| Summary: | 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.
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