Rapid assessment of the creep rupture life of metals: A model enabling experimental design

Joy, Jobin Kolliyil; Talapatra, Anjana Anu; Hoang, Minh-Tam; Mara, Nathan A.; Yamamoto, Yukinori; Detrois, Martin; Jablonski, Paul; Capolungo, Laurent

doi:10.1016/j.ijplas.2024.104133

Title: Rapid assessment of the creep rupture life of metals: A model enabling experimental design

Journal Article · 21 September 2024 · International Journal of Plasticity

DOI: https://doi.org/10.1016/j.ijplas.2024.104133 · OSTI ID:2472614

^[1];

^[2]; Mara, Nathan A. ^[2];

^[3];

^[4]; Jablonski, Paul ^[4]; Capolungo, Laurent ^[1]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
University of Minnesota, Twin Cities, MN (United States)
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
National Energy Technology Lab. (NETL), Albany, OR (United States)

Prediction of the creep rupture life of engineering metals is critical for qualification and design of new materials. The use of long-term creep tests and the need to quantify the performance variability in a priori similar systems hinder the rapid creep assessment of a given material. Therefore, it is essential to develop methods that can extrapolate the long-term performance of alloys and the associated variability from short-term experiments. To this end, this study introduces a new model which enables the estimation of the rupture life of a material for a given stress and temperature. This model relies on two components. First, a new relation for the minimum creep rate (MCR) of materials is introduced. It includes a stress dependent stress exponent allowing the model to capture the variation of MCR across a wide range of temperatures and stresses. Second, employing the Monkman-Grant (MG) law, we establish a relation between stress, temperature and creep rupture life. Together, these two elements yield a new closed-form mathematical expression for the Larson Miller parameter as a function of stress and temperature. This expression captures the creep rupture time for many metals (Gr91, Copper, Gr122 and 347H) and compares favorably with alternate empirical approaches. The model is then used to assess the minimum duration of creep rates necessary to qualify the material up to 100000h. Furthermore, it is found that depending on the material system, creep tests as few as five limited to 5000 h for steels (Gr91, Gr122, 347H) and 100 h for copper are sufficient to model creep lifetimes. Finally, using a Bayesian inference-based approach to calibrate the model, we demonstrate that variability in rupture life can be captured via the quantification of the uncertainty in the model parameters and extrapolated from a limited number of short to moderately short creep tests; thereby paving the way for accelerated creep testing.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE Office of Fossil Energy and Carbon Management (FECM); USDOE Office of Nuclear Energy (NE), Nuclear Energy University Program (NEUP); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001; NE0008888; AC05-00OR22725

OSTI ID:: 2472614

Report Number(s):: LA-UR--24-24532

Journal Information:: International Journal of Plasticity, Journal Name: International Journal of Plasticity Vol. 182; ISSN 0749-6419

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (61)

