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Research Papers: Materials and Fabrication

A Cyclic-Plasticity-Based Mechanistic Approach for Fatigue Evaluation of 316 Stainless Steel Under Arbitrary Loading

[+] Author and Article Information
Bipul Barua, Joseph T. Listwan, Saurindranath Majumdar, Krishnamurti Natesan

Nuclear Engineering Division,
Argonne National Laboratory,
Lemont, IL 60439

Subhasish Mohanty

Nuclear Engineering Division,
Argonne National Laboratory,
Lemont, IL 60439
e-mail: smohanty@anl.gov

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received June 27, 2017; final manuscript received November 2, 2017; published online December 5, 2017. Assoc. Editor: David L. Rudland. The United States Government retains, and by accepting the article for publication, the publisher acknowledges that the United States Government retains, a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for United States government purposes.

J. Pressure Vessel Technol 140(1), 011403 (Dec 05, 2017) (10 pages) Paper No: PVT-17-1117; doi: 10.1115/1.4038525 History: Received June 27, 2017; Revised November 02, 2017

In this paper, a cyclic-plasticity-based fully mechanistic fatigue modeling approach is presented. This is based on time-dependent stress–strain evolution of the material over the entire fatigue life rather than just based on the end of live information typically used for empirical S∼N curve-based fatigue evaluation approaches. Previously, we presented constant amplitude fatigue test based related material models for 316 stainless steel (SS) base, 508 low alloy steel base, and 316 SS-316 SS weld which are used in nuclear reactor components such as pressure vessels, nozzles, and surge line pipes. However, we found that constant amplitude fatigue data-based models have limitation in capturing the stress–strain evolution under arbitrary fatigue loading. To address the aforementioned limitation, in this paper, we present a more advanced approach that can be used for modeling the cyclic stress–strain evolution and fatigue life not only under constant amplitude but also under any arbitrary (random/variable) fatigue loading. The related material model and analytical model results are presented for 316 SS base metal. Two methodologies (either based on time/cycle or based on accumulated plastic strain energy (APSE)) to track the material parameters at a given time/cycle are discussed and associated analytical model results are presented. From the material model and analytical cyclic plasticity model results, it is found that the proposed cyclic plasticity model can predict all the important stages of material behavior during the entire fatigue life of the specimens with more than 90% accuracy.

