SH wave propagation in a piezoelectric/piezomagnetic plate with an imperfect magnetoelectroelastic interface

ABSTRACT

In this paper, we investigate the SH wave propagation in a layered piezoelectric (PE) and piezomagnetic (PM) plate with an imperfect magnetoelectroelastic interface. A linear magnetoelectroelastic spring model is used to describe the weakness of the imperfect interface. On the basis of this model, dispersion curves and mode shapes of the SH waves are computed. In particular, a PZT-5A/CoFe₂O₄ composite plate is considered in the numerical examples to calculate the dispersion curves and the mode shapes for different combinations of the magnetic, electrical and elastic spring constants. The effects of the layer thickness ratio and the electric-magnetic boundary conditions on the dispersion curves are discussed in details. Our results show that for a general weak bonding case, the high modes of the dispersion curves are not monotonous in the range of small wave numbers. With the layer thickness ratio increasing, the wave velocities of the SH waves increase. The electric boundary conditions mainly determine the dispersion curves of the SH waves in the case of a small layer thickness ratio, i.e. a large thickness of the PE layer. The present results have relevant applications in the nondestructive testing and evaluation of the layered PE/PM plate-like wave devices.

KEYWORDS:

• SH waves
• piezoelectric/piezomagnetic composite plate
• magnetoelectroelastic spring model
• imperfect interface
• dispersion curves
• model shapes

Additional information

Funding

The authors are grateful to the support by the National Natural Science Foundation of China [grant numbers 11572208 and 11572358], as well as the China Scholarship Council [(CSC), 201608130160] to support the Visiting Scholarship of Yu Pang at the Chair of Structural Mechanics, University of Siegen, Germany.