Theoretical and Computer Modeling of Nonlinear Deformed Piezoelectric Powders

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 1, Issue 3, 2000, Pages 167-178

  Rushchitsky, Jeremiah J ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Computer modeling; Generation of new waves; Nonlinear waves; Piezoelectric powders

Indexed keywords

EID: 0034550605     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. Balakirev, M.K., Gilinskii, I.A. Waves in piezocrystals, Moscow, Nauka, 1982.
2. Bedford, A., Stern, M. Toward a diffusing continuum theory of composite materials, Trans. ASME. J.Appl.Mech. 38 (1), (1971), 8-14.
3. Bedford, A., Stern, M. A multi-continuum theory for composite elastic materials, Acta Mechanica, 14(1), (1972), 85-102.
4. Bedford A., Drumheller D.S. ,Sutherland H.J. On modelling the dynamics of composite materials, In: Nemat-Nasser, S. Mechanics Today. Vol.3. Pergamon Press, (1976), 1-54.
5. Bedford, A., Drumheller, D.S. Theories of immiscible and structured mixtures, Int.J.Eng.Sci., 21(8), (1983), 863-960.
6. Composite materials, Ed. Broutman, L.J., and Krock, R.H., Vol 8, Academic Press, 1974.
7. Dieulesaint, E., Royer, D. Ondes elastiques dans les solides. Application au traitement du signal, Masson et Cie, 1974.
8. Grinchenko, V.T., Ulitko, A.F., Shulga, M.O. Electroelasticity. V.5., Naukova Dumka, 1989.
9. Kessel, A.P., Zeldovich, S.A., Gurevich, I.L. Theory of the electroacoustical echoes in piczoele-citric powders, Physics of Solid Bodies, 18(3), (1976), 826-831.
10. Krainik, .N., Lemanov, V.V., Popov, S.N., Smolenskii, G.A. Fonon echoes in crystallic powders, Physics of Solid Bodies, 17(9), (1975), 2462-2464.
11. Krylov, V.V., Krasilnikov, V.A. Introduction to physical acoustics, Nauka, (1986).
12. Lempriere, B. On practicability of analyzing waves in composites by the theory of mixtures, Lockheed Palo Alto Research Laboratory, Report No.LNSC-6-78-69-21, (1969), 76-90.
13. Lempriere B. The practicability of analyzing waves in composites by the theory of mixtures, Colloquium on Dynamic Behaviour of Composite Materials (abstract only), Univ. of California, San Diego, (1969), 84-85.
14. Maugin, G.A., Collet, B., and Pouget, J., Nonlinear wave propagation in coupled electromechanical systems, In Nonlinear Wave Propagation, Ed. Wright, T.W., ASME Publications, New York, 1986.
15. Maugin, G.A. Continuum Mechanics of Electromagnetic Solids, North Holland, Amsterdam, 1988.
16. Maugin, G.A., and Eringen, A.C. On the equations of the electrodynamics of deformable bodies of finite extent, Journal de Mechanique, 16(1), (1977), 101-147.
17. McNiven, H.D., Mengi, Y. A mathematical model for the linear dynamic behaviour of two-phase periodic materials, Int.J.Solids and Struct.,15 (4), (1979), 271-280.
18. McNiven, H.D., Mengi, Y. A mixture theory for elastic laminated composites, Int.J.Solids and Struct., 15(4), (1979), 281-302.
19. McNiven, H.D., Mengi, Y. Propagation of transient waves in elastic laminated composites, Int.J.Solids and Struct., 15(4), (1979), 303-318.
20. Mechanics of composites, In 12 vol, Ed. Guz, A.N., Naukova Dumka - Institute of Mechanics, Kiev, 1993-2000.
21. Popov, S.N., Krainik, N.N., Smolenskii, G.A. Three-pulse electroacoustical echoes in the conditions of an acoustical resonance, Zhurnal of Experim. and Theoret. Physics, 69(3), (1975), 974-978.
22. Pouget, J., Electro-acoustic echoes in piezoelectric powders, In The Mechanical Behaviour of Electromagnetic Solid Continuums, Ed. Vaugin, G.A., Proceedings of the IUTAM-IU-PAP Symposium (Paris, 1983) North-Holland, Amsterdam, (1983), 177-184.
23. Rushchitsky, J.J., About one case of the propagation of waves in mixtures of elastic materials, Intern. Appl. Mech. 14 (1), (1978), 25-33.
24. Rushchitsky, J.J., Elements of the mixture theory, Naukova Dumka, 1991.
25. Rushchitsky, J.J., Tsurpal, S.I. Waves in materials with the microsftructure, Institute of Mechanics, Kiev, 1998.
26. Rushchitsky, J.J., Interaction of waves in solid mixtures, Applied Mechanics Reviews, 52(2), (1999), 35-74.
27. Tiersten, H.F. Analysis of intermodulation in thickness-shear trapped energy resonators, J. Acoust.Soc.America, 57, (1975), 667-675.
28. Tiersten, H.F. Analysis of nonlinear resonance in thickness-shear and trapped energy resonators, J.Acoust.Soc.America, 59, (1976), 866-875.
29. Tiersten, H.F. Electroacoustic interactions and the piezoelectric equations, J. Acoust. Soc. America, 70, (1981), 1567-1576.
30. Tiersten, H.F. Electric fields, deformable semi-conductors and piezoelectric devices, In: The mechanical behavior of electromagnetic solid continua. Ed. Maugin, G.A., North-Holland, (1984), 99-114.
31. Zarembo, L.K., Krasilnikov, V.A. Introduction to nonlinear acoustics, Moscow, Nauka, (1966).