Abstract
In this study, cyclic loading behavior of thick cylindrical pipes are described. Effects of internal pressure level and axial strain amplitude on the ratcheting rate under different types of loading histories are investigated. The kinematic hardening theory based on the Chaboche model is used to predict the plastic behavior of the structures. An iterative method is developed to analyze the structural behavior under cyclic loading conditions based on the Chaboche kinematic hardening model.
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References
W. Prager, A new method of analyzing stresses and strains in work hardening plastic solids, J. App. Mech. 23 (1956) 493–496.
P. J. Armstrong and C. O. Frederick, A mathematical representation of the multiaxialbauschinger effect, CEGB Report No. RD/B/N 731 1966.
N. Ohno and J. D. Wang, Kinematic hardening rules with critical state of dynamic recovery, formulations and basic features for ratcheting behavior, J. Plast. 9 (1993) 375–390.
J. L. Chaboche, Time-independent constitutive theories for cyclic plasticity, Int. J. Plast. 2 (1986) 149–188.
J. L. Chaboche, On some modifications of kinematic hardening to improve the description of ratcheting effects, Int. J. Plast. 7 (1991) 661–678.
T. Hassan and S. Kyriakides, Ratcheting in cyclic plasticity, part I: uniaxial behavior, Int. J. Plast. 8 (1992) 91–116.
T. Hassan, E. Corona and S. Kyriakides, Ratcheting in cyclic plasticity, part II: multiaxial behavior, Int. J. Plast. 8 (1992) 117–146.
S. Bari and T. Hassan, An advancement in cyclic plasticity modeling for multiaxial ratcheting simulation, