*National Research Institute for Metals, 1-2-1 Sengen Tsukuba-shi, Ibaraki, Japan**CNR—TEMPE, Via R. Cozzi 53, 20125 Milano, Italy(Received April 10, 2000)(Accepted in revised form May 22, 2000)Keywords: Nickel alloy; Creep; MicrostructureIntroductionFor temperatures/stresses that are relevant for the service, the shape of creep curves in nickel basesuperalloys is dominated by an extensive tertiary behaviour over most of the life, rather than a dominantsteady state. To describe such accelerated creep behaviour a strain, rather than a time–softening,approach [1] appears to be more appropriated. For single crystal or, in general, directionally solidifiednickel base superalloys, the following linear strain softening relationship is often utilized [2–4]:e˙5 e˙8~1 1 Ce! (1)where e˙ is the instantaneous strain rate, e˙° is the strain rate at the beginning of tertiary creep,eis thetertiary creep strain and C is a damage coefficient, generally depending on stress and temperature,which leads to a progressive increase in the creep rate with the accumulated creep strain.The Eq. 1 is also utilized in the uconcept methodology, in fact its analytical solution is identical tothe portion of the uconcept function [5] describing the tertiary creep with u