Bending Analysis of Laminated Two-Dimensional Piezoelectric Quasicrystal Plates with Functionally Graded Material Properties

Yang Lia, b, Lianzhi Yangc, Yang Gaod aCollege of Engineering, China Agricultural University, Beijing 100083, China bDepartment of Mechanical and Power Engineering, Yingkou Institute of Technology, Yingkou 115014, China cSchool of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China dCollege of Science, China Agricultural University, Beijing 100083, China

Received: July 2, 2018; in final form January 18, 2019

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This paper presents an exact solution for a functionally graded multilayered two-dimensional piezoelectric quasicrystal plate with simply supported boundary conditions. The material properties of the functionally graded plate are assumed to be exponentially distributed along the thickness direction. Based on the pseudo-Stroh formalism, an exact solution for a functionally graded plate is derived, and the exact solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical examples show the influences of functionally graded exponential factor, stacking sequence, and phonon-phason coupling coefficient on the plate. The obtained results should be useful for the analysis and design of the functionally graded two-dimensional piezoelectric quasicrystal plate.

DOI:10.12693/APhysPolA.135.426 topics: quasicrystals, functionally graded materials, piezoelectricity, plates, exact solution