On methods for bounding the overall properties of periodic piezoelectric fibrous composites

摘要

The homogenization problem of linearly piezoelectric fibrous composites with a periodic microstructure is formulated by adopting the free-and complementary-energy minimum principles, as well as the Hashin- Shtrikman principles. The auxiliary electroelastic problems involved in the Hashin-Shtrikman principles are solved by a transformation from the space domain to the Fourier domain.