Study on effective electroelastic properties of one-dimensional hexagonal piezoelectric quasicrystal containing randomly oriented inclusions

被引:5
|
作者
Li, Lu [1 ]
Li, Xinpei [1 ]
Li, Lianhe [1 ,2 ,3 ]
机构
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Inner Mongolia Ctr Appl Math, Hohhot 010022, Peoples R China
[3] Minist Educ, Key Lab Infinite Dimens Hamiltonian Syst & Its Alg, Hohhot 010022, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2023年 / 37卷 / 20期
基金
中国国家自然科学基金;
关键词
Quasicrystal; Eshelby tensor; Euler angles; effective electroelastic constants; randomly oriented inclusions; CLOSED-FORM SOLUTIONS; FUNDAMENTAL-SOLUTIONS; SPHEROIDAL INCLUSION; COMPOSITES; CRACKS; TENSORS; PLATES; PHASE; FIELD;
D O I
10.1142/S0217984923500434
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, the effective electroelastic properties of one-dimensional (1D) hexagonal piezoelectric quasicrystal containing randomly oriented inclusions are considered. The explicit expressions are obtained for the Eshelby tensors for 1D hexagonal piezoelectric quasicrystals containing rod-shaped and penny-shaped inclusions. The closed forms of the electroelastic constants are acquired for four special cases of random orientations of inclusions. Numerical results are given for the 1D hexagonal piezoelectric quasicrystal containing randomly oriented ellipsoidal inclusions. The results indicate that the effective electroelastic properties of 1D hexagonal piezoelectric quasicrystal composites are strongly affected by both the aspect ratio and the orientation of inclusions.
引用
收藏
页数:15
相关论文
共 50 条
  • [31] Accurate fracture analysis of electrically permeable/impermeable cracks in one-dimensional hexagonal piezoelectric quasicrystal junction
    Yang, Zhenting
    Yu, Xiong
    Xu, Wang
    Xu, Chenghui
    Zhou, Zhenhuan
    Xu, Xinsheng
    MATHEMATICS AND MECHANICS OF SOLIDS, 2019, 24 (12) : 4032 - 4050
  • [32] THE EFFECTIVE PROPERTIES OF ONE-DIMENSIONAL HEXAGONAL QOUASICRYSTAL REINFORCED COMPOSITES
    Hu, Zhiming
    Feng, Xin
    Mu, Xiang
    Zhang, Liangliang
    Gao, Yang
    2022 16TH SYMPOSIUM ON PIEZOELECTRICITY, ACOUSTIC WAVES, AND DEVICE APPLICATIONS, SPAWDA, 2022, : 746 - 750
  • [33] Analytical Solution of the Interference between Elliptical Inclusion and Screw Dislocation in One-Dimensional Hexagonal Piezoelectric Quasicrystal
    Zhang, Zhiguo
    Li, Xing
    Ding, Shenghu
    CRYSTALS, 2023, 13 (10)
  • [34] Symplectic Elasticity Approach for the Anti-Plane Problem of One-Dimensional Hexagonal Piezoelectric Quasicrystal Plates
    An, Tongtong
    Sun, Zhiqiang
    Hou, Guolin
    Qiao, Yanfen
    MECHANICS OF SOLIDS, 2023, 58 (09) : 3263 - 3275
  • [35] Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations
    Li, Yang
    Gao, Yang
    CRYSTALS, 2024, 14 (11)
  • [36] On three-dimensional elastic problems of one-dimensional hexagonal quasicrystal bodies
    Chen, WQ
    Ma, YL
    Ding, HJ
    MECHANICS RESEARCH COMMUNICATIONS, 2004, 31 (06) : 633 - 641
  • [37] Exact Solutions for Interaction of Parallel Screw Dislocations with a Wedge Crack in One-Dimensional Hexagonal Quasicrystal with Piezoelectric Effects
    Lv, Xin
    Liu, Guan-Ting
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [38] Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating
    Xin Zhang
    Minghao Zhao
    Cuiying Fan
    C. S. Lu
    Huayang Dang
    Applied Mathematics and Mechanics, 2022, 43 : 1901 - 1920
  • [39] Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating
    Zhang, Xin
    Zhao, Minghao
    Fan, Cuiying
    Lu, C. S.
    Dang, Huayang
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2022, 43 (12) : 1901 - 1920
  • [40] Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating
    Xin ZHANG
    Minghao ZHAO
    Cuiying FAN
    C.S.LU
    Huayang DANG
    Applied Mathematics and Mechanics(English Edition), 2022, 43 (12) : 1901 - 1920