Singularities of Three-Dimensional Cubic Piezoelectric Quasicrystal Composite Wedges and Spaces  

作　　者：Xiang Mu Ting Cao Wenshuai Xu Zhaowei Zhu Taiyan Qin Liangliang 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 [3]Key Laboratory of Microgravity,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China [4]University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Acta Mechanica Solida Sinica》2023年第1期143-155,共13页固体力学学报（英文版）

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

摘　　要：In this paper,the planar problems of three-dimensional(3D)cubic piezoelectric quasicrystal composite wedges and spaces are investigated.The study focuses on the singular behaviors of interface corner and interface crack of composite wedges and spaces.To research the stress singularities,the stress function is assumed to have the exponential form.Based on the Stroh formalism and Barnett–Lothe matrices,we derive a crucial matrix concerned with material properties and wedge angle and obtain the transcendental equation determining the singular orders by simple multiplication of the crucial matrix.Numerical examples of the singular orders are given for some general cases including single,bi-material,and tri-material wedges and spaces under different boundary conditions.The correctness of numerical results is verified by comparison with the existing results of piezoelectric material.Numerical results show that the phonon field,phason field,electric field,material properties,and boundary conditions have great influences on singularities.

关 键 词：Composite wedges Stroh formalism 3D cubic piezoelectric quasicrystals(QCs) Singular orders 

分 类 号：O17[理学—数学]