The inadequacies, in describing the high temperature creep damage of two industrial alloys (Part I) Introduction In Part I [1], the respective influence of the Von-Mises equivalent stress a and of the maximum principal stress <j pl on the high temperature creep damage of two industrial alloys (INCO 718 and 17-12 SPH stainless steel) are pointed out in a quantitative way through tensile-torsion biaxial tests. Through inversions of the shear component, the important part taken by the principal direction n pl corresponding to the maximum principal stress has been shown. Opposite results are observed according to whether the alloy suffers cyclic hardening (17 -12 SPH) or cyclic softening (INCO). These results are supported by metallographic observations. The effects, on the rupture time and rupture strain of a short preloading (prestrain effect) are pointed out. In this part, the interpretation and the modeling of such behavior are presented