Dispersion relations for SH waves on a magnetoelectroelastic heterostructure with imperfect interfaces

Abstract

The dispersion relations of surface SH waves in an A/B/A heterostructure with magnetoelectroelastic properties and imperfect (electromagnetically permeable or absorbent, mechanically spring-type) bonding at the interfaces are obtained taking the geometric symmetry of the system into account. Consequently, the results for the symmetric and antisymmetric modes are presented. Different limit cases are considered. Numerical calculations for relevant realizations of the heterostructure are investigated for different values of the material parameter describing the assumed mechanically imperfect bonding. In all the studied cases, the propagation velocities of the SH waves increase for increasing values of this parameter and are limited by the velocities on the homogeneous phases A and B. © 2011 by Mathematical Sciences Publishers.