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

doi:10.1007/s10338-022-00360-1

	Singularities of Three-Dimensional Cubic Piezoelectric Quasicrystal Composite Wedges and Spaces
	Mu, Xiang 3,4; Cao, Ting 4; Xu WS(徐文帅)1,2; Zhu, Zhaowei 4; Qin, Taiyan 4; Zhang, Liangliang 4; Gao, Yang 4
刊名	ACTA MECHANICA SOLIDA SINICA
	2022-11-04
页码	13
关键词	Composite wedges Stroh formalism 3D cubic piezoelectric quasicrystals (QCs) Singular orders
ISSN号	0894-9166
DOI	10.1007/s10338-022-00360-1
通讯作者	Zhang, Liangliang(llzhang@cau.edu.cn) ; Gao, Yang(gaoyangg@gmail.com)
英文摘要	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.
分类号	Q3
资助项目	National Natural Science Foundation of China[11972365] ; National Natural Science Foundation of China[12102458] ; China Agricultural University Education Foundation[1101-2412001]
WOS关键词	SHAPED INTERFACE CRACK ; STRESS SINGULARITIES ; FUNDAMENTAL-SOLUTIONS
WOS研究方向	Materials Science ; Mechanics
语种	英语
WOS记录号	WOS:000878924100001
资助机构	National Natural Science Foundation of China ; China Agricultural University Education Foundation
其他责任者	Zhang, Liangliang ; Gao, Yang
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/90750]
专题	力学研究所_国家微重力实验室
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China; 3.China Agr Univ, Coll Engn, Beijing 100083, Peoples R China; 4.China Agr Univ, Coll Sci, Beijing 100083, Peoples R China;
推荐引用方式 GB/T 7714	Mu, Xiang,Cao, Ting,Xu WS,et al. Singularities of Three-Dimensional Cubic Piezoelectric Quasicrystal Composite Wedges and Spaces[J]. ACTA MECHANICA SOLIDA SINICA,2022:13.
APA	Mu, Xiang.,Cao, Ting.,徐文帅.,Zhu, Zhaowei.,Qin, Taiyan.,...&Gao, Yang.(2022).Singularities of Three-Dimensional Cubic Piezoelectric Quasicrystal Composite Wedges and Spaces.ACTA MECHANICA SOLIDA SINICA,13.
MLA	Mu, Xiang,et al."Singularities of Three-Dimensional Cubic Piezoelectric Quasicrystal Composite Wedges and Spaces".ACTA MECHANICA SOLIDA SINICA (2022):13.