Figure 1
Transverse cross-section of the nano-piezoelectric phononic crystal unit cell: BaTiO3 inclusions distributed in a polymeric matrix for square (a), rectangular (b), triangular (c), honeycomb (d) and Kagomé (e) lattices. First Brillouin zone for square (f), rectangular (g), triangular (h), honeycomb (h) and Kagomé (h) lattices.
Figure 2
Elastic band structures of XY (red) and Z (blue) modes of BaTiO3 inclusions in a polymeric matrix for square lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 3
Elastic band structures of XY (red) and Z (blue) modes of BaTiO3 inclusions in a polymeric matrix for rectangular lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 4
Elastic band structures of XY (red) and Z (blue) modes of BaTiO3 inclusions in a polymeric matrix for triangular lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 5
Elastic band structures of XY (red) and Z (blue) modes of BaTiO3 inclusions in a polymeric matrix for honeycomb lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 6
Elastic band structures of XY (red) and Z (blue) modes of BaTiO3 inclusions in a polymeric matrix for Kagomé lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 7
Elastic band structures of BaTiO3 inclusions in a polymeric matrix considering Z mode with (blue asterisks) and without (black circles) piezoelectricity for square lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 8
Elastic band structures of BaTiO3 inclusions in a polymeric matrix considering Z mode with (blue asterisks) and without (black circles) piezoelectricity for rectangular lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 9
Elastic band structures of BaTiO3 inclusions in a polymeric matrix considering Z mode with (blue asterisks) and without (black circles) piezoelectricity for triangular lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 10
Elastic band structures of BaTiO3 inclusions in a polymeric matrix considering Z mode with (blue asterisks) and without (black circles) piezoelectricity for honeycomb lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 11
Elastic band structures of BaTiO3 inclusions in a polymeric matrix considering Z mode with (blue asterisks) and without (black circles) piezoelectricity for Kagomé lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 12
Elastic complete band gap widths between XY and Z modes of BaTiO3 inclusions in a polymeric matrix as a function of filling fraction for square lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 13
Elastic complete band gap widths between XY and Z modes of BaTiO3 inclusions in a polymeric matrix as a function of filling fraction for rectangular lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 14
Elastic complete band gap widths between XY and Z modes of BaTiO3 inclusions in a polymeric matrix as a function of filling fraction for triangular lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 15
Elastic complete band gap widths between XY and Z modes of BaTiO3 inclusions in a polymeric matrix as a function of filling fraction for honeycomb lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
Figure 16
Elastic complete band gap widths between XY and Z modes of BaTiO3 inclusions in a polymeric matrix as a function of filling fraction for Kagomé lattice. The following types of inclusions are considered - circular (a), hollow circular (b), square (c) and rotated square with a 45º angle of rotation with respect to the x, y axes.
