Thermal fracture analysis of a two-dimensional decagonal quasicrystal coating structure with interface cracks

Abstract

The displacement and temperature discontinuity method is extended to the coating structure of a two-dimensional decagonal quasicrystal–crystal system, where the behavior of interfacial cracks is studied under a thermo-mechanical load. The fundamental solution of unit-point displacement and temperature discontinuity is derived on a crack surface. Based on superposition principle and finite part integrals, the boundary integral–differential equation is obtained. The algebraic equations for solving displacement and temperature discontinuities on line elements are constructed for numerical simulation. Stress intensity factors and energy release rate at crack tips are represented by the discontinuities. Influences of many factors on fracture are discussed.

Keywords:

• Two-dimensional decagonal quasicrystal coating
• interface crack
• thermo-mechanical load
• displacement and temperature discontinuity
• stress intensity factor
• energy release rate

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (Nos. 11572289, 1171407, 11702252, and 11902293) and the China Postdoctoral Science Foundation (No. 2019M652563).