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