To ensure high availability of industrial systems, recent developments in system design technology like in aerospace, defense, petro-chemistry and automobiles, are represented earlier in literature by simulated models during the conception step. These developments have facilitated the integration of diagnostic-prognostic models in these industrial systems. The monitoring of degradation indicators is used indirectly in failure prognostic. It is just a measurment of an unwanted situation. Hence, the diagnostic is not only a failure detection procedure but it also indicates the actual state and the historic of the system. The subsequent prognostic model leads to a predictive maintenance. The Remaining Useful Life is estimated from a predefined threshold of degradation. We will present here a procedure to create a failure prognostic model based on a physical dynamic system. But instead of degradation abaci largely used in prognostic studies, we will adopt here analytic laws of degradation such as Paris’ law for fatigue degradation and Miner’s law for cumulative damage. Copyright© 2010 Praise Worthy