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References

ASME, 2013, “Section III, Division 1, Rules for Construction of Nuclear Facility Components,” American Society of Mechanical Engineers, New York, Standard No. BPVC-III NB-2013. https://www.asme.org/products/courses/bpv-code-section-iii-division-1-rules
Chopra, O. K., and Shack, W. J. , 2007, “Effect of LWR Coolant Environments on the Fatigue Life of Reactor Materials,” Office of Nuclear Regulatory Research, U.S. NRC Report, No. NUREG/CR-6909. https://www.nrc.gov/docs/ML0706/ML070660620.pdf
BSI, 2012, “Unfired Pressure Vessels—Part 3: Design,” The British Standards Institution, Washington, DC, Standard No. EN 13445-3/prA4. https://www.din.de/en/getting-involved/standards-committees/fnca/projects/wdc-proj:din21:110688055
British Energy Generation, 2003, “Assessment Procedure for the High Temperature Response of Structures,” British Energy Generation, Glouceaterahire, UK.
JSME, 2012, “Codes for Nuclear Power Generation Facilities—Rules on Design and Construction for Nuclear Power Plants,” Japan Society of Mechanical Engineers, Tokyo, Japan , Standard No. JSME S NC1-2012.
Miner, M. A. , 1945, “ Cumulative Fatigue Damage,” ASME J. Appl. Mech., 12(3), pp. A159–A164.
Kamaya, M. , and Kawakubo, M. , 2015, “ Loading Sequence Effect on Fatigue Life of Type 316 Stainless Steel,” Int. J Fatigue, 81, pp. 10–20. [CrossRef]
Kamaya, M. , and Kawakubo, M. , 2010, “ Damage Due to Low-Cycle Fatigue of Type 316 Stainless Steel: Fatigue Life Under Variable Loading and Influence of Internal Cracks,” Nippon Kikai Gakkai Ronbunshu, A Hen, 76(768), pp. 1048–1058. https://inis.iaea.org/search/search.aspx?orig_q=RN:42009248
Colin, J. , and Fatemi, A. , 2010, “ Variable Amplitude Cyclic Deformation and Fatigue Behaviour of Stainless Steel 304 L Including Step, Periodic, and Random Loadings,” Fatigue Fract. Eng. Mater. Struct., 33(4), pp. 205–220. [CrossRef]
Fissolo, A. , and Stelmaszyk, J. M. , 2009, “A First Investigation on Cumulative Fatigue Life for a Type 304-L Stainless Steel Used for Pressure Water Reactor,” ASME Paper No. PVP2009-77156.
Ozeki, H. , Hasunuma, S. , and Ogawa, T. , 2013, “ The Effect of Variable Amplitude Strain Conditions on Low Cycle Fatigue Strength of Stainless Steel SUS316 L,” J. Soc. Mater. Sci., 62, pp. 201–206. [CrossRef]
Bernard-Connolly, M. , Bui-Quoc, T. , and Biron, A. , 1983, “ Multilevel Strain Controlled Fatigue on a Type 304 Stainless Steel,” J. Eng. Mater. Tech., 105(3), pp. 188–94. [CrossRef]
Solin, J. P. , 2006, “Fatigue of Stabilized SS and 316 NG Alloy in PWR Environment,” ASME Paper No. PVP2006-ICPVT-11-93833.
Ranganath, S. , and Mehta, H. S. , 2015, “An Examination of the Role of the Assumed Young's Modulus Value at the High Cycle End of ASME Code Fatigue Curve for Stainless Steels,” ASME Paper No. PVP2015-45619.
Mehta, H. S. , Griesbach, T. J. , Sommerville, D. V. , and Stevens, G. L. , 2011, “Additional Improvements to Appendix G of ASME Section XI Code for Nozzles,” ASME Paper No. PVP2011-57015.
Wilhelm, P. , Steinmann, P. , and Rudolph, J. , 2015, “Fatigue Strain–Life Behavior of Austenitic Stainless Steels in Pressurized Water Reactor Environments,” ASME Paper No. PVP2015-45011.
Roiko, A. , Solin, J. P. , and Murakami, Y. , 2014, “ Inclined Defects and Their Effect on the Fatigue Limit and Small Crack Growth,” MATEC Web Conf., 12, p. 07002. [CrossRef]
Seppänen, T. , Alhainen, J. , Arilahti, E. , and Solin, J. , 2017, “Strain Waveform Effects for Low Cycle Fatigue in Simulated PWR Water,” ASME Paper No. PVP2017-65374.
Platts, N. , Tice, D. R. , and Nicholls, J. , 2015, “Study of Fatigue Initiation of Austenitic Stainless Steel in a High Temperature Water Environment and in Air Using Blunt Notch Compact Tension Specimens,” ASME Paper No. PVP2015-45844.
Shi, J. , Wei, L. , Faidy, C. , Wasylyk, A. , and Prinja, N. , 2016, “A Comparison of Different Design Codes on Fatigue Life Assessment Methods,” ASME Paper No. PVP2016-63040.
Shit, J. , Dhar, S. , and Acharyya, S. , 2013, “ Modeling and Finite Element Simulation of Low Cycle Fatigue Behaviour of 316 SS,” Proc. Eng., 55, pp. 774–779. [CrossRef]
Dafalias, Y. F. , and Popov, E. P. , 1975, “ A Model of Nonlinearly Hardening Materials for Complex Loading,” Acta Mech., 21(3), pp. 173–192. [CrossRef]
Armstrong, P. J. , and Frederick, C. O. , 1966, A Mathematical Representation of the Multiaxial Bauschinger Effect, Central Electricity Generating Board and Berkeley Nuclear Laboratories, Gloucestershire, UK.
Chaboche, J. L. , 1986, “ Time-Independent Constitutive Theories for Cyclic Plasticity,” Int. J. Plast., 2(2), pp. 149–188. [CrossRef]
Chaboche, J. L. , 1991, “ On Some Modifications of Kinematic Hardening to Improve the Description of Ratchetting Effects,” Int. J. Plast., 7(7), pp. 661–678. [CrossRef]
Chaboche, J. L. , and Rousselier, G. , 1983, “ On the Plasticity and Viscoplasticity Constitutive Equations—Part II: Application of Internal Variable Concepts to the 316 Stainless Steel,” ASME J. Pressure Vessel Technol., 105(2), pp. 159–164. [CrossRef]
Ohno, N. , Takahashi, Y. Y. , and Kuwabara, K. K. , 1989, “ Constitutive Modeling of Anisothermal Cyclic Plasticity of 304 Stainless Steel,” ASME J. Eng. Mater. Technol., 111(1), pp. 106–114. [CrossRef]
Syed, S. M. , Hassan, T. , and Corona, E. , 2008, “ Evaluation of Cyclic Plasticity Models in Ratcheting Simulation of Straight Pipes Under Cyclic Bending and Steady Internal Pressure,” Int. J Plast., 24(10), pp. 1756–1791. [CrossRef]
