An approach for the analysis of high-temperature creep and damage accumulation in turbomachine blades, taking into account wear of the part of surface due to contacts with the casing and stress corrosion cracking is proposed. The calculation method and algorithms built on the basis of the proposed approach and the Finite Element Method are described. An updated form of evolution equations is proposed for assessing damage accumulation due to the action of creep and corrosion mechanisms. In the considered example of numerical analysis, the results of modeling the cases of purely static loading, consideration the effects of interaction with the casing surface and corrosion of parts of the blade with a destroyed coating are analyzed. It is emphasized that these factors have a significant influence on the total time before the emergence of the macroscopic defect and its intensive development. The developed approach and calculation method can be further applied to the numerical analysis of real blade models.