On the use of homogenization theory to design optimal piezocomposites for hydrophone applications

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 5, 1997, Pages 689-708

  Gibiansky, L V ^a   Torquato, S ^a  

^a Princeton University   (United States)

Author keywords

A. electromechanical processes; B. anisotropic material; B. piezoelectric material; C. homogenization; C. optimization

Indexed keywords

ANISOTROPY; OPTIMIZATION; PIEZOELECTRIC MATERIALS; POLYMERS; VOLUME FRACTION;

ELECTROMECHANICAL PROCESSES; HOMOGENIZATION;

HYDROPHONES;

EID: 0031139852     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(96)00106-8     Document Type: Article

References (19)

1. Avellaneda, M. and Swart, P. J. (1994) Calculating the performance of 1-3 piezocompositcs for hydrophone applications: an effective medium approach. Working paper. Courant Institute of Mathematical Sciences.
2. Chan, H. W. W. and Unsworth, J. (1989) Simple model for piezoelectric ceramic/polymer 1-3 composites used in ultrasonic transducer applications. IEEE Tran. Ultrason. Ferro. Freq. Control 36, 434-441.
3. Christensen, R. M. (1979) Mechanics of Composite Materials. Wiley Interscience, NY.
4. Hashin, Z. (1965) On elastic behavior of fibre reinforced materials of arbitrary transverse phase geometry. J. Mech. Phys. Solid 13, 119-134.
5. Haun, M. J. and Newnham, R. E. (1986) An experimental and theoretical study of 1-3 and 1-3-0 piezoelectric PZT-polymer composites for hydrophone applications. Ferroelec. 68, 123-139.
6. Klicker, K. A., Biggers, J. V. and Newnham, R. E. (1981) Composites of PZT and epoxy for hydrostatic transducer applications. J. Am. Ceram. Soc. 64, 5-9.
7. Lakes, R. (1987) Foam structures with a negative Poisson's ratio. Science 235, 1038-1040.
8. c 1981-1992 by the University of Waterloo.
9. Milton, G. M. and Cherkaev, A. V. (1995a) Which elasticity tensors are realizable? J. Engng Mater. Tech. 117, 483-493.
10. Milton, G. M. and Cherkaev, A. V. (1995b) private communication.
11. Newnham, R. E. (1986) Composite electroceramics. Ferroelec. 68, 1-32.
12. Newnham, R. E. and Ruschau, G. R. (1991) Smart electroceramics. J. Am. Ceram. Soc. 74, 463-480.
13. Sigmund, O., Torquato, S. and Aksay, I. A. (1996) On the design of 1-3 piezocomposites using topology optimization, in preparation.
14. Smith, W. A. (1991) Optimizing electromechanical coupling in piezocomposites using polymers with negative Poisson's ratio. Proc. 1991 IEEE Ultrason. Symp., 661-666.
15. Smith, W. A. (1993) Modeling 1-3 composite piezoelectrics: hydrostatic response. IEEE Tran. Ultrason. Ferro. Freq. Control 40, 41-49.
16. Ting, R., Y., Shalov, A. A. and Smith, W. A. (1990) Piezoelectric properties of 1-3 composites in calcium-modified lead titanate in epoxy resins. Proc. 1990 IEEE Ultrason. Symp., 707-710.
17. Vigdergauz, S. B. (1989) Regular structures with extremal elastic properties. Mech. Solids 24, 57-63.
18. Vigdergauz, S. B. (1994). Two-dimensional grained composites of extreme rigidity. J. Appl. Mech. 3, 390-394.
19. Vigdergauz, S. B. (1996) private communication.