Abstract
Previous studies, including ASME and RCC-MR standards, did not consider the influence of environmental factors on the ratcheting boundary of the material, and only a unified ratcheting boundary was proposed. In this paper, thermal aging was taken into consideration, and the effect of thermal aging time on the ratcheting boundary of 316LN austenitic stainless steel was characterized by the efficiency diagram rule. The results show that, when the secondary ratio U is small, there is no significant difference in ratcheting boundary between the original material and the thermal aged material. When the secondary ratio U is large, the ratcheting boundary of the material presents a slight upward trend with the increase of thermal aging time. Compared with ASME and RCC-MR standards, it is found that RCC-MR is conservative. Based on the evolution of the efficiency index V with the number of cycles, it is more conservative and reasonable to choose the stage when the efficiency index V develops into a constant.
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References
Wang L S, Gang Z. Aging management methods for nuclear power plant components. Nucl Pow Eng, 2004, 25: 79–82
Varvani-Farahani A, Nayebi A. Ratcheting in pressurized pipes and equipment: A review on affecting parameters, modelling, safety codes, and challenges. Fatigue Fract Eng Mater Struct, 2018, 41: 503–538
Chen X, Gao B, Chen G. Ratcheting study of pressurized elbows subjected to reversed in-plane bending. J Pressure Vessel Tech, 2006, 128: 525–532
Chen X, Chen X, Yu D, et al. Recent progresses in experimental investigation and finite element analysis of ratcheting in pressurized piping. Int J Pressure Vessels Piping, 2013, 101: 113–142
Chen X, Chen X, Yu W, et al. Ratcheting behavior of pressurized 90° elbow piping subjected to reversed in-plane bending with a combined hardening model. Int J Pressure Vessels Piping, 2016, 137: 28–37
Liu C, Yu D, Akram W, et al. Thermal aging effect on the ratcheting behavior of pressurized elbow pipe. J Pressure Vessel Tech, 2018, 140: 021604
Liu C, Shi S, Cai Y, et al. Ratcheting behavior of pressurized-bending elbow pipe after thermal aging. Int J Pressure Vessels Piping, 2019, 169: 160–169
Liu C, Yu D, Akram W, et al. Ratcheting behavior of pressurized elbow pipe at intrados under different loading paths. Thin-Walled Struct, 2019, 138: 293–301
Shariati M, Kolasangiani K, Golmakani H. Cyclic behavior of ss316L cylindrical shells under pure torsional load: An experimental investigation. Thin-Walled Struct, 2016, 109: 242–250
Foroutan M, Ahmadzadeh G R, Varvani-Farahani A. Axial and hoop ratcheting assessment in pressurized steel elbow pipes subjected to bending cycles. Thin-Walled Struct, 2018, 123: 317–323
Hübel H. Basic conditions for material and structural ratcheting. Nucl Eng Des, 1996, 162: 55–65
Ponter A R S, Chen H. A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit. Eur J Mech-A/Solids, 2001, 20: 539–553
Chen H, Ponter A R S. A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading. Eur J Mech-A/Solids, 2001, 20: 555–571
Ponter A R S, Carter K F. Shakedown state simulation techniques based on linear elastic solutions. Comput Methods Appl Mech Eng, 1997, 140: 259–279
Jappy A, Mackenzie D, Chen H. A fully implicit, lower bound, multiaxial solution strategy for direct ratchet boundary evaluation: Theoretical development. J Pressure Vessel Tech, 2013, 135: 051202
Jappy A, Mackenzie D, Chen H. A fully implicit, lower bound, multiaxial solution strategy for direct ratchet boundary evaluation: Implementation and comparison. J Pressure Vessel Tech, 2014, 136: 011205
Adibi-Asl R, Reinhardt W. Non-cyclic shakedown/ratcheting boundary determination—Part 1: Analytical approach. Int J Pressure Vessels Piping, 2011, 88: 311–320
Adibi-Asl R, Reinhardt W. Non-cyclic shakedown/ratcheting boundary determination—Part 2: Numerical implementation. Int J Pressure Vessels Piping, 2011, 88: 321–329
Reinhardt W. A noncyclic method for plastic shakedown analysis. J Pressure Vessel Tech, 2008, 130: 031209
