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

doi:10.1007/s10483-022-2942-7

Abstract

Abstract: 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.

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

2010 MSC Number:

Xin ZHANG, Minghao ZHAO, Cuiying FAN, C. S. LU, Huayang DANG. Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating. Applied Mathematics and Mechanics (English Edition), 2022, 43(12): 1901-1920.

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