
doi: 10.2514/2.1917
A two-dimensional theory for the analysis of multilayered piezoelectric plates is presented. The theory is based on a hybrid approach in which the continuity conditions for both mechanical and electric unknowns at layer interfaces, as well as the imposed conditions on the bounding surfaces and at the interfaces, are independently satisfied. Then, the piezoelectric boundary-value problem is stated using mechanical displacements and electrostatic potential, in conjunction with the coupled piezoelectric constitutive law. The proposed model is simple to use, incorporating only five independent generalized displacements and one or two independent generalized electrostatic potentials as unknowns. The number of electric unknowns depends on the number of layers and electric prescribed conditions. The accuracy of the proposed theory is assessed through investigation of significant problems, for which an exact three-dimensional solution is known from Heyliger: first, in dynamics, the free vibrations of five-layered piezoelectric plates and second, in statics, for three-layered plates with an imposed force density. Results obtained with our model compare very well with the exact three-dimensional theory.
[SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph]
[SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph]
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 13 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
