In this paper, we chose HDPE pipes as a material for our study. On the one hand, we leaded a new approach of failure analysis and prediction using new models. They are obtained through a modified version of the stress controlled unified theory that includes materials' properties in addition to what is provided by Miner linear model. On the other hand, burst pressures calculations are done according to many theories and formulas that exist in the literature such as the formula of Faupel. Moreover, we compared a theoretical model to an experimental one. The theoretical model is using the burst pressures obtained from the Faupel formula. The experimental one is using the burst pressures obtained through experimental static tests done for HDPE pipes with variable depths of groove notches.

Furthermore, we established a mathematical model capable to estimate the damage of thermoplastic HDPE pipes, using burst pressures calculated originating from the Faupel's model proposed for metals. This model is based on the modification of the Faupel formula by introducing the pressures characterizing the HDPE pipes. This model has shown good accuracy and concordance with the experimental results.