Session: 25-02 Deformation Modeling

Submission Number: 175136

Interpolated and Extrapolated Prediction According to Elapsed Time of Creep Deformation and Dynamic Phase Transition of Single Crystal Nickel Based Superalloys via the Discrete Cosine Transform and the Maximum Entropy Method 

For researchers and engineers, it would be helpful to be able to understand the dynamic phase transition by using the limited number of time-series metallographic charts published in several papers. It is well-known that the Discrete Cosine Transform can be used to express the creep equation and predict long-term creep curves with extrapolation (ASME TurboExpo2020). Moreover, it is well known that the Maximum Entropy method is utilized in radio astronomy and crystallography. In our previous research, it has been found out that the Maximum Entropy method incorporating the Discrete Cosine Transform can predict the lacked metallographic image between the two sequential metallographic images during the creep phase transition with interpolation (ASME TurboExpo2024). Moreover, it has been found out that the Discrete Cosine Transform supported by the Maximum Entropy method can predict the near future metallographic image following two chronologically sequential metallographic images during the creep phase transition with extrapolation (ASME TurboExpo2025).  However, because the number of meshes was 11  by 11, the reliability of the near future prediction with extrapolation is not high. Therefore, in ASME TurboExpo2026, we plan to increase the number of meshes from 11 by 11 to 200 by 200 for extrapolation prediction of the near future phase transition image of single crystal Nickel based superalloy for gas turbine blades to enhance the reliability of the near future extrapolation prediction. Furthermore, our previous researches have investigated the abilitiy of the Maximum Entropy method using information entropy, and we also plan to expand the research area to High Entropy Alloy (HEA) using the concept of configurational entropy to make use of the knowledge gained so far. 

Presenting Author: Hideo Hiraguchi The Institution of Professional Engineers, Japan (MEXT : Ministry of Education, Culture, Sports, Science and Technology, Japan)

Presenting Author Biography: Hideo Hiraguchi
･Bachelor of Engineering (Institute of Science Tokyo, Formaly:Tokyo Institute of Technology)
･Master of Engineering (Institute of Science Tokyo, Formaly:Tokyo Institute of Technology)
･Professional Engineer, Japan (Mechanical)
･APEC Engineer (Mechanical)
Mr. Hiraguchi has discovered a new creep equation of high temperature materials for gasturbines, boilers and so on using the Discrete Cosine Transform.
On the 11th June 2019, he made a presentation at ICM13 (IUTAM) on the new creep equation using the Discrete Cosine Transform in Melbourne, Australia.
On the 23th September 2020, he made a presentation at TurboExpo2020 (ASME) on the new prediction method of long-term creep curves using short-term creep data via the DiscreteCosine Transform.
On the 9th June 2021, he made a presentation at TurboExpo2021 (ASME) on "STUDY ON RELATIONSHIP BETWEEN DISLOCATION DENSITY AND CREEP STRAIN RATE OF SINGLE CRYSTAL Ni BASED SUPERALLOY FOR GAS TURBINES USING THE DISCRETE COSINE TRANSFORM".
On the 27th June 2023, he made a presentation at TurboExpo2023 (ASME) on "A NOVELESTIMATION METHOD FOR PHASE TRANSITION FOLLOWING HIGH TEMPERATURE CREEP STRAIN RATE OF SINGLE CRYSTAL Ni BASED SUPERALLOYS FOR GAS TURBINE BLADES VIA COMBINATION OF DISCRETE COSINE TRANSFORM AND MAXIMUM ENTROPY METHOD".
On the 28th June 2024, he made a presentation at TurboExpo2024 (ASME) on “Optimum Geometrical Models for Prediction of Phase Transition of Single Crystal Nickel Based Superalloys via the Discrete Cosine Transform and the Maximum Entropy Method”.
On the 20th June 2025, he made a presentation at TurboExpo2025 (ASME) on "FUTURE PREDICTION OF PHASE TRANSITION OF SINGLE CRYSTAL NICKEL BASED SUPERALLOYS FOR GAS TURBINE BLADES VIA DISCRETE COSINE TRANSFORM AND MAXIMUM ENTROPY METHOD".
List of papers
(1) H. Hiraguchi, “Study on the display formula of the rate constant α of the creep equation by the modified θ projection applied to the turbine material”, Proceedings of Asian Congress onGas Turbines 2018 (ACGT2018), ACGT2018-TS53, Morioka, Japan, August 22-24, 2018.
(2) H. Hiraguchi, “On the proposal of a new creep equation of high temperature materials”,Proceedings of the 56 th Symposium on Strength of Materials at High Temperatures of the Society of Materials Science, Japan, pp. 77-78, Ishigaki, Okinawa, Japan, December 6-7, 2018.
(3) H. Hiraguchi, “Study on New Creep Life Evaluation Method using Discrete CosineTransform”, Proceedings of the 13th International Conference on the Mechanical Behaviour of Materials (ICM13, IUTAM), Melbourne, Australia, 11-14 June, 2019, Paper ID: 13.
(4) H. Hiraguchi, “On the Expression of the Anomalous High-Temperature Creep Curve of Ni-Cr-W Superalloy by Single Equation using the Discrete Cosine Transform”, Proceedings of Ibaraki Conference 2019 of JSME, 22 August, 2019.
(5) H. Hiraguchi, “Study on the expression of the rate constant α of the creep equation by modified θ projection applied to turbine materials”, Heliyon (Elsevier) 5 (10), October, 2019.
(6) H. Hiraguchi, "Study on new creep equation using discrete cosine transform for high temperature materials", Heliyon (Elsevier) 5 (10), October, 2019.
(7) H. Hiraguchi, "Application of Two-Dimensional Discrete Cosine Transform to Coefficients of
Bailey-Norton Creep Law", Proceedings of ATEM'19 (International Conference on Advanced Technology in Experimental Mechanics 2019), JSME-MMD, October 7-10, 2019, Niigata, Japan.
(8) H. Hiraguchi, "NEW NUMERICAL ANALYSIS METHOD FOR CREEP LIFETIME OF GAS TURBINE MATERIALS BY USING THE DISCRETE COSINE TRANSFORM", Proceedings of ASME Turbo Expo2020, 23 September, 2020, GT2020-14029.
(9) H. Hiraguchi, "STUDY ON RELATIONSHIP BETWEEN DISLOCATION DENSITY AND CREEP STRAIN RATE
OF SINGLE CRYSTAL Ni BASED SUPERALLOY FOR GAS TURBINES USING THE DISCRETE COSINE TRANSFORM", Proceedings of ASME Turbo Expo 2021, 7-11 June, 2021, GT2021-58801.
(10) H. Hiraguchi, "A NOVEL ESTIMATION METHOD FOR PHASE TRANSITION FOLLOWING HIGH TEMPERATURE CREEP STRAIN RATE OF SINGLE CRYSTAL Ni BASED SUPERALLOYS FOR GASTURBINE BLADES VIA COMBINATION OF DISCRETE COSINE TRANSFORM AND MAXIMUM ENTROPY METHOD", Proceedings of ASME Turbo Expo 2023 (Turbomachinery Technical Conference and Exposition GT2023), GT2023-100786, June 26-30, 2023, Boston,Massachusetts, USA.
(11) H. Hiraguchi, “Optimum Geometrical Models for Prediction of Phase Transition of Single Crystal Nickel Based Superalloys via the Discrete Cosine Transform and the Maximum Entropy Method”, Proceedings of ASME Turbo Expo 2024 (Turbomachinery Technical Conference and Exposition GT2024), GT2024- 120879, June 24-28, 2024, London, United Kingdom.
(12)H. Hiraguchi, "FUTURE PREDICTION OF PHASE TRANSITION OF SINGLE CRYSTAL NICKEL BASED SUPERALLOYS FOR GAS TURBINE BLADES VIA DISCRETE COSINE TRANSFORM AND MAXIMUM ENTROPY METHOD", Proceedings of ASME Turbo Expo 2025 (Turbomachinery Technical Conference and Exposition GT2025), GT2025-151363, June 16-20, 2025, Memphis, Tennessee, USA.

Authors:

Hideo Hiraguchi The Institution of Professional Engineers, Japan (MEXT : Ministry of Education, Culture, Sports, Science and Technology, Japan)