Numerical study of the reliability of the fracture toughness determined experimentally by the IEF model, using Phimeca-soft

In this work, we performed a reliable study of the IEF model, which calculates the critical stress intensity factor, K_IC, already studied in our previous article (Daoud et al. Int J Adv Manuf Technol 92:569–581, 2017), by the Phimeca-soft, where we performed a parametric study of the variation of the reliability index (β) as a function of the crack length (a) of the three states G₁(x), G₂(x) and G₃(x) of the four sample types (R₂, R₄, R₁₀ and R₈₀), and also found the FORM/SORM results, as well as the histogram of elasticity of all variables used in the reliability study for the four sample types, with E26 galvanized sheet, safety and failure domains depending on the limit state used and importance of calculation variables on the reliability of the fracture. Then, the critical stress intensity factor (K_IC) was found by the analytical method (IEF Model) equal to 63.13 MPa.m^1/2 (accurate but not precise value), by the numerical method using the software Franc2D equal to 57.94 ± 4.29 MPa.m^1/2 (precise but not accurate value) and by the reliability method using the software Phimeca-soft equal to 38.93 ± 0.83 MPa.m^1/2 (accurate and precise value).