Three-dimensional thermal fracture analysis of a one-dimensional hexagonal quasicrystal coating with interface cracks

•3D thermal interfacial fracture analysis in quasicrystal coating is conducted.•The displacement discontinuity method is extended to study the interface crack.•Green’s functions of a ring element under uniform discontinuities are given, and a boundary element method is proposed.•Expressions for stress intensity factors and energy release rate are given.•Effects of many influencing factors on the fracture behavior are briefly discussed. On the basis of displacement and temperature discontinuity boundaries, the three-dimensional fracture behavior of an interface crack is investigated in a one-dimensional hexagonal quasicrystal coating under thermal–mechanical loads. The Hankel transform technique is firstly adopted to derive the fundamental solutions for interfacial displacement and temperature discontinuities, and the corresponding boundary integral–differential equations are constructed. Next, Green’s functions with uniform discontinuities over a ring element are derived, and a boundary element method is proposed. Then, stress intensity factors and the energy release rate are given in terms of displacement discontinuities. Finally, the effects of material mismatch, coating thickness, crack size and applied loads on the fracture behavior are briefly discussed through numerical case studies.