Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating  

作　　者：Xin ZHANG Minghao ZHAO Cuiying FAN C.S.LU Huayang DANG 

机构地区：[1]School of Mechanics and Safety Engineering,Zhengzhou University,Zhengzhou 450001,China [2]School of Mechanical Engineering,Zhengzhou University,Zhengzhou 450001,China [3]School of Civil and Mechanical Engineering,Curtin University,Western Australia6845,Australia

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第12期1901-1920,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. 11572289, 1171407,11702252, and 11902293);the China Postdoctoral Science Foundation (No. 2019M652563)。

摘　　要：In this paper, the three-dimensional(3D) interfacial fracture is analyzed in a one-dimensional(1D) hexagonal quasicrystal(QC) coating structure under mechanical loading. A planar interface crack with arbitrary shape is studied by a displacement discontinuity method. Fundamental solutions of interfacial concentrated displacement discontinuities are obtained by the Hankel transform technique, and the corresponding boundary integral-differential equations are constructed with the superposition principle.Green’s functions of constant interfacial displacement discontinuities within a rectangular element are derived, and a boundary element method is proposed for numerical simulation.The singularity of stresses near the crack front is investigated, and the stress intensity factors(SIFs) as well as energy release rates(ERRs) are determined. Finally, relevant influencing factors on the fracture behavior are discussed.

关 键 词：one-dimensional(1D)hexagonal quasicrystal(QC)coating displacement discontinuity method interface crack rectangular element stress intensity factor(SIF) energy release rate(ERR) 

分 类 号：O753.3[理学—晶体学] O346.1