The materials are made with a graded composition and microstructure in the thick ness direction from the ceramic side to the metal side. The cyclic thermal loadi ng and hig h temperasure gradient environment are simulated by heating the ceramic surface w ith a cyclic heat flux input and cooling the metal surface with a flowing liquid niterogen. The thermal and thermo-elastic-plastic response of the materials i s calculated using the isotropic hardening model and kinetic hardening model. Emp hasis is placed on the response analysis under the different graded compositiona l distributions. Through the response analysis, the optimum design process of th e graded composition under the dynamic case is established, which is based on a unified viewpoint of the heat insulation property, thermal stress relaxation pro perty and stress history feature.