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Static deformation of a multilayered one-dimensional hexagonal quasicrystal plate with piezoelectric effect 被引量:5

Static deformation of a multilayered one-dimensional hexagonal quasicrystal plate with piezoelectric effect
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摘要 Quasicrystals (QCs) are sensitive to the piezoelectric (PE) effect. This paper studies static deformation of a multilayered one-dimensional (1D) hexagonal QC plate with the PE effect. The exact closed-form solutions of the extended displacement and traction for a homogeneous piezoelectric quasicrystal (PQC)plate are derived from an eigensystem. The general solutions for multilayered PQC plates are then obtained using the propagator matrix method when mechanical and electrical loads are applied on the top surface of the plate. Numerical examples for several sandwich plates made up of PQC, PE, and QC materials are provided to show the effect of stacking sequence on phonon, phason, and electric fields under mechanical and electrical loads, which is useful in designing new composites for engineering structures. Quasicrystals (QCs) are sensitive to the piezoelectric (PE) effect. This paper studies static deformation of a multilayered one-dimensional (1D) hexagonal QC plate with the PE effect. The exact closed-form solutions of the extended displacement and traction for a homogeneous piezoelectric quasicrystal (PQC)plate are derived from an eigensystem. The general solutions for multilayered PQC plates are then obtained using the propagator matrix method when mechanical and electrical loads are applied on the top surface of the plate. Numerical examples for several sandwich plates made up of PQC, PE, and QC materials are provided to show the effect of stacking sequence on phonon, phason, and electric fields under mechanical and electrical loads, which is useful in designing new composites for engineering structures.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第3期335-352,共18页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(Nos.11502123 and11262012) the Natural Science Foundation of Inner Mongolia Autonomous Region of China(No.2015JQ01)
关键词 quasicrystal (QC) piezoelectric (PE) effect multilayered plate exactsolution static deformation quasicrystal (QC), piezoelectric (PE) effect, multilayered plate, exactsolution, static deformation
作者简介 Corresponding author:Junhong GUO,E-mail:jhguo@imut.edu.cn
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