List of Tables
Table 3.1 Base vectors in the undeformed and deformed
configurations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
Table 3.2 List of nonlinear shell theories based on FOSD hypothesis . . . . 49
Table 3.3 Strain-displacement relations for various shell theories . . . . . . . 50
Table 3.4 The expressions of the abbreviations for various
shell theories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Table 4.1 Voigt notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Table 4.2 Description of material parameters for MFC, reprinted from
Ref. [18], copyright 2015, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
Table 5.1 Shell element types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
Table 5.2 Notations for different configurations. . . . . . . . . . . . . . . . . . . . . 87
Table 6.1 Material properties of the composite plate . . . . . . . . . . . . . . . . . 102
Table 6.2 Mid-point displacements of cross-ply plate by LRT56
theory using SH85URI elements . . . . . . . . . . . . . . . . . . . . . . . . 104
Table 6.3 Material properties of the cantilevered smart beam . . . . . . . . . . 116
Table 6.4 Material properties of the fully clamped smart cylindrical
shell. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
Table 6.5 Material properties of the PZT laminated semicircular
cylindrical shell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
Table 6.6 First five eigen-frequencies of the PZT laminated semicircular
cylindrical shell (Hz) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
Table 6.7 Material properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
Table 7.1 Material properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
Table 7.2 Numerical values for the present result in Fig. 7.2, reprinted
from Ref. [4], copyright 2015, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Table 7.3 Numerical values for the curve in Fig. 7.3, reprinted from Ref.
[4], copyright 2015, with permission from ELSEVIER . . . . . . . 140
xxiii
Table 3.1 Base vectors in the undeformed and deformed
configurations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
Table 3.2 List of nonlinear shell theories based on FOSD hypothesis . . . . 49
Table 3.3 Strain-displacement relations for various shell theories . . . . . . . 50
Table 3.4 The expressions of the abbreviations for various
shell theories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Table 4.1 Voigt notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Table 4.2 Description of material parameters for MFC, reprinted from
Ref. [18], copyright 2015, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
Table 5.1 Shell element types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
Table 5.2 Notations for different configurations. . . . . . . . . . . . . . . . . . . . . 87
Table 6.1 Material properties of the composite plate . . . . . . . . . . . . . . . . . 102
Table 6.2 Mid-point displacements of cross-ply plate by LRT56
theory using SH85URI elements . . . . . . . . . . . . . . . . . . . . . . . . 104
Table 6.3 Material properties of the cantilevered smart beam . . . . . . . . . . 116
Table 6.4 Material properties of the fully clamped smart cylindrical
shell. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
Table 6.5 Material properties of the PZT laminated semicircular
cylindrical shell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
Table 6.6 First five eigen-frequencies of the PZT laminated semicircular
cylindrical shell (Hz) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
Table 6.7 Material properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
Table 7.1 Material properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
Table 7.2 Numerical values for the present result in Fig. 7.2, reprinted
from Ref. [4], copyright 2015, with permission from
ELSEVIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Table 7.3 Numerical values for the curve in Fig. 7.3, reprinted from Ref.
[4], copyright 2015, with permission from ELSEVIER . . . . . . . 140
xxiii