Zhang, K. , and Aktaa, J. , 2016, “ Characterization and Modeling of the Ratcheting Behavior of the Ferritic–Martensitic Steel P91,” J. Nucl. Mater., 472, pp. 227–239. [CrossRef]
Rudolph, J. , Gilman, T. , Weitze, B. , Willuweit, A. , and Kalnins, A. , 2016, “ Using Nonlinear Kinematic Hardening Material Models for Elastic–Plastic Ratcheting Analysis,” ASME J. Pressure Vessel Technol., 138(5), p. 051205. [CrossRef]
Kang, G. , Ohno, N. , and Nebu, A. , 2003, “ Constitutive Modeling of Strain Range Dependent Cyclic Hardening,” Int. J. Plast., 19(1), pp. 1801–1819. [CrossRef]
Ohno, N. , and Wang, J. D. , 1993, “ Kinematic Hardening Rules With Critical State of Dynamic Recovery—Part I: Formulation and Basic Features for Ratchetting Behavior,” Int. J. Plast., 9(3), pp. 375–390. [CrossRef]
Sumit, G. , Gupta, S. K. , Sivaprasad, S. , Tarafder, S. , Bhasin, V. , Vaze, K. K. , and Ghosh, A. K. , 2013, “ Low Cycle Fatigue and Cyclic Plasticity Behavior of Indian PHWR/AHWR Primary Piping Material,” Proc. Eng., 55, pp. 136–143. [CrossRef]
Mohanty, S. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2015, “Effect of Pressurized Water Reactor Environment on Material Parameters of 316 Stainless Steel: A Cyclic Plasticity Based Evolutionary Material Modeling Approach,” ASME Paper No. PVP2015-45701.
Mohanty, S. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2016, “ Chaboche-Based Cyclic Material Hardening Models for 316 SS–316 SS Weld Under in-Air and Pressurized Water Reactor Water Conditions,” Nucl. Eng. Des., 305, pp. 524–530. [CrossRef]
Mohanty, S. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2015, “Tensile and Fatigue Testing and Material Hardening Model Development for 508 LAS Base Metal and 316 SS Similar Metal Weld Under In-air and PWR Primary Loop Water Conditions,” Argonne National Laboratory, Lemont, IL, Report No. ANL/LWRS-15/02.
Mohanty, S. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2016, “ In-Air and Pressurized Water Reactor Environment Fatigue Experiments of 316 Stainless Steel to Study the Effect of Environment on Cyclic Hardening,” J. Nucl. Mater., 473, pp. 290–299. [CrossRef]
Mohanty, S. , Barua, B. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2016, “Study the Cyclic Plasticity Behavior of 508 LAS Under Constant, Variable and Grid-Load-Following Loading Cycles for Fatigue Evaluation of PWR Components,” Argonne National Laboratory, Lemont, IL, Report No. ANL/LWRS-16/03. http://www.ipd.anl.gov/anlpubs/2016/10/130694.pdf
Mohanty, S. , Soppet, W. K. , Barua, B. , Majumdar, S. , and Natesan, K. , 2017, “ Modeling the Cycle-Dependent Material Hardening Behavior of 508 Low Alloy Steel,” Exp. Mech., 57(6), pp. 847–855. [CrossRef]
Barua, B. , Mohanty, S. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2017, “Fatigue Modeling of 508 LAS Under Variable Amplitude Loading: A Mechanistic Based Analytical Approach,” ASME Paper No. PVP2017-65876.
Wilkins, M. L. , 1963, “Calculation of Elastic-plastic Flow,” California University Livermore Radiation Lab, Livermore, CA, Report No. UCRL-7322.
Koh, S. K. , 2002, “ Fatigue Damage Evaluation of a High Pressure Tube Steel Using Cyclic Strain Energy Density,” Int. J. Pressure Vessel Piping, 79(12), pp. 791–798. [CrossRef]
Lin, X. , and Halcheng, G. , 1998, “ Plastic Energy Dissipation Model for Lifetime Prediction of Zirconium and Zircaloy-4 Fatigued at RT and 400 C,” ASME J. Eng. Mater. Technol., 120(2), pp. 114–118. [CrossRef]
Łagoda, T. , 2001, “ Energy Models for Fatigue Life Estimation Under Uniaxial Random Loading—Part I: The Model Elaboration,” Int. J. Fatigue, 23(6), pp. 467–480. [CrossRef]
Fekete, B. , 2015, “ New Energy-Based Low Cycle Fatigue Model for Reactor Steels,” Mater. Des., 79, pp. 42–52. [CrossRef]
Sarkar, S. , Kumawat, B. K. , and Chakravartty, J. K. , 2015, “ Low Cycle Fatigue Behavior of a Ferritic Reactor Pressure Vessel Steel,” J. Nucl. Mater., 462, pp. 273–279. [CrossRef]
Kadhim, A. N. , Mustafa, M. , and Varvani-Farahani, A. , 2015, “ Fatigue Life Prediction of Low−Alloy Steel Samples Undergoing Uniaxial Random Block Loading Histories Based on Different Energy−Based Damage Descriptions,” Fatigue Frac. Eng. Mater. Struc., 38(1), pp. 69–79. [CrossRef]
Morrow, J. , 1965, “Cyclic Plastic Strain Energy and Fatigue of Metals,” ASTM International, West Conshohocken, PA, Standard No. STP378.
Halford, G. R. , 1966, “ The Energy Required for Fatigue (Plastic Strain Hysteresis Energy Required for Fatigue in Ferrous and Nonferrous Metals),” J. Mater., 1, pp. 3–18.
Leis, B. N. , 1977, “ An Energy-Based Fatigue and Creep-Fatigue Damage Parameter,” ASME J. Pressure Vessel Technol., 99(4), pp. 524–533. [CrossRef]
Mohanty, S. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2014, “Environmental Effect on Evolutionary Cyclic Plasticity Material Parameters of 316 Stainless Steel: An Experimental & Material Modeling Approach,” Argonne National Laboratory, Lemont, IL, Report, No. ANL/LWRS-14/01. http://www.ipd.anl.gov/anlpubs/2014/10/79424.pdf
Mohanty, S. , Soppet, W. K. , Majumdar, S. , and Natesan, K. , 2013, “Status Report on Assessment of Environmentally Assisted Fatigue for LWR Extended Service Conditions,” Argonne National Laboratory, Lemont, IL, Report No. ANL/LWRS–13/3. http://www.ipd.anl.gov/anlpubs/2014/03/77742.pdf

