Analytical expressions of effective constants for a piezoelectric composite reinforced with square cross-section fibers

Archives of Mechanics

Volumn 55, Issue 4, 2003, Pages 357-371

  Otero, J A ^a   Bravo Castillero, J ^b   Guinovart Diaz R ^b   Rodriguez Ramos R ^b   Maugin, G A ^c  

^a INSTITUTO DE CIBERNÉTICA   (Cuba)

^b UNIVERSITY OF HAVANA   (Cuba)

^c SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4944230060     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. A. A. GREKOV, S. O. KRAMAROV and A. A. KUPRIENKO, Effective properties of atransversely isotropic piezocomposite with cylindrical inclusions, Ferroelectrics, 76, 43-48, 1987.
2. Y. BENVENISTE and G. J. DVORAK, Uniform fields and universal relations in piezoelectric composites, J. Mech. Phys. Solids 40, 1295-1312, 1992.
3. F. CRACIUN, L. SORBA, E. MOLINARI and M.PAPPALARDO, A coupled-mode theory for periodic piezoelectric composites, IEEE Trans. Ultrason. Ferroelectr. and Freq. Control, 36, 50-56, 1989.
4. W. A. SMITH and B. A. AULD, Modeling 1-3 composite piezoelectrics: thickness-mode oscillations, IEEE Trans. Ultrason. Ferroelectr. and Freq. Control, 38, 40-47, 1991.
5. W. A. SMITH, Modeling 1-3 composite piezoelectrics: hydrostatic response, IEEE Trans. Ultrason. Ferroelectr. and Freq. Control, 40, 41-49, 1993.
6. A. GALKA, J. J. TELEGA and R. WOJNAR, Some computational aspects of homogenization of thermopiezoelectric composites, Comput. Assisted Mech. Engng. Sci. 3, 133-154, 1996.
7. J. B. CASTILLERO, J. A. OTERO, R. R. RAMOS and A. BOURGEAT, Asymptotic homogenization of laminated piezocomposite materials, Int. J. Solids Struct., 35, 527-541, 1998.
8. J. PASTOR, Homogenization of linear piezoelectric media, Mech. Res. Commun., 24, 145-150, 1997.
9. IGOR V. ANDRIANOV, V. V. DANISHEVSKIǏ and DIETER WEICHERT, Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions, Eur. J. Mech. A/Solids, 21, 1019-1036, 2002.
10. I. V. ANDRIANOV, G. A. STARUSHENKO, V. V. DANISHEVSKIǏ and S. TOKARZEWSKI, Homogenization procedure and Padé approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross section, Proc. R. Soc. Lond. A, 455, 3401-3413, 1999.
11. H. TAUNAUMANG, I. L. GUY and H. L. W. CHAN, Electromechanical properties of 1-3 piezoelectric ceramic/piezoelectric polymer composites, J. Appl. Phys. 76, 484-489, 1994.
12. K. SCHULGASSER, Relationships between the effective properties of transversely isotropic piezoelectric composites, J. Mech. Phys. Solids 40, 473-479, 1992.
13. R. GUINOVART-DIAZ, J. BRAVO-CASTILLERO, R. RODRÍGUEZ-RAMOS and F. J. SABINA, Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents. I. Elastic and hexagonal symmetry, J. Mech. Phys. Solids, 49, 1445-1462, 2001.
14. F. J. SABINA, R. RODRÍGUEZ-RAMOS, J. BRAVO-CASTILLERO and R. GUINOVART-DÍAZ, Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents. I. Piezoelectric and hexagonal symmetry, J. Mech. Phys. Solids, 49, 1463-1479, 2001.
15. R. RODRÍGUEZ-RAMOS, F. J. SABINA, R. GUINOVART-DÍAZ and J. BRAVO-CASTILLERO, Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents. I. Elastic and square symmetry, Mech. Mat., 33, 223-235, 2001.
16. J. BRAVO-CASTILLERO, R. GUINOVART-DÍAZ, F. J. SABINA and R. RODRÍGUEZ-RAMOS, Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents. II. Piezoelectric and square symmetry, Mech. Mat., 33, 237-248, 2001.
17. R. GUINOVART-DÍAZ, J. BRAVO-CASTILLERO, R. RODRÍGUEZ-RAMOS and F. J. SABINA, Overall properties of piezocomposite materials 1-3, Mat. Lett., 48, 93-98, 2001.
18. D.A. BERLINCOURT, D.R. CURRAN and H. JAFFE, Piezoelectric and piezomagnetic materials and their function in transducers, Phys. of Acoust., 1A, W. P. MASON [Ed.] Academic Press, New York 1964.