Bending of an isotropic layer (or semilayer) weakened by a through noncircular hole was considered in [1]. A similar problem for an isotropic layer with a circular hole was solved in [2, 3] using different methods. Study of a stressed isotropic layer weakened by through holes in the case of sliding fixation of its ends (the so-called symmetric case) was undertaken in [4]. In all the papers mentioned above, the solutions to the boundary value problems were based on the Vorovich semi-inverse method. A number of electroelasticity problems for a layer under various boundary conditions imposed at its ends was considered in [5]. A method, distinct from that developed in [4], for solving mixed boundary value problems in the theories of elasticity and electroelasticity for a layer weakened by through inhomogeneities was described in [6]. We consider a piezoelectric-ceramic layer (–h ≤ x3 ≤ h, –∞ < x1, x2 < ∞) weakened by a tunnel (i.e., directed along the 0x3-axis) through holes (cavities) whose cross sections are smooth closed contours Lj, j = 1, 2, ..., k. We assume that the side surfaces of the cavities are force-free and the bending–torsional stress at infinity is given by the uniform field (i, j = 1, 2, 3).