Thermo-mechanic-chemical coupling fracture analysis for thermal barrier coating based on extended layerwise method

Abstract

The thermo-mechanical-chemical coupling fracture analysis is carried out numerically in this paper for the thermal barrier coating with multiple interface and transverse cracks, and a thermo-mechanical-chemical extended layerwise method (TMC-XLWM) is developed. The multiple interface cracks are simulated by the strong and weak discontinuous functions in the multi-physical field assumptions along the thickness direction, while the multi-physical transverse cracks are modeled by the extended finite element method (XFEM) in the in-plane discretization. The mixed thermo-mechanical-chemical variational principle is employed to derive the multi-physical Euler equations, boundary conditions and discrete formulations. In order to accurately consider the interaction of multi-physical fields, the displacement, temperature and chemical fields are solved simultaneously, and a fully coupled time integration method is developed. Virtual Crack Closure Technique is used to calculate the energy release rates. Several numerical examples are studied to demonstrate the capabilities of the proposed TMC-XLWM in static and dynamic response analyses, energy release rate for the thermal barrier coating with/without damage.