“…It is known that thick TC can cause high residual stress during spraying and may potentially have influence on the gas flowing area. Thus, we assign the upper limit of TC thickness, ℎ , as 800 m. The critical allowed stress in TC, cr TC , is assigned as an experimentally measured biaxial strength of 174 MPa [25]. The temperature on the superalloy substrate, sub , is assumed to be no higher than the critical value, cr sub = 1000 ∘ C. To make the problem easier, an evaluation parameter, , is defined to estimate the comprehensive thermal and mechanical performances of the TBCs as follows:…”