Mathematical Problems in Engineering
Volume 2005 (2005), Issue 2, Pages 231-244
doi:10.1155/MPE.2005.231
Excitation of shear waves in a piezoceramic medium with
partially electrodized tunnel openings strengthened by a rigid
stringer
Laboratory of Strength and Materials, Department of Mechanics, Faculty of Applied Sciences, National Technical University of Athens, Zografou Campus, Theocaris Building, Athens 15773, Greece
Received 2 May 2003
Copyright © 2005 D. I. Bardzokas and G. I. Sfyris. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
An antiplane mixed boundary electroelasticity of a stationary wave
process in an unbounded piezoceramic medium containing tunnel
heterogeneities of opening or thin rigid inclusion (stringer) type
is considered. The excitation of an electric field occurs at the
expense of differences of electric potentials applied to the
system of electrodes located on a free from stresses opening
surface. Using the correct integral representations of the
solutions, the boundary problem is reduced to the system of
singular integrodifferential equations of the second type with
resolvent kernels. The results of the parametric investigations
characterizing the behavior of the components of an electroelastic
field in the medium area and on the opening surface are given. A
system of singular integrodifferential equations is obtained for
investigation of a conjugated electroelastic field in a
piezomedium with a tunnel along the material axis opening a rigid
curvilinear inclusion, excited by a system of
active electrodes, located on the opening surface. The solvable
system of equations of the boundary problem is reduced to two
differential equations of Helmhöltz and Laplace with
respect to the amplitude of shear displacement and some auxiliary
functions. The obtained system is solved numerically by a special
scheme of the method of quadrature.