H. Sosa et N. Khutoryansky, NEW DEVELOPMENTS CONCERNING PIEZOELECTRIC MATERIALS WITH DEFECTS, International journal of solids and structures, 33(23), 1996, pp. 3399-3414
The problem of a piezoelectric body with an elliptic cavity is revisit
ed within the framework of two-dimensional electro-elasticity. In cont
rast to our previous formulation, the present analysis is based on the
use of exact electric boundary conditions at the rim of the hole, thu
s avoiding the common assumption of electric impermeability. Expressio
ns for the elastic and electric variables induced inside and outside t
he cavity are derived in closed form in terms of complex potentials. C
omparisons between present (exact) and previous (approximate) models a
re effected to establish the limitations associated with the assumptio
n of the impermeable hole, in particular when it becomes a slit crack.
Copyright (C) 1996 Elsevier Science Ltd.