Asymptotic homogenization of laminated piezocomposite materials. (English) Zbl 0930.74045

Castillero, J. B.; Otero, J. A.; Ramos, R. R.; Bourgeat, Alain

Int. J. Solids Struct. 35, No. 5-6, 527-541 (1998).

The objective is to apply the technique of asymptotic homogenization to determine the effective elastic, piezoelectric and dielectric moduli of a laminated piezocomposite medium with a periodic structure. We calculate explicitly overall effective characteristics for three examples of such layered media. For the particular case of a binary layered medium, connected in parallel with transversely isotropic constituents, such formulae transform exactly to the formulae for effective constants known from the literature. Finally, we apply these results to a piezocomposite material and obtain new piezoelectric materials with better global properties for hydrophone applications.

MSC:

74Q15	Effective constitutive equations in solid mechanics
74E30	Composite and mixture properties
74F15	Electromagnetic effects in solid mechanics

Keywords:

effective moduli; medium with periodic structure; binary layered medium