A viscoplastic-coupled phase field modelling for mechanical behaviors of thermal barrier coating system with randomly microporous structures

•Proposing a viscoplastic-coupled phase field model, with implementation in finite element framework.•Characterizing the microstructure of TBCs quantitatively based on the two phase rotary chord length distribution.•Success in modelling stress–strain response and failure process of TC with different microstructures.•Success in predicting crack growth of TBCs under cyclic loading and thermal growth stress.