Abstract
The authors are concerned with harmonic waves propagating in a three-dimensional composite, with periodic structure, consisting of anisotroplc. elastic and piezoelectric crystals, obtaining solutions by a mixed variational method. The electric field is treated as quasi-static. The stress, displacement, electric displacement and electric scalar potential are field variables subject to variations in a general variational principle. The matrix-eigenvalue problem is solved to give approximate eigenfrequencics and the corresponding eigcnstates. Numerical examples are given for harmonic waves propagating in the gallium arsenide crystal with ellipsoidal inclusions of lithium niobate.
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