Adibi-Asl R, Reinhardt W. Ratchet boundary determination using a noncyclic method. J Pressure Vessel Tech, 2010, 132: 021201
Muscat M, Mackenzie D, Hamilton R. Evaluating shakedown under proportional loading by non-linear static analysis. Comput Struct, 2003, 81: 1727–1737
SantAnna R, Zouain N. A direct method for ratchet boundary determination. Eur J Mech-A/Solids, 2019, 75: 156–168
Chen H, Ure J, Tipping D. Calculation of a lower bound ratchet limit, Part 1—Theory, numerical implementation and verification. Eur J Mech-A/Solids, 2013, 37: 361–368
Ure J, Chen H, Tipping D. Calculation of a lower bound ratchet limit Part 2—Application to a pipe intersection with dissimilar material join. Eur J Mech-A/Solids, 2013, 37: 369–378
Cho N K, Chen H. Shakedown, ratchet, and limit analyses of 90° back-to-back pipe bends under cyclic in-plane opening bending and steady internal pressure. Eur J Mech-A/Solids, 2018, 67: 231–242
Zheng X, Peng H, Yu J, et al. Analytical ratchet limit for pressurized pipeline under cyclic nonproportional loadings. J Pipeline Syst Eng Pract, 2017, 8: 04017002
Gao B, Chen X, Chen G. Ratchetting and ratchetting boundary study of pressurized straight low carbon steel pipe under reversed bending. Int J Pressure Vessels Piping, 2006, 83: 96–106
Liang T, Chen G, Zhang Q, et al. Ratcheting boundary analysis of straight and elbow piping. AMR, 2010, 118–120: 131–135
Chen X H, Chen X, Li Z F. Ratcheting boundary of pressurized pipe under reversed bending. Steel Compos Struct, 2019, 32: 313–323
Bradford R A W, Tipping D J. The ratchet-shakedown diagram for a thin pressurised pipe subject to additional axial load and cyclic secondary global bending. Int J Pressure Vessels Piping, 2015, 134: 92–100
Bree J. Elastic-plastic behaviour of thin tubes subjected to internal pressure and intermittent high-heat fluxes with application to fast-nuclear-reactor fuel elements. J Strain Anal, 1967, 2: 226–238
Bree J. Plastic deformation of a closed tube due to interaction of pressure stresses and cyclic thermal stresses. Int J Mech Sci, 1989, 31: 865–892
ASME. ASME Boiler and Pressure Vessel Code, Section VIII (Div. 2). New York: The American Society of Mechanical Engineer, 2010
RCC-MR. Design Rules for Class 1 Equipment. RCC-MR Codes, RB, 2007
Yamamoto Y, Yamashita N, Tanaka M. Evaluation of thermal stress ratchet in plastic FEA. In: ASME 2002 Pressure Vessels and Piping Conference. Vancouver, 2002. 3–10
Cousseran P, Clement G, Lebey J, et al. Simplified design rule for ratchetting analysis. In: Pressure Vessels Piping Conference. Orlando, 1982. CEA-CONF-6364, FR 8203283
Wang M, Chen L, Liu X, et al. Influence of thermal aging on the SCC susceptibility of wrought 316LN stainless steel in a high temperature water environment. Corrosion Sci, 2014, 81: 117–124
Mudali U K, Dayal R K, Gnanamoorthy J B, et al. Influence of thermal aging on the intergranular corrosion resistance of types 304LN and 316LN stainless steels. MMTA, 1996, 27: 2881–2887
Shankar P, Shaikh H, Sivakumar S, et al. Effect of thermal aging on the room temperature tensile properties of AISI type 316LN stainless steel. J Nucl Mater, 1999, 264: 29–34
ASTM. Standard Practice for Strain-Controlled Axial-Torsional Fatigue Testing with Thin-Walled Tubular Specimens. West Conshohocken: American Society for Testing and Materials, 2006. E220702
Wolters J, Breitbach G, Rödig M, et al. Investigation of the ratcheting phenomenon for dominating bending loads. Nucl Eng Des, 1997, 174: 353–363
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This work was supported by the National Natural Science Foundation of China (Grant No. 51435012).
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Liu, C., Ogunmola, O., Li, B. et al. Ratcheting boundary of 316LN austenitic stainless steel under thermal aging. Sci. China Technol. Sci. 64, 2595–2607 (2021). https://doi.org/10.1007/s11431-020-1834-9
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DOI: https://doi.org/10.1007/s11431-020-1834-9