Design of functionally graded thermal barrier coatings based on a nonlinear micromechanical approach

This study presents the methodology of analysis and design of functionally graded thermal barrier coatings (FG TBCs) consisting of ceramics and metals based on a mean-field micromechanical approach taking into account the time-independent and dependent inelastic deformation, such as plasticity of metals, creep of metals and ceramics, and diffusional mass flow at the ceramic/metal interface. Ni–ZrO2 systems were numerically studied and the effect of the compositional gradation patterns and time-dependent inelastic deformation on the micro- and macro-stress states in the FG TBCs were examined. The suitable compositional gradation patterns were proposed for typical thermo-mechanical boundary conditions. It was shown that the creep deformation near the ceramic surface can introduce large tensile stresses, potentially leading to thermal fracture, which is possibly reduced by controlling the ability of creep of the ceramics.