

    Google Scholar 

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Rushchitskii, Y.Y., Khotenko, L.N. Nonlinear waves in two-phase piezoelectric powders. Int Appl Mech 34, 746–754 (1998). https://doi.org/10.1007/BF02702129

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