Figures

Grahic Jump Location
Fig. 1

Block loading during: (a) variable amplitude (ET-F38) and (b) random amplitude (ET-F40) tests

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Fig. 2

Time/cycle-dependent nonlinear kinematic hardening parameter, C1 estimated from constant-amplitude fatigue tests ET-F06 and ET-F41

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Fig. 3

(a) Time/block-dependent and (b) APSE-dependent (the y-data corresponding to x = 0 is ignored in the semilogx plot) nonlinear kinematic hardening parameter, C1 estimated from variable-amplitude fatigue test

Grahic Jump Location
Fig. 4

Simulated versus experimental axial stress history of: (a) ET-F41, (b) ET-F06, and (c) ET-F38. Predictions are from simulation using time-dependent parameters estimated form respective test and two sets of time-independent parameters (tensiletest ET-T04 and half-life cycle/block of respective test).

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Fig. 5

Magnified versions of Fig. 4(a) showing the ability of evolutionary cyclic plasticity model (time/cycle-dependent prediction) to predict (a) initial hardening, (b) softening followed by quasi-stable state, and (c) the fast stress drop toward the end of the specimen's fatigue life representing unstable or rapid crack propagation behavior of 316 SS under constant-amplitude loading

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Fig. 6

Magnified versions of Fig. 4(c) showing the ability of evolutionary cyclic plasticity model (time/block-dependent prediction) to predict (a) initial hardening, (b) softening followed by quasi-stable state, and (c) the fast stress drop toward the end of the specimen's fatigue life representing unstable or rapid crack propagation behavior of 316 SS under variable-amplitude loading

Grahic Jump Location
Fig. 7

Simulated versus experimental axial stress history of (a) ET-F41 and (b) ET-F06. Predictions are from simulation using APSE-dependent parameters estimated from variable-amplitude test ET-F38.

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Fig. 8

Simulated versus experimental axial stress history of ET-F38. Prediction is from simulation using APSE-dependent parameters estimated from variable-amplitude test ET-F38.

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Fig. 9

Simulated versus experimental axial stress history of ET-F40. Predictions are from simulation using APSE-dependent material parameters estimated from variable-amplitude test (ET-F38) and fixed parameters estimated from tensile test (ET-T04).

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Fig. 10

Experimental and predicted (a) stress and (b) hysteresis plots correspond to the applied strain, shown in Fig. 1(b) (magnified inset), during ET-F40

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