“…Kleiber et al (2004) used a response surface method approach to estimate the probability of sheet metal failures during the forming operation with the influence of uncertainties such as friction, material properties, thickness and blankholding force studied by the methodology of reliability theory. In a work conducted by Krusic et al (2009), FE simulations were applied to backward can extrusion, free upsetting, closed-die forging and forward rod extrusion in order to study the effects of scatter of the key process input parameters on the dimensional accuracy of products and on the tool service life. Furthermore, Rahman and Wei (2006) presented a univariate method to approximate multivariate functions by employing the Most Probable Point as the reference point for predicting failure probability of structural and mechanical systems subject to random loads, variations in material properties and geometry.…”