Acknowledgement
Supported by : Natural Science Foundation of Hebei Province of China, China Postdoctoral Science Foundation, Central Universities
References
- Abdalla, H.F., Megahed, M.M. and Younan, M.Y. (2009), "Comparison of pipe bend ratchetting/ shakedown test results with the shakedown boundary determined via a simplified technique", Proceedings of the ASME - PVP Division Conference, Prague, Czech Republic.
- Abdalla, H.F., Megahed, M.M. and Younan, M.Y.A. (2011), "A simplified technique for shakedown limit load determination of a large square plate with a small central hole under cyclic biaxial loading", Nuclear Eng. Des., 241, 657-665. https://doi.org/10.1016/j.nucengdes.2010.11.019
- Abou-Hanna, J. and McGreevy, T.E. (2011), "A simplified ratcheting limit method based on limit analysis using modified yield surface", Int. J. Pres. Ves. Pip., 88, 11-18. https://doi.org/10.1016/j.ijpvp.2010.12.001
- Adibi-Asl, R. and Reinhardt, W. (2010), "Ratchet boundary determination using a noncyclic method", J. Press. Vess. - T. ASME, 132, 021201. https://doi.org/10.1115/1.4000506
- Adibi-Asl, R., Fanous, I.F.Z. and Seshadri, R. (2006), "Elastic modulus adjustment procedures improved convergence schemes", Int. J. Pres. Ves. Pip., 83, 154-160. https://doi.org/10.1016/j.ijpvp.2005.11.002
- Asada, S., Yamashita, N., Okamoto, A. and Nishiguchi, I. (2002), "Verification of alternative criteria for shakedown evaluation using flat head vessel", ASME PVP, 439, 17-22. https://doi.org/10.1115/PVP2002-1217
- ASME (2017), ASME boiler and pressure vessel code, section III; American Society of Mechanical Engineer, New York, USA.
- Bradford, R.A.W. and Tipping, D.J. (2015), "The ratchet-shakedown diagram for a thin pressurised pipe subject to additional axial load and cyclic secondary global bending", Int. J. Pres. Ves. Pip., 134, 92-100. https://doi.org/10.1016/j.ijpvp.2015.08.008
- Bree, J. (1967), "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. Eng., 2, 226-238. https://doi.org/10.1243/03093247V023226
- Bree, J. (1989), "Plastic deformation of a closed tube due to interaction of pressure stresses and cyclic thermal stresses", Int. J. Mech. Sci., 31, 865-892. https://doi.org/10.1016/0020-7403(89)90030-1
- Calladine, C.R. (2000), Plasticity for Engineers, Horwood Publisheing, Chichester, UK.
- Chaboche, J.L. (1986), "Time-independent constitutive theories for cyclic plasticity", Int. J. Plast., 2, 149-188. https://doi.org/10.1016/0749-6419(86)90010-0
- Chen, X., Jiao, R. and Kim, K.S. (2005), "On the Ohno-Wang kinematic hardening rules for multiaxial ratcheting modeling of medium carbon steel", Int. J. Plast., 21, 161-184. https://doi.org/10.1016/j.ijplas.2004.05.005
- Chen, H.F., Ure, J.M. and Tipping, D. (2013), "Calculation of a lower bound ratchet limit part 1 - Theory, numerical implementation and verification", Eur. J. of Mechanics / A Solids, 37, 361-368. https://doi.org/10.1016/j.euromechsol.2012.04.001
- Chen, X.H., Chen, X., Chen, G. and Li, D.M. (2015), "Ratcheting behavior of pressurized Z2CND18.12N stainless steel pipe under different control modes", Steel Compos. Struct., Int. J., 18(1), 29-50. https://doi.org/10.12989/scs.2015.18.1.029
- Chen, X.H., Chen, X., Chen, G. and Li, D.M. (2016), "Evaluation of AF type cyclic plasticity models in ratcheting simulation of pressurized elbow pipes under reversed bending", Steel Compos. Struct., Int. J., 21(4), 703-753. http://dx.doi.org/10.12989/scs.2016.21.4.703
- Kan, Q.H., Li, J., Jiang, H. and Kang, G.Z. (2017), "An Improved Thermo-Ratcheting Boundary of Pressure Pipeline", Key Eng. Mater., 725, 311-315. https://doi.org/10.4028/www.scientific.net/KEM.725.311
- Konstantinos, V.S. and Konstantinos, D.P. (2012), "A direct method to predict cyclic steady states of elastoplastic structures", Compos. Method Appl. Mech. Eng., 223-224, 186-198. https://doi.org/10.1016/j.cma.2012.03.004
- KTA (2014), "Kerntechnischer Ausschuss; Sicherheitstechnische Regel des KTA, Komponenten des primarkreises von Leichtwasserreaktoren", Teil: Auslegung, Konstruktion und Berchnung, Regelanderungsentwurf.
- Liu, Y.H., Chen, L.J. and Xu, B.Y. (2009), "Modified elastic compensation method for limit analysis of complex structures", Pres. Ves. Technology, 26(10), 10-16. [In Chinese] https://doi.org/10.3969/j.issn.1001-4837.2009.10.003
- Martin, M. and Rice, D. (2009), "A Hybrid Procedure for Ratchet Boundary Prediction", ASME PVP Conference, Prague, Czech Republic.
