Plastics is very important in our lives; they used in all sectors from the high-performance industry to the mass-market industry. In this article, we will interest on the thermoplastic Acrylonitrile Butadiene Styrene (ABS) polymer; this choice is justified by the compatibility of ABS with a wide range of materials. The aim of this work is to evaluate the damage and the reliability of ABS for predict its residual lifetime.To do this, we used notched specimens of ABS prepared according to the ASTM standard, these last one are subject to tensile test at different ray of notch, The experimental results obtained have allowed us to follow the evolution the ultimate stress and then to calculate the damage. Thereafter, it was possible to identify three stages of damage that can predict at first initiation of the damage and the critical damage. Therefore, be able to intervene in time for predictive maintenance. This study also includes a correlation between two methods of calculating the damage namely static damage and damage by unified theory and this by analogy to cyclical behavior. The comparison showed good agreement.