Grain boundary sliding in the presence of grain boundary precipitates during transient creep Wu, X. J.; Koul, A. K. Metallurgical and Materials Transactions A, Vol. 26, Issue 4 https://doi.org/10.1007/BF02649087	journal	April 1995
On grain boundary sliding and diffusional creep Raj, R.; Ashby, M. F. Metallurgical Transactions, Vol. 2, Issue 4 https://doi.org/10.1007/BF02664244	journal	April 1971
The mechanism of creep in gamma prime precipitation-hardened nickel-base alloys at intermediate temperatures Leverant, Gerald R.; Kear, Bernard H. Metallurgical Transactions, Vol. 1, Issue 2 https://doi.org/10.1007/BF02811560	journal	February 1970
Simple Data Analytics Approach Coupled with Larson–Miller Parameter Analysis for Improved Prediction of Creep Rupture Life Lee, Changho; Lee, Taejoo; Choi, Yoon Suk Metals and Materials International, Vol. 29, Issue 11 https://doi.org/10.1007/s12540-023-01445-3	journal	April 2023
Modification of Larson–Miller Parameter Technique for Predicting Creep Life of Materials Ghatak, Amitava; Robi, P. S. Transactions of the Indian Institute of Metals, Vol. 69, Issue 2 https://doi.org/10.1007/s12666-015-0803-6	journal	December 2015
A first report on deformation-mechanism maps Ashby, M. F. Acta Metallurgica, Vol. 20, Issue 7 https://doi.org/10.1016/0001-6160(72)90082-X	journal	July 1972
Intergranular fracture at elevated temperature Raj, Rishi; Ashby, M. F. Acta Metallurgica, Vol. 23, Issue 6 https://doi.org/10.1016/0001-6160(75)90047-4	journal	June 1975
Effects of triaxial stressing on creep cavitation of grain boundaries Sham, T. -L.; Needleman, A. Acta Metallurgica, Vol. 31, Issue 6 https://doi.org/10.1016/0001-6160(83)90120-7	journal	June 1983
Analysis of the cup-cone fracture in a round tensile bar Tvergaard, V.; Needleman, A. Acta Metallurgica, Vol. 32, Issue 1 https://doi.org/10.1016/0001-6160(84)90213-X	journal	January 1984
Mechanical behavior of crystalline solids at elevated temperature Sherby, Oleg D.; Burke, Peter M. Progress in Materials Science, Vol. 13 https://doi.org/10.1016/0079-6425(68)90024-8	journal	January 1968
On creep fracture by void growth Cocks, A. C. F.; Ashby, M. F. Progress in Materials Science, Vol. 27, Issue 3-4 https://doi.org/10.1016/0079-6425(82)90001-9	journal	January 1982
High-Temperature Creep Mukherjee, Amiya K. Treatise on Materials Science & Technology https://doi.org/10.1016/B978-0-12-341806-7.50010-6	book	January 1975
Five-power-law creep in single phase metals and alloys Kassner, M. E.; Pérez-Prado, M. -T Progress in Materials Science, Vol. 45, Issue 1 https://doi.org/10.1016/S0079-6425(99)00006-7	journal	January 2000
Creep cavitation in metals Kassner, M. E.; Hayes, T. A. International Journal of Plasticity, Vol. 19, Issue 10 https://doi.org/10.1016/S0749-6419(02)00111-0	journal	October 2003
An examination of the constitutive equation for elevated temperature plasticity Mukherjee, Amiya K. Materials Science and Engineering: A, Vol. 322, Issue 1-2 https://doi.org/10.1016/S0921-5093(01)01115-7	journal	January 2002
On apparent activation energies of creep in nickel-base superalloys Picasso, Alberto C.; Marzocca, Angel J. Scripta Materialia, Vol. 41, Issue 8 https://doi.org/10.1016/S1359-6462(99)00229-8	journal	September 1999
Mechanistic models for the activation volume and rate sensitivity in metals with nanocrystalline grains and nano-scale twins Asaro, Robert J.; Suresh, Subra Acta Materialia, Vol. 53, Issue 12 https://doi.org/10.1016/j.actamat.2005.03.047	journal	July 2005
Primary creep in single crystal superalloys: Origins, mechanisms and effects Rae, C. M. F.; Reed, R. C. Acta Materialia, Vol. 55, Issue 3 https://doi.org/10.1016/j.actamat.2006.09.026	journal	February 2007
Harper–Dorn creep Kassner, M. E.; Kumar, P.; Blum, W. International Journal of Plasticity, Vol. 23, Issue 6 https://doi.org/10.1016/j.ijplas.2006.10.006	journal	June 2007
Damage of ductile materials deforming under multiple plastic or viscoplastic mechanisms Besson, J. International Journal of Plasticity, Vol. 25, Issue 11 https://doi.org/10.1016/j.ijplas.2009.03.001	journal	November 2009
Precipitate coarsening-induced plasticity: Low temperature creep behaviour of tempered SAE 52100 Morra, P. V.; Radelaar, S.; Yandouzi, M. International Journal of Plasticity, Vol. 25, Issue 12 https://doi.org/10.1016/j.ijplas.2009.03.002	journal	December 2009
Activation volume and deviation from Cottrell–Stokes law at small grain size Duhamel, Cécilie; Brechet, Yves; Champion, Yannick International Journal of Plasticity, Vol. 26, Issue 5 https://doi.org/10.1016/j.ijplas.2009.10.003	journal	May 2010
A study of the creep behavior of modified 9Cr–1Mo steel using continuum-damage modeling Basirat, M.; Shrestha, T.; Potirniche, G. P. International Journal of Plasticity, Vol. 37 https://doi.org/10.1016/j.ijplas.2012.04.004	journal	October 2012
Relaxation of a precipitate misfit stress state by creep in the matrix Fischer, F. D.; Svoboda, J.; Antretter, T. International Journal of Plasticity, Vol. 64 https://doi.org/10.1016/j.ijplas.2014.08.014	journal	January 2015
Precipitate growth in multi-component systems with stress relaxation by diffusion and creep Svoboda, J.; Fischer, F. D.; Riedel, H. International Journal of Plasticity, Vol. 82 https://doi.org/10.1016/j.ijplas.2016.03.001	journal	July 2016
A crystal plasticity model based on transition state theory Wang, H.; Capolungo, L.; Clausen, B. International Journal of Plasticity, Vol. 93 https://doi.org/10.1016/j.ijplas.2016.05.003	journal	June 2017
Thermodynamic formulation of a unified multi-mechanism continuum viscoplastic damage model with application to high-Cr steels Cai, Xiaodan; Steinmann, Paul; Yao, Xiaohu International Journal of Plasticity, Vol. 114 https://doi.org/10.1016/j.ijplas.2018.09.011	journal	March 2019
Mechanism-based modeling of thermal and irradiation creep behavior: An application to ferritic/martensitic HT9 steel Wen, W.; Kohnert, A.; Arul Kumar, M. International Journal of Plasticity, Vol. 126 https://doi.org/10.1016/j.ijplas.2019.11.012	journal	March 2020
A mechanistic model for creep lifetime of ferritic steels: Application to Grade 91 Bieberdorf, Nathan; Tallman, Aaron; Kumar, M. Arul International Journal of Plasticity, Vol. 147 https://doi.org/10.1016/j.ijplas.2021.103086	journal	December 2021
Microstructure-sensitive modeling of high temperature creep in grade-91 alloy Kumar, Mariyappan Arul; Capolungo, Laurent International Journal of Plasticity, Vol. 158 https://doi.org/10.1016/j.ijplas.2022.103411	journal	November 2022
A continuum damage coupled unified viscoplastic model for simulating the mechanical behaviour of a ductile cast iron under isothermal low-cycle fatigue, fatigue-creep and creep loading Bartošák, Michal; Horváth, Jakub International Journal of Plasticity, Vol. 173 https://doi.org/10.1016/j.ijplas.2023.103868	journal	February 2024
Creep damage and life assessment of thick-walled spherical reactor using Larson–Miller parameter Loghman, Abbas; Moradi, Mehdi International Journal of Pressure Vessels and Piping, Vol. 151 https://doi.org/10.1016/j.ijpvp.2017.02.003	journal	March 2017
Examinations of equations for creep rupture life with a large creep database on grade 91 steel Maruyama, Kouichi; Dewees, Dave; Abe, Fujio International Journal of Pressure Vessels and Piping, Vol. 199 https://doi.org/10.1016/j.ijpvp.2022.104738	journal	October 2022
On the physical models for predicting the long-term creep strengths and lifetimes of modified 9Cr-1Mo steel Zhao, Y. R.; Yao, H. P.; Song, X. L. Journal of Alloys and Compounds, Vol. 726 https://doi.org/10.1016/j.jallcom.2017.08.082	journal	December 2017
Predictions of long-term creep life for the family of 9–12 wt% Cr martensitic steels Verma, Amit K.; Hawk, Jeffrey A.; Romanov, Vyacheslav Journal of Alloys and Compounds, Vol. 815 https://doi.org/10.1016/j.jallcom.2019.152417	journal	January 2020
Creep deformation mechanisms in modified 9Cr–1Mo steel Shrestha, Triratna; Basirat, Mehdi; Charit, Indrajit Journal of Nuclear Materials, Vol. 423, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2012.01.005	journal	April 2012
High-temperature creep behavior and microstructural evolution of an 18Cr9Ni3CuNbVN austenitic stainless steel Park, Dae-Bum; Hong, Sung-Min; Lee, Kyu-Ho Materials Characterization, Vol. 93 https://doi.org/10.1016/j.matchar.2014.03.012	journal	July 2014
Effect of nanocrystalline and ultrafine grain sizes on the strain rate sensitivity and activation volume: fcc versus bcc metals Wei, Q.; Cheng, S.; Ramesh, K. T. Materials Science and Engineering: A, Vol. 381, Issue 1-2 https://doi.org/10.1016/j.msea.2004.03.064	journal	September 2004
Creep and creep fracture of polycrystalline copper Wilshire, B.; Battenbough, A. J. Materials Science and Engineering: A, Vol. 443, Issue 1-2 https://doi.org/10.1016/j.msea.2006.08.094	journal	January 2007
Creep rupture behavior of Grade 91 steel Shrestha, Triratna; Basirat, Mehdi; Charit, Indrajit Materials Science and Engineering: A, Vol. 565 https://doi.org/10.1016/j.msea.2012.12.031	journal	March 2013
Creep deformation behavior of 9Cr1MoVNb (ASME Grade 91) steel Guguloth, Krishna; Roy, Nilima Materials Science and Engineering: A, Vol. 680 https://doi.org/10.1016/j.msea.2016.10.112	journal	January 2017
Causes of heat-to-heat variation of creep strength in grade 91 steel Maruyama, K.; Nakamura, J.; Sekido, N. Materials Science and Engineering: A, Vol. 696 https://doi.org/10.1016/j.msea.2017.04.050	journal	June 2017
A review of creep analysis and design under multi-axial stress states Yao, Hua-Tang; Xuan, Fu-Zhen; Wang, Zhengdong Nuclear Engineering and Design, Vol. 237, Issue 18 https://doi.org/10.1016/j.nucengdes.2007.02.003	journal	October 2007
Influence of Chemical Composition and Heat Treatment on Long-term Creep Strength of Grade 91 Steel Kimura, K.; Sawada, K.; Kushima, H. Procedia Engineering, Vol. 55 https://doi.org/10.1016/j.proeng.2013.03.211	journal	January 2013
Basic modelling of creep rupture in austenitic stainless steels He, Junjing; Sandström, Rolf Theoretical and Applied Fracture Mechanics, Vol. 89 https://doi.org/10.1016/j.tafmec.2017.02.004	journal	June 2017
Precipitate design for creep strengthening of 9% Cr tempered martensitic steel for ultra-supercritical power plants Abe, Fujio Science and Technology of Advanced Materials, Vol. 9, Issue 1 https://doi.org/10.1088/1468-6996/9/1/013002	journal	January 2008
A Time-Temperature Relationship for Rupture and Creep Stresses Larson, F. R.; Miller, James Journal of Fluids Engineering, Vol. 74, Issue 5 https://doi.org/10.1115/1.4015909	journal	July 1952
Prediction of Long-Term Creep Rupture Life of Grade 122 Steel by Multiregion Analysis Maruyama, K.; Nakamura, J.; Yoshimi, K. Journal of Pressure Vessel Technology, Vol. 137, Issue 2 https://doi.org/10.1115/1.4028203	journal	October 2014
Use of CDM in Materials Modeling and Component Creep Life Prediction Dyson, Brian Journal of Pressure Vessel Technology, Vol. 122, Issue 3 https://doi.org/10.1115/1.556185	journal	April 2000
A Unified View of Engineering Creep Parameters Eno, D. R.; Young, G. A.; Sham, T. -L. Volume 6: Materials and Fabrication, Parts A and B https://doi.org/10.1115/PVP2008-61129	conference	January 2008
Evaluation of Monkman–Grant strain as a key parameter in ductility exhaustion damage model to predict creep rupture of grade 92 steel Alang, Nasrul Azuan; Zhao, Lei; Nikbin, Kamran The Journal of Strain Analysis for Engineering Design, Vol. 57, Issue 5 https://doi.org/10.1177/03093247211027077	journal	June 2021
Continuum Models of Ductile Fracture: A Review Besson, J. International Journal of Damage Mechanics, Vol. 19, Issue 1 https://doi.org/10.1177/1056789509103482	journal	April 2009
Intergranular fracture during power-law creep under multiaxial stresses Cocks, A. C. F.; Ashby, M. F. Metal Science, Vol. 14, Issue 8-9 https://doi.org/10.1179/030634580790441187	journal	August 1980
A new methodology for analysis of creep and creep fracture data for 9–12% chromium steels Wilshire, B.; Scharning, P. J. International Materials Reviews, Vol. 53, Issue 2 https://doi.org/10.1179/174328008X254349	journal	March 2008
Microstructural stability and long term creep strength of grade 91 steel Kimura, K.; Sawada, K.; Kushima, H. Energy Materials, Vol. 4, Issue 4 https://doi.org/10.1179/174892312X13269692038897	journal	December 2009
Physical significance and reliability of Larson–Miller and Manson–Haferd parameters Pink, E. Materials Science and Technology, Vol. 10, Issue 4 https://doi.org/10.1179/mst.1994.10.4.340	journal	April 1994
Estimation and Inference via Bayesian Simulation: An Introduction to Markov Chain Monte Carlo Jackman, Simon American Journal of Political Science, Vol. 44, Issue 2 https://doi.org/10.2307/2669318	journal	April 2000
An Analysis of Flow Mechanisms in High Temperature Creep and Superplasticity Langdon, Terence G. MATERIALS TRANSACTIONS, Vol. 46, Issue 9 https://doi.org/10.2320/matertrans.46.1951	journal	January 2005
Advances in Physical Metallurgy and Processing of Steels. Strengthening Mechanisms of Creep Resistant Tempered Martensitic Steel. Maruyama, Kouichi; Sawada, Kota; Koike, Jun-ichi ISIJ International, Vol. 41, Issue 6 https://doi.org/10.2355/isijinternational.41.641	journal	January 2001
Creep Life Prediction of 10CrMo9–10 Steel by Larson–Miller Model Guštin, Agnieszka Zuzanna; Žužek, Borut; Podgornik, Bojan Materials, Vol. 15, Issue 13 https://doi.org/10.3390/ma15134431	journal	June 2022
Creep-Ductility of High Temperature Steels: A Review Holdsworth, Stuart Metals, Vol. 9, Issue 3 https://doi.org/10.3390/met9030342	journal	March 2019

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36 MATERIALS SCIENCE
Creep rupture life
Larson miller law
Strain rate sensitivity
Stress exponent

Title: Rapid assessment of the creep rupture life of metals: A model enabling experimental design

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