- Moreton, D.G., Yahiaoui, K. and Moffat, D.G. (1996), "Onset of ratchetting in pressurized piping elbows subjected to in-plane bending moments", Int. J. Pres. Ves. Pip., 68, 73-79. https://doi.org/10.1016/0308-0161(94)00041-7
- Muscat, M., Hamilton, R. and Boyle, J.T. (2002), "Shakedown analysis for complex loading using superposition", J. Strain Analysis, 37 (5), 399-412. https://doi.org/10.1243/030932402760203865
- Nayebi, A. and Hamidpour, M. (2015), "Thermo-mechanical cyclic loading analysis of pipes with different type of defects: Temperature dependent properties", P.I. Mech. Eng. L - J. Mater., 230, 303-310. https://doi.org/10.1177/1464420715571432
- Nilsson, K.F., Dolci, F., Seldis, T., Ripplinger, S., Grah, A. and Simonovski, I. (2016), "Assessment of thermal fatigue life for 316L and P91 pipe components at elevated temperatures", Eng. Fract. Mech., 168, 73-91. https://doi.org/10.1016/j.engfracmech.2016.09.006
- Ohno, N. and Wang, J.D. (1993), "Kinematic Hardening Rules With Critical State of Dynamic Recovery. Part II: Application to Experiments of Ratcheting Behavior", Int. J. Plast., 9, 391-403. https://doi.org/10.1016/0749-6419(93)90043-P
- Pan, L. and Seshadri, R. (2001), "Limit Load Estimation Using Plastic Flow Parameter in Repeated Elastic Finite Element Analysis", ASME J. Pressure Vessel Technol., 124, 433-439. https://doi.org/10.1115/1.1499960
- Peng, H.Y., Zheng, X.T., Yu, J.Y., Xu, J.M., Wang, C.G. and Lin, W. (2015), "Ratchet Limit Estimation of Pressurized Pipes under Cyclic Bending Moment", Procedia Eng., 130, 1224-1232. https://doi.org/10.1016/j.proeng.2015.12.294
- Ponter, A.R.S. and Chen, H. (2001), "A minimum theorem for cyclic load in excess of shakedown, with applications to the evaluation of a ratchet limit", Eur. J. Mech. A/Solids, 20, 539-553. https://doi.org/10.1016/S0997-7538(01)01161-5
- Prager, W. (1956), "A new method of analyzing stresses and strains in work-hardening plastic solids", J. Appl. Math., 23, 493-496.
- RCC-MR (2007), Design rules for class 1 equipment, RCC-MR codes, revision.
- Reinhardt, W. (2008), "A noncyclic method for plastic shakedown analysis", J. Press. Vess. - T. ASME, 130(3), 031209. https://doi.org/10.1115/1.2937760
-
Reinhardt, W.D. and Seshadri, R. (2003), "Limit load bounds for the
$m{\alpha}$ multipliers", J. Press. Vess. - T. ASME, 125, 11-18. https://doi.org/10.1115/1.1526858 -
Seshadri, R. and Mangalaramanan, S. (1997), "Lower bound limit loads using variational concepts: the
$m{\alpha}$ method", Int. J. Pres. Ves. Pip., 71, 93-106. https://doi.org/10.1016/S0308-0161(96)00071-3 - Shen, J., Chen, H.F. and Liu, Y.H. (2018), "A new fourdimensional ratcheting boundary: Derivation and numerical validation", Eur. J. Mech. - A/Solids, 71, 101-112. https://doi.org/10.1016/j.euromechsol.2018.03.005
- Varvani- Farahani, A. and Nayebi, A. (2017), "Ratcheting in pressurized pipes and equipment: A review on affecting parameters, modelling, safety codes, and challenges", Fatigue Fract. Eng. Mater. Struct., 41, 503-538. https://doi.org/10.1111/ffe.12775
- Wolters, J., Breitbach, G., Roding, M. and Nickel, H. (1997), "Investigation of the ratcheting phenomenon for dominating bending loads", Nucl. Eng. Des., 174, 353-363. https://doi.org/10.1016/S0029-5493(97)00128-3
- Yamamoto, Y., Yamashita, N. and Tanaka, M. (2002), "Evaluation of thermal stress ratchet in plastic FEA", ASME PVP, 439, 3-10. https://doi.org/10.1115/PVP2002-1215
- Zakavi, S.J., Shiralivand, B. and Nourbakhsh, M. (2017), "Evaluation of combined hardening model in ratcheting behavior of pressurized piping elbows subjected to in-plane moments", J. Compos. Appl. Res. Mech. Eng., 7(1), 57-71. https://doi.org/10.22061/JCARME.2017.640
- Zheng, X.T., Peng H.Y., Yu J.Y., Wang, W., Lin, W. and Xu, J.M. (2017), "Analytical ratchet limit for pressurized pipeline under cyclic nonproportional loadings", J. Pipeline Syst. Pract., 8(3), 04017002. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000260