, and their cyclic pe...Figure 2.2 Unit cell and lattice parameters.Figure 2.3 The unit cell of the triclinic unit cell.Figure 2.4 Crystallographic coordinates, directions, and planes.Figure 2.5 The fourteen Bravais lattices, seven crystal systems, and associa...Figure 2.6 Rotoinversion
of the point
. The rotation of
is followed by ...Figure 2.7 Examples of objects with two, three, and fourfold symmetry about ...Figure 2.8 Unit cell of monoclinic crystal system.Figure 2.9 Invariance of the monoclinic lattice with respect to reflection a...Figure 2.10 Invariance of the monoclinic lattice with respect to rotation th...
3 Chapter 3Figure 3.1 (Left) Continuum body
having surface
and the stress vector
...Figure 3.2 Tetrahedron with surface normal
used to derive Cauchy's formula...Figure 3.3 (Left) Differential cube with surface stresses, (Right) All stres...Figure 3.4 Undeformed configuration
, deformed configuration
, and the def...Figure 3.5 Axial rod geometry, coordinate alignment, and displacementFigure 3.6 Beam geometry, coordinate alignment, and displacementFigure 3.7 Geometry of the thin, rectangular, Kirchoff plateFigure 3.8 Linearly elastic body
, applied external stress field
, boundar...
4 Chapter 4Figure 4.1 Point charges
located at points
, respectively, position vecto...Figure 4.2 Wire loops carrying the currents
and
, vectors
and
, and di...Figure 4.3 A typical crystal lattice, an asymmetric unit cell, the centers o...Figure 4.4 A dielectric parallel plate capacitor.Figure 4.5 A volume
that straddles the top electrodes surface of the volum...Figure 4.6 A planar loop of wire carrying current
, having area
, and norm...Figure 4.7 A lattice with point charges at each corner.Figure 4.8 A finite wire with uniform linear charge density.Figure 4.9 An infinite duct.Figure 4.10 A nonplanar current carrying wire.
5 Chapter 5Figure 5.1 (Left) Uniaxial test to measure electric displacement, (Right) El...Figure 5.2 (Left) Uniaxial test to measure stress, (Right) Stress versus ele...Figure 5.3 Decomposition of surface
into complementary surfaces
and
6 Chapter 6Figure 6.1 Displacement assumed mode
.Figure 6.2 Potential assumed mode
.Figure 6.3 Piezoelectric uniaxial rod with the top and bottom surfaces elect...Figure 6.4 Piezoelectrically actuated composite beam.Figure 6.5 Shear and bending moment acting on a typical beam section.Figure 6.6 Piezoelectrically actuated composite plate driven by two voltage ...Figure 6.7 Composite piezoelectric beam actuated by two patches.Figure 6.8 Axial piezoelectric specimen with tip mass.Figure 6.9 Axial piezoelectric specimen with prescribed base motion
.Figure 6.10 Piezoelectric composite beam specimen with rigidly attached tip ...Figure 6.11 Piezoelectric composite beam specimen prescribed base motion
....
7 Chapter 7Figure 7.1 Piezoelectric composite beam connected to a passive resistive shu...Figure 7.2 Schematic diagram of piezoelectric element with shunt resistorFigure 7.3 Piezoelectric composite beam connected to a passive capacitive sh...Figure 7.4 Piezoelectric element with capacitive shuntFigure 7.5 Stack actuator, orientation of layers, and electroding patternFigure 7.6 Coordinate systems for odd and even layers
8 Chapter 8Figure 8.1 Piecewise linear
finite elementsFigure 8.2 Comparison of analytical natural frequencies and numerical estima...Figure 8.3 Transient response of axial piezoelectric specimenFigure 8.4 Comparison of Bode plots for models where the number of degrees o...Figure 8.5 Conventional beam finite element functions over element
with
...Figure 8.6 Nodes, elements, and beam finite element basis defined over a bea...Figure
