Xf. Li et Ty. Fan, Mode-III interface edge crack between two bonded quarter-planes of dissimilar piezoelectric materials, ARCH APPL M, 71(10), 2001, pp. 703-714
The problem of an interface edge crack between two bonded quarter-planes of
dissimilar piezoelectric materials is considered under the conditions of a
nti-plane shear and inplane electric loading. The crack surfaces are assume
d to be impermeable to the electric field. An integral transform technique
is employed to reduce the problem under consideration to dual integral equa
tions. By solving the resulting dual integral equations, the intensity fact
ors of the stress and the electric displacement and the energy release rate
as well as the crack sliding displacement and the electric voltage across
the crack surfaces are obtained in explicit form for the case of concentrat
ed forces and free charges at the crack surfaces and at the boundary. The d
erived results can be taken as fundamental solutions which can be superpose
d to model more realistic problems.