Guided wave propagating in a 1-D hexagonal piezoelectric quasi-crystal plate

Zhang, B.; Yu, Jiangong; Zhang, X. M; Elmaimouni, L.

doi:10.1007/s00707-020-02811-7

Cited by 9 publications

(1 citation statement)

References 24 publications

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“…Zhou and Li [13] studied cracking problems in 1D hexagonal piezoelectric QCs and determined the exact closed-form phonon and phason stress and electric fields. Zhang et al [14] applied the Legendre polynomial method to study the guided wave propagating in a 1D hexagonal piezoelectric QC plate. In terms of the complex function method, Li et al [15] solved the problem of the interaction between a screw dislocation and an elliptical hole with two asymmetric cracks in a 1D hexagonal piezoelectric QC.…”

Section: Introductionmentioning

confidence: 99%

Static Electro-Mechanical Response of Axisymmetric One-Dimensional Piezoelectric Quasicrystal Circular Actuator

Zhang

et al. 2022

Materials

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The piezoelectric effect of piezoelectric quasicrystalline materials is coexcited by phonon and phason fields. Piezoelectric quasicrystalline materials have excellent properties of both piezoelectric materials and quasicrystalline materials, which are expected to be used as actuators in the fields of aerospace, automotive, and intelligent manufacturing. Based on the three-dimensional elastic theory of piezoelectric quasicrystals, the state space equation for axisymmetric piezoelectric quasicrystal circular plate actuators is derived by using the state space method. Afterwards, the finite Hankel transformation is performed on the state equation, and a system of ordinary differential equations and corresponding boundary conditions are obtained. Finally, the exact solution of axisymmetric bending of one-dimensional hexagonal piezoelectric quasicrystal circular actuators under generalized elastic simply supported boundary conditions is obtained by using the propagator matrix method. Numerical results are given to compare the degradation results in this paper with those in the literature, and present the influences of the thickness-to-span ratio and stacking sequence on the phonon, phason, and electric fields when the surface of the laminated circular actuators is subjected to mechanical load. The exact solution obtained does not introduce any deformation assumption; therefore, the exact solution can provide references for numerical calculations of the mechanical behavior of piezoelectric quasicrystals.

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Section: Introductionmentioning

confidence: 99%