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The possibility to predict creep behavior of metals is fundamental for all high temperature applications. Creep modeling and life predictions are usually based on empirical approaches that requires a number of tests and for which extension to complex load hystories is often unfeasible. Continuum damage mechanics showed a great potential in modeling irreversible processes and it can be used to model material creep damage. Most of the CDM model proposed in the literature address creep strain accumulation as a function of stress and time. In this paper, starting from the observation that creep damage is the result of the impossibility of the material microstructure to accommodate diffusive strain and grain boundary sliding, a new strain based CDM creep model has been proposed. Here, creep damage is assumed to be function of the effective accumulated creep strain only. Creep time is accounted by explicit viscous relation in the Bailey-Norton law that provide creep strain evolution with time for the creep regime where no damage process usually occurs, namely early secondary creep stage. The proposed model has been implemented in finite element code and used to predict creep strain and creep life for a IMI 834 titanium alloy at 650°C under different imposed stress levels.