Abstract
Long-term rupture data for 79 types of heat-resistant steels including carbon steel, low-alloy steel, high-alloy steel, austenitic stainless steel, and superalloy were analyzed, and a constant for the Larson–Miller (LM) parameter was obtained in the current study for each material. The calculated LM constant, C, is approximately 20 for heat-resistant steels and alloys except for high-alloy martensitic steels with high creep resistance, for which \( C \approx 30 \). The apparent activation energy was also calculated, and the LM constant was found to be proportional to the apparent activation energy with a high correlation coefficient, which suggests that the LM constant is a material constant possessing intrinsic physical meaning. The contribution of the entropy change to the LM constant is not small, especially for several martensitic steels with large values of C. Deformation of such martensitic steels should accompany a large entropy change of 10 times the gas constant at least, besides the entropy change due to self-diffusion.
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F.R. Larson and J. Miller: Trans. ASME, 1952, vol. 74, pp. 765–75.
RCC-MR Code Design and Construction Rules for Mechanical Components of FBR Nuclear Islands and High Temperature Applications Section 2: Materials, RM 0146.421, AFCEN, Paris, 2007, p. 9.
NIMS CREEP DATA SHEET (JIS STBA 22, 1Cr-0.5Mo, tube), No. 1B, K. Yagi, ed., National Institute for Materials Science (NIMS), Tsukuba, 1996, pp. 1–35.
NIMS CREEP DATA SHEET (JIS STBA 23, 1.25Cr-0.5Mo-Si, tube), No. 2B, H. Irie, ed. NIMS, Tsukuba, 2001, pp. 1–11.
NIMS CREEP DATA SHEET (JIS STBA 24, 2.25Cr-1Mo, tube), No. 3B, C. Tanaka, ed., NIMS, Tokyo, 1986, pp. 1–30.
NIMS CREEP DATA SHEET (JIS SUS 304H TB, 18Cr-8Ni, tube), No. 4B, C. Tanaka, ed., NIMS, Tokyo, 1986, pp. 1–32.
NIMS CREEP DATA SHEET (JIS SUS 321H TB, 18Cr-10Ni-Ti, tube), No.5B, C. Tanaka, ed., NIMS, Tokyo, 1987, pp. 1–32.
NIMS CREEP DATA SHEET No.6B (JIS SUS 316H TB, 18Cr-12Ni-Mo, tube), No.6B, H. Irie, ed., NIMS, Tsukuba, 2000, pp. 1–36.
NIMS CREEP DATA SHEET No.7B (JIS STB 410, 0.2C, tube), No.7B, C. Tanaka, ed., NIMS, Tokyo, 1992, pp. 1–23.
NIMS CREEP DATA SHEET (JIS STBA 12, 0.5Mo, tube), No.8B, C. Tanaka, ed., NIMS, Tokyo, 1991, pp. 1–23.
NIMS CREEP DATA SHEET No.9B (ASTM A470-8, 1Cr-1Mo-0.25V, Forging), No.9B, C. Tanaka, ed., NIMS, Tokyo, 1990, pp. 1–45.
NIMS CREEP DATA SHEET (JIS SUH 616-B, 12Cr-1Mo-1W-0.3V, bar), No.10B, H. Irie, ed., NIMS, Tsukuba, 1998, pp. 1–44.
NIMS CREEP DATA SHEET (JIS SCMV 4 NT, 2.25Cr-1Mo, NT plate), No. 11B, H. Irie, ed., NIMS, Tsukuba, 1997, pp. 1–29
NIMS CREEP DATA SHEET (JIS STBA 25, 5Cr-0.5Mo, tube), No.12B, C. Tanaka, ed., NIMS, Tokyo, 1992, pp. 1–25.
NIMS CREEP DATA SHEET (JIS SUS 403-B, 12Cr, bar), No.13B, K Yagi, ed., NIMS, Tokyo, 1994, pp. 1–44.
NIMS CREEP DATA SHEET (JIS SUS 316-HP, 18Cr-12Ni-Mo, plate), No.14B, C. Tanaka, ed., NIMS, Tokyo, 1988, pp. 1–28.
NIMS CREEP DATA SHEET (JIS SUS 316-B, 18Cr-12Ni-Mo, bar), No.15B, pp. 1-37, C. Tanaka, ed., NIMS, Tokyo, 1988.
NIMS CREEP DATA SHEET (JIS SCH 22-CF, 25Cr-20Ni-0.4C, cast tube), No.16B, C. Tanaka, ed., NIMS, Tokyo, 1990, pp. 1–35.
NIMS CREEP DATA SHEET (JIS SB 480, 0.3C, plate), No.17B, K. Yagi, ed., NIMS, Tokyo, 1994, pp. 1–39.
NIMS CREEP DATA SHEET (JIS SBV 2, 1.3Mn-0.5Mo-0.5Ni, plate), No.18B, C. Tanaka, ed., NIMS, Tokyo, 1987, pp. 1–28.
NIMS CREEP DATA SHEET (JIS STBA 26, 9Cr-1Mo, tube), No.19B, H. Irie, ed., NIMS, Tsukuba, 1997, pp. 1–29.
NIMS CREEP DATA SHEET (JIS STBA 20, 0.5Cr-0.5Mo, tube), No.20B, K. Yagi, ed., NIMS, Tokyo, 1994, pp. 1–28.
NIMS CREEP DATA SHEET (JIS SCMV 3 NT, 1.25Cr-0.5Mo-Si, NT plate), No.21B, K. Yagi, ed., NIMS, Tokyo, 1994, pp. 1–32.
NIMS CREEP DATA SHEET (JIS SCH 660, Fe-15Cr-26NiMo-Ti-V, disc), No.22B, C. Tanaka, ed., NIMS, Tokyo, 1993, pp. 1–31.
NIMS CREEP DATA SHEET (Alloy S590 and AMS 5770B, Fe-20Cr-20Ni-20Co-4W-4Nb, bar), No.23B, C. Tanaka, ed., NIMS, Tokyo, 1989, pp. 1–28.
NIMS CREEP DATA SHEET (Inconel Alloy 700 and AISI 687, Ni-15Cr-28Co-Mo-Ti-Al, bar), No.24B, C. Tanaka, ed., NIMS, Tokyo, 1989, pp. 1–34.
NIMS CREEP DATA SHEET (JIS SPV 490, SM 570 (Class 590), High strength steel, plate), No.25B, K. Yagi, ed., NIMS, Tokyo, 1994, pp. 1–34.
NIMS CREEP DATA SHEET (JIS NCF 800H TB, Fe-21Cr-32Ni-Ti-Al, tube), No.26B, H. Irie, ed., NIMS, Tsukuba, 1998, pp. 1–42.
NIMS CREEP DATA SHEET (JIS NCF 800H-P, Fe-21Cr-32Ni-Ti-Al, plate), No.27B, H. Irie, ed., NIMS, Tsukuba, 2000, pp. 1–40.
NIMS CREEP DATA SHEET (JIS SUS 347H TB, 18Cr-12Ni-Nb, tube), No.28B, H. Irie, ed., NIMS, Tsukuba, 2001, pp. 1–26.
NIMS CREEP DATA SHEET (Alloy 713C, Ni-13Cr-4.5Mo-0.75Ti-6Al-2.3Nb-Zr-B, casting), No.29B, C. Tanaka, ed., NIMS, Tokyo, 1990, pp. 1–43.
NIMS CREEP DATA SHEET (Alloy X 45, Co-25Cr-10Ni-7.5W-B, casting), No.30B, C. Tanaka, ed., NIMS, Tokyo, 1988, pp. 1–38.
NIMS CREEP DATA SHEET (ASTM A356/A356M-9, 1Cr-1Mo-0.25V, casting), No.31B, K. Yagi, ed., NIMS, Tokyo, 1994, pp. 1–41.
NIMS CREEP DATA SHEET (JIS SUS 304 HP, 18Cr-8Ni, plate), No.32A, K. Yagi, ed., NIMS, Tokyo, 1995, pp. 1–143.
NIMS CREEP DATA SHEET (Alloy N 155, Fe-21Cr-20Ni-20Co-3Mo-2.5W-Nb-N, casting and forging), No.33A, H. Irie, ed., NIMS, Tsukuba, 1999, pp. 1–10.
NIMS CREEP DATA SHEET (Alloy U 500, Ni-19Cr-18Co-4Mo-3Ti-3Al-B, casting and forging), No.34B, pp. 1-62, C. Tanaka, ed., NIMS, Tokyo, 1993, pp. 1–62.
NIMS CREEP DATA SHEET (JIS SCMV 2 NT, 1Cr-0.5Mo, plate), No.35B, K. Yagi, ed., NIMS, Tsukuba, 2002, pp. 1–34.
NIMS CREEP DATA SHEET (ASTM A542/A542M, 2.25Cr-1Mo, plate), No.36B, S. Matsuoka, ed., NIMS, Tsukuba, 2003, pp. 1–40.
NIMS CREEP DATA SHEET (JIS SCH 13, 25Cr-12Ni-0.4C, casting), No.37A, C. Tanaka, ed., NIMS, Tokyo, 1992, pp. 1–17.
NIMS CREEP DATA SHEET (JIS SCH 24, 25Cr-35Ni-0.4C, cast tube), No.38A, C. Tanaka, ed., NIMS, Tokyo, 1991, pp. 1–29.
NIMS CREEP DATA SHEET (JIS NCF 750-B, Ni-15.5Cr-2.5Ti-0.7Al-1Nb-7Fe, bar), No.39A, C. Tanaka, ed., NIMS, Tokyo, 1992, pp. 1–26.
NIMS CREEP DATA SHEET (JIS STB 510, 0.2C-1.3Mn, tube), No.40A, H. Irie, ed., NIMS, Tsukuba, 2000, pp. 1–23.
NIMS CREEP DATA SHEET (JIS NCF 600, Ni-15.5Cr-8Ni, bar, plate, and tube), No.41A, H. Irie, ed., NIMS, Tsukuba, 1999, pp. 1–38.
NIMS CREEP DATA SHEET (JIS SUS 316-HP, 18Cr-12Ni-Mo, plate), No.42, K. Yagi, ed., NIMS, Tsukuba, 1996, pp. 1–24.
NIMS CREEP DATA SHEET (ASME SA-213/213M Gr. T91 and ASME SA-387/387M Gr. 91, 9Cr-1Mo-V-Nb, tube and plate), No.43, H. Irie, ed., NIMS, Tsukuba, 1996, pp. 1–26.
NIMS CREEP DATA SHEET (1Cr-0.5Mo-0.25V and 12Cr-1Mo-1W-0.25V, bolting material), No.44, H. Irie, ed., NIMS, Tsukuba, 1996, pp. 1–39.
NIMS CREEP DATA SHEET (JIS SUS 316-HP, 18Cr-12Ni-Mo-middle N-low C, plate), No.45A, S. Matsuoka, ed., NIMS, Tsukuba, 2005, pp. 1–34.
NIMS CREEP DATA SHEET (KA-STBA 27, 9Cr-2Mo, tube), No.46A, S. Matsuoka, ed., NIMS, Tsukuba, 2005, pp. 1–15.
NIMS CREEP DATA SHEET (JIS NCF 800H-B, Fe-21Cr-32Ni-Ti-Al, bar), No.47, H. Irie, ed., NIMS, Tsukuba, 1999, pp. 1–25.
NIMS CREEP DATA SHEET (ASME SA-213/213M Gr. T92 and ASME SA-335/335M Gr. P92, 9Cr-0.5Mo-1.8W-V-Nb, tube and pipe), No.48, S. Matsuoka, ed., NIMS, Tsukuba, 2002, pp. 1–25.
NIMS CREEP DATA SHEET (Alloy IN 738LC, Ni-16Cr-8.5Co-3.5Al-3.5Ti-2.6W-1.8Mo-0.9Nb, casting), No.49A, T. Ogata, ed., NIMS, Tsukuba, 2012, pp. 1–20.
NIMS CREEP DATA SHEET, Additional data after publishing the final edition of the creep data sheets, No.50, S. Matsuoka, ed., NIMS, Tsukuba, 2004, pp. 1–53.
NIMS CREEP DATA SHEET (KA-SUS 410J3 TP, KA-SUS 410J3 and KA-SUS 410J3 TB, 11Cr-2W-0.4Mo-1Cu-Nb-V, pipe, plate and tube), No.51, K. Kimura, ed., NIMS, Tsukuba, 2006, pp. 1–24.
NIMS CREEP DATA SHEET (KA-SUS 410J3 DTB, 12Cr-2W-0.4Mo-1Cu-Nb-V, tube), No.52, K. Kimura, ed., NIMS, Tsukuba, 2006, pp. 1–12.
NIMS CREEP DATA SHEET (JIS SFVCM F22V, 2.25Cr-1Mo-V, forging), No.53, K. Kimura, ed., NIMS, Tsukuba, 2007, pp. 1–15.
NIMS CREEP DATA SHEET (KA-STBA 24J1 and KA-STPA 24J1, 2.25Cr-1.6W, tube), No.54, K. Kimura, ed., NIMS, Tsukuba, 2008, pp. 1–24.
NIMS CREEP DATA SHEET (JIS NW6002, Ni-21Cr-18Fe9Mo, bar), No.55, K. Kimura, ed., NIMS, Tsukuba, 2008, pp. 1–15.
NIMS CREEP DATA SHEET (KA-SUS 304J1 HTB, 18Cr-9Ni-3Cu-Nb-N, tube), No.56, K. Kimura, ed., NIMS, Tsukuba, 2009, pp. 1–12.
NIMS CREEP DATA SHEET (ASME SA-213/SA-213M Gr. TP347HFG, 18Cr-10Ni-Nb, tube), No.57, K. Kimura, ed., NIMS, Tsukuba, 2010, pp. 1–12.
NIMS CREEP DATA SHEET (KA-SUS 310J1 TB, 25Cr-20Ni-Nb-N, tube), No.58, K. Kimura, ed., NIMS, Tsukuba, 2011, pp. 1–11.
NIMS CREEP DATA SHEET (JIS NCF 718-B, Ni-19Cr-18Fe-3Mo-5Nb-Ti-Al, bar), No.59, pp. 1-14, K. Kimura, ed., NIMS, Tsukuba, 2011.
NIMS CREEP DATA SHEET, ATLAS of CREEP DEFEORMATION PROPERTY (ASME SA-213/213M Gr. T91 and ASME SA-387/387M Gr. 91, 9Cr-1Mo-V-Nb, tube and plate), No.D-1, K. Kimura, NIMS, 2007, pp. 1–167.
N. Yamanouchi, M. Tamura, H. Hayakawa, A. Hishinuma, and T. Kondo: J. Nucl. Mater., 1992, vols. 191–194, pp. 822–26.
K. Shiba and H. Tanigawa: JAEA, Rokkasho-mura, Aomori, unpublished research (Data Base for F-82H), 2011.
Y. Sawaragi, M. Igarashi, K. Okada, and H. Semba: Report of the 123 rd Committee on Heat-Resisting Materials and Alloys, Report No. 1661, Japan Society for the Promotion of Science, Tokyo, 2009, vol. 50(3), pp. 331–45.
N. Saito and N. Komai: Report of the 123rd Committee on Heat-Resisting Materials and Alloys, Report No. 1680, Japan Society for the Promotion of Science, Tokyo, 2010, vol. 51(1), pp. 73–79.
R. Watanabe and T. Kuno: Tetsu-to-Hagane, 1975, vol. 61, pp. 2274–94.
M. Tamura (Nippon) and K.K. Kokan (Kawasaki): personal communication, 1986.
R. Watanabe and Y. Chiba: Tetsu-to-Hagane, 1977, vol. 63, pp. 118-24.
F. Abe: Metall. Mater. Trans. A, 2005, vol. 36A, pp. 321–32.
A. Kabadwal, M. Tamura, K. Shinozuka, and H. Esaka: Metall. Mater. Trans. A, vol. 41A, pp. 364–79.
J.H. Hollomon and L.D. Jaffe: Trans. AIME, 1945, vol. 162, pp. 223–49.
K. Tamaki and J. Suzuki: Research Reports of the Faculty of engineering of Mie University, vol. 15, pp. 9–20, Mie University, Mie, 1990.
V.K. Sikka, R.E. McDonald, G.C. Bodine, and W.J. Stelzman: ORNL/TM-8425, ORNL, TN, 1982, pp. 1–41.
P. Feltham and J.D. Meakin: Acta Met., 1959, vol. 7, pp. 614–27.
P. Feltham: Proc. Phys. Soc., 1953, vol. B69, pp. 865–83.
M. Tamura, H. Esaka, and K. Shinozuka: ISIJ Int., 1999, vol. 39, pp. 380–87.
F.C. Monkman and N.J. Grant: ASTM Proceedings, 1956, vol. 56, pp. 593-620.
S. Spigarelli, L. Kloc, and P. Bontempi: Scripta Met., 1997, vol. 37, 399-404.
M. Tamura, H. Esaka, and K. Shinozuka: Mater. Trans., 2003, vol. 44, pp. 118–26.
O.D. Sherby, P.M. Burke: Mechanical Behavior of Crystalline Solids at Elevated Temperature, pp. 325-90, Pergamon Press, London, 1968.
R.L. Orr, O.D. Sherby, and J.E. Dorn: Trans. ASM, 1954, vol. 46, pp. 113–28.
H. Burt, J.P. Dennison, and B. Wilshire: Metal Sci., 1979, vol. 13, pp. 295-300.
M. Tamura, H. Esaka, and K. Shinozuka: Mater. Trans., JIM, 2000, vol. 41, pp. 272–28.
A. Iseda, H. Teranishi, and F. Masuyama: Tetsu-to-Hagane, 1990, vol. 76, pp. 1076–83.
Y.S. Lee and J. Yu: Metall. Mater. Trans. A, 1999, vol. 30A, pp. 2331–39.
V.K. Sikka, M.G. Cowgill, and B.W. Roberts: Proc. Topical Conf. Ferritic Alloys for Use in Nuclear Technology, Snowbird, UT, pp.713-23, American Nuclear Society, La Grange Park, IL, 1983.
G. Eggeler: Acta Metall., 1989, vol. 37, pp. 3225-34.
A. Strang and V. Vodarek: Mater. Sci. Technol., 1996, vol. 12, pp. 552-6.
H. Kushima, K. Kimura, and F. Abe: Tetsu-to-Hagane, 1999, vol. 85, pp. 841-7.
K. Suzuki, S. Kumai, H. Kushima, K. Kimura, and F. Abe: Tetsu-to-Hagane, 2000, vol. 86, pp. 550-7.
P.J. Ennis and A. Czyrska-Filemonowicz: Sadhana, 2003, vol. 28, pp. 709-30.
L. Cipolla, A.D. Gianfrancesco, D. Venditti, G. Cuminp, and S. Caminada: Proc. CREEP 8, Eight Int. Conf. on Creep and Fatigue at Elevated Temperatures (Creep 8), San Antonio, TX, CREEP2007-26030, ASME, 2007, pp. 1–15.
Y. Hosoi, N. Wada, S. Kunimitsu, and T. Urita: J. Nucle. Mater., 1986, vols. 141-143, pp. 461-7.
K. Kimura, K. Sawada, K. Kubo, andH. Kushima: ASME-PVP, 2004, vol. 476, pp. 11-8.
G.B. Gibbs: phys. stat. sol., 1964, vol. 5, pp. 693-6.
G. Schoeck: phys. stat. sol., 1965, vol. 8, pp. 499-507.
G.B. Gibbs: Phys. Stat. Sol., 1965, vol. 10, pp. 507-12.
G Schöck: Dislocations in Solids, F.R.N. Nabarro, ed., North-Holland Pub. Co., Amsterdam, 1980, pp. 63–163.
S. Taira, M. Inohara, and M. Fujino: Zairyo, 1973, vol. 21, pp. 743-9.
M. Tamura, H. Sakasegawa, Y. Kato, A. Kohyama, H. Esaka, and K. Shinozuka: ISIJ Int., 2002, vol. 42, pp. 1444-51.
H.Oikawa: The Technology Reports of the Tohoku University, vol. 47, pp. 67-77, tohoku University, Sendai, 1982.
P.G. Shewmon: Diffusion in Solids. MacGraw-Hill Book Co., New York, 1963, pp. 40–85.
O. Ajaja and A.J. Ardell: Philos. Mag., 1979, vol. 39, pp. 65–73.
M.E. Kassner: J. Mater. Sci., 1990, vol. 25, pp. 1997-2003.
A.H. Cottrell: Dislocations and Plastic Flow in Crystals, The Clarendon Press, Oxford, 1953, pp. 38–57.
P.D. Desai: J. Phys. Chem. Ref. Data, 1986, vol. 15, 967-83.
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Tamura, M., Abe, F., Shiba, K. et al. Larson–Miller Constant of Heat-Resistant Steel. Metall Mater Trans A 44, 2645–2661 (2013). https://doi.org/10.1007/s11661-013-1631-0
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DOI: https://doi.org/10.1007/s11661-013-1631-0