Within the linear theory developed in [J. Struct. Control 5 (2) (1998) 73] for coherently oriented, transversely isotropic electroelastic plates capable of thickness changes, the general boundary-value problem uncouples into a "membrane" problem and a "flexure" problem. When progressive waves for the membrane problem are investigated, the relative propagation condition reveals that three different types of solutions exist involving oscillatory thickness distension and contraction accompanied by in-plane motion. In the special case of no electroelastic coupling in the material response the propagation condition can be explicitly solved; one purely electrical and two purely mechanical waves obtain. A simple argument based on kinematical similarities indicates that the two mechanical waves can be regarded as two-dimensional counterparts of the first equivoluminal and dilatational modes of the three-dimensional Rayleigh-Lamb theory. (C) 2001 Elsevier Science B.V. All rights reserved.
PODIO GUIDUGLI, P., Tomassetti, G. (2001). Thickness waves in electroelastic plates. WAVE MOTION, 34(2), 175-191 [10.1016/S0165-2125(00)00080-9].
Thickness waves in electroelastic plates
PODIO GUIDUGLI, PAOLO;TOMASSETTI, GIUSEPPE
2001-01-01
Abstract
Within the linear theory developed in [J. Struct. Control 5 (2) (1998) 73] for coherently oriented, transversely isotropic electroelastic plates capable of thickness changes, the general boundary-value problem uncouples into a "membrane" problem and a "flexure" problem. When progressive waves for the membrane problem are investigated, the relative propagation condition reveals that three different types of solutions exist involving oscillatory thickness distension and contraction accompanied by in-plane motion. In the special case of no electroelastic coupling in the material response the propagation condition can be explicitly solved; one purely electrical and two purely mechanical waves obtain. A simple argument based on kinematical similarities indicates that the two mechanical waves can be regarded as two-dimensional counterparts of the first equivoluminal and dilatational modes of the three-dimensional Rayleigh-Lamb theory. (C) 2001 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.