We consider the three-dimensional and time-dependent problem of a bimaterial
consisting of two transversely isotropic piezoelectric half-spaces bonded along a
planar viscous interface and subjected to a point force and point electric charge
within one phase. Closed-form Green’s function solutions are derived when the point
force is normal or parallel to the interface. The analysis indicates that the
electroelastic fields in the two half-spaces induced by a point force in an arbitrary
direction and a point electric charge evolve with two intrinsic velocities. One intrinsic
velocity is determined by the electroelastic properties of the two piezoelectric
half-spaces, while the other is determined by the elastic constants of the two
half-spaces and is independent of the piezoelectric and the dielectric constants of the
two half-spaces. The time-dependent Coulomb force acting on a point electric charge
is obtained.
Keywords
three-dimensional Green's function, point force, point
charge, transversely isotropic piezoelectricity,
bimaterial, closed-form solution, intrinsic velocity,
Coulomb force
