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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.