Two-step computational scheme for modeling the excitation of elastic waves by an ultrasonic piezoelectric transducer

The problem of excitation of ultrasonic vibrations by a piezoactuator in an isotropic elastic layer is considered. Its dynamic behavior is described using a semi-analytical integral approach, in which the effect of a piezoelectric transducer on a waveguide is taken into account through an unknown vector function of contact stresses. To determine it, a two-stage computational scheme is proposed, in which, at the first stage, the dynamic spatial contact problem is solved using the finite element method (FEM), and displacements in an area coinciding in shape with the contact area, but taken on the opposite side of the waveguide, are taken from the resulting FEM solution. At the second stage, the required contact voltages are found from the solution of a system of boundary integral equations in which the displacements found using FEM are included in the right part. To verify the proposed approach, the results obtained on its basis are compared with FEM solutions, as well as with experimental data.