Fundamental solutions of critical wedge angles for one-dimensional piezoelectric quasicrystal wedge  

作　　者：Xiang MU Xiaoyu FU Liangliang ZHANG Zhaowei ZHU Jinming ZHANG Yang GAO 

机构地区：[1]College of Science,China Agricultural University,Beijing 100083,China [2]College of Engineering,China Agricultural University,Beijing 100083,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第5期709-728,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11972365,12102458,11972354);the China Agricultural University Education Foundation(No.1101-2412001)。

摘　　要：Two problems of a one-dimensional(1D)piezoelectric quasicrystal(QC)wedge are investigated,i.e.,the two sides of the wedge subject to uniform tractions and the wedge apex subject to the concentrated force.By virtue of the Stroh formalism and Barnett-Lothe matrices,the analytical expressions of the displacements and stresses are derived,and the generalized solutions for the critical wedge angles are discussed.Numerical examples are given to present the mechanical behaviors of the wedge in each field.The results indicate that the effects of the uniform tractions and the concentrated force on the phonon field displacement are larger than those on the phason field.

关 键 词：quasicrystal(QC) WEDGE piezoelectric effect critical angle analytical solution 

分 类 号：O343.7[理学—固体力学]