Thermo‐electric response in 2D hexagonal QC exhibiting piezoelectric effect,ZAMM - Journal of Applied Mathematics and Mechanics

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Thermo‐electric response in 2D hexagonal QC exhibiting piezoelectric effect
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-08-12 , DOI: 10.1002/zamm.201900212
Wenshuai Wang ₁ , Caiqi Li ₂ , Yue‐Ting Zhou ₂

Affiliation

Based on the theory of quasicrystal (QC) with piezoelectric effect, the general solutions of a two‐dimensional hexagonal QC under the thermo‐electric loadings are derived by using the strict operator theory and the generalized Almansi theorem. Based on the general solutions, two potential functions are introduced, and the basic solutions of QC are obtained according to the boundary conditions of the point source acting on the infinite body and the semi‐infinite body. Numerical examples are given to analyze the variations of temperature, displacement and stress of phonon field, electric field potential, and electric displacement.

中文翻译：

二维六角形QC中的热电响应表现出压电效应

基于带压电效应的准晶体理论，运用严格算子理论和广义Almansi定理，推导了热电载荷作用下二维六角形QC的一般解。在一般解的基础上，引入了两个势函数，并根据作用在无限大体和半无限大体上的点源的边界条件，获得了质量控制的基本解。给出了数值例子来分析温度，声子场的位移和应力，电场势和电位移的变化。

更新日期：2020-08-12

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