Study on the expression of the rate constant α of the creep equation by modified θ projection applied to turbine materials

Abstract

It is well-known that the creep equation obtained by the modified θ projection [2] describes well from the primary creep region to the tertiary creep region. However, unlike the power law such as that applied by the Bailey-Norton method, the stress variables and temperature variables are not found in the equation coefficients. Therefore, the users of this equation must find functions containing temperature variables and stress variables to display the equation coefficients. Thus, among the three coefficients A, α, and B included in the equation of the modified θ projection, the rate constant α, which exerts the largest influence on the curvature and the minimum creep strain rate of the creep curve [3], was selected as the object of investigation. Moreover, by considering the Cr-Mo-V steel and the Ni-based superalloy as examples, the expression of α was investigated. As a result, it was found that the discrete cosine transform and series can be applied not only to the coefficients of the creep equation but also to the creep equation itself. It is very important that the Fourier transform, which is considered to be applicable only to periodic functions, can be applied to non-periodic functions like a creep equation or its coefficients without apodizing such as windowing [9].

New Numerical Analysis Method for Creep Lifetime of Gas Turbine Materials by Using the Discrete Cosine Transform

“…For this research, Nickel based 16Cr-8.5Co-3.5Al-3.5Ti-2.6W-1.8Mo-0.9Nb superalloy from the database (No.49A) of National Institute for Materials Science (NIMS) was selected, because this superalloy has been used in the author's previous papers [11], [12] and is used for materials at elevated temperatures and high pressure such as gas turbine blade or so.…”

“…These results have never been obtained before. Because the Discrete Cosine Transform has the ability to be able to pass through all the measured points smoothly [11], [12]. In the 40-year long term creep data analysis, the Discrete Cosine Transform was able to fit the 40-year creep curve from the primary creep region to the tertiary creep region very well using 41 discrete signals [22].…”