A novel isogeometric analysis enriched element for a V-notched one-dimensional hexagonal piezoelectric quasicrystal bi-material

被引:7
|
作者
Yang, Zhenting [1 ]
Yu, Xiong [1 ]
Tong, Zhenzhen [1 ,2 ]
Xu, Chenghui [3 ]
Zhou, Zhenhuan [1 ]
Xu, Xinsheng [1 ]
机构
[1] Dalian Univ Technol, Dept Engn Mech, Int Ctr Computat Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
[2] Dalian Jiaotong Univ, Coll Locomot & Rolling Stock Engn, Dalian 116028, Peoples R China
[3] Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Peoples R China
基金
中国国家自然科学基金;
关键词
Piezoelectric quasicrystal; Symplectic method; Notch intensity factor; Isogeometric analysis; Bi-material; Enriched element; SHAPED INTERFACE CRACK; FINITE-ELEMENT; INFINITE MEDIUM; ELASTIC FIELD; FRACTURE; PLATES; MODEL; NURBS; CAD;
D O I
10.1016/j.tafmec.2021.103039
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A novel isogeometric analysis enriched element for accurate evaluation of singularities arising at the interface in V-notched one-dimensional hexagonal piezoelectric quasicrystals (PQCs) under anti-plane loading is developed. By taking the advantages of IGA and symplectic methodology, an enriched element centered at the notch tip is constructed by analytical symplectic eigensolutions. Explicit expressions of notch intensity factors and singular multi-physical fields within enriched element are obtained simultaneously. A comparison study between numerical predictions and analytical solutions is performed and excellent agreements are observed. Furthermore, the notch intensity factors for different V-notched PQC bi-material are presented and discussed in detail.
引用
收藏
页数:12
相关论文
共 25 条
  • [1] A novel Hamiltonian-based isogeometric analysis of one-dimensional hexagonal piezoelectric quasicrystal with mode III electrically permeable/impermeable cracks
    Yang, Zhenting
    Yu, Xiong
    Xu, Chenghui
    Tong, Zhenzhen
    Zhou, Zhenhuan
    Xu, Xinsheng
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2020, 107
  • [2] Green's functions of one-dimensional quasicrystal bi-material with piezoelectric effect
    Zhang, Liangliang
    Wu, Di
    Xu, Wenshuai
    Yang, Lianzhi
    Ricoeur, Andreas
    Wang, Zhibin
    Gao, Yang
    PHYSICS LETTERS A, 2016, 380 (39) : 3222 - 3228
  • [3] Bi-material V-notched SIFs analysis by XFEM and conservative integral approach
    Yi, Gao
    Yu, Tiantang
    Tinh Quoc Bui
    Tanaka, Satoyuki
    COMPUTERS & STRUCTURES, 2018, 196 : 217 - 232
  • [4] Evaluation of electroelastic singularity of finite-size V-notched one-dimensional hexagonal quasicrystalline bimaterials with piezoelectric effect
    Zhou, Zhenhuan
    Yang, Zhenting
    Xu, Wang
    Yu, Xiong
    Xu, Chenghui
    Xu, Xinsheng
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2019, 100 (139-153) : 139 - 153
  • [5] 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
  • [6] Interaction between a Screw Dislocation and Two Unequal Interface Cracks Emanating from an Elliptical Hole in One Dimensional Hexagonal Piezoelectric Quasicrystal Bi-Material
    Pi, Jiandong
    Zhao, Yue
    Li, Lianhe
    CRYSTALS, 2022, 12 (03)
  • [7] Partially debonded circular inclusion in one-dimensional quasicrystal material with piezoelectric effect
    Hu, K. Q.
    Meguid, S. A.
    Zhong, Z.
    Gao, C-F
    INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN, 2020, 16 (04) : 749 - 766
  • [8] The complex potential approach to power-logarithmic stress singularities for V-notched cracks in a bi-material
    Cho, SB
    Carpenter, WC
    KSME INTERNATIONAL JOURNAL, 1999, 13 (01): : 19 - 25
  • [9] The complex potential approach to power-logarithmic stress singularities for V-notched cracks in a bi-material
    Sang Bong Cho
    William C. Carpenter
    KSME International Journal, 1999, 13 : 19 - 25
  • [10] Enriched finite element analysis of stress intensity factors of bi-material V-notch
    Yang J.
    Han J.
    Lei Y.
    Meng S.
    Lei, Yongjun (leiyj108@nudt.edu.cn), 1600, National University of Defense Technology (38): : 156 - 162