earticle

영어

Dispersive characteristics of in-plane waves propagating vertically through one-dimensional elastic/piezoelectric phononic crystal with initial stresses are studied in this paper. Firstly, in-plane waves are studied in this paper. In-plane waves are coupled by P-wave (or primary wave) and SV-wave (Secondary wave in the vertical plane). Secondly, the transfer matrix method is used to derive the dispersion equations. The solving process is as follow. The state vectors on both sides of the sub-layer in a unit cell are connected by a matrix, and those on both sides of the interface between the adjacent sub-layers are connected by an identical matrix. Thus, a matrix connecting the state vectors of both sides of the unit cell can be gotten, and the dispersion equation will be derived with the Bloch Theory. Finally, the effect of the initial stresses is considered. For in-plane waves both the normal initial stresses and the shear initial stresses are taken effect. So they are calculated respectively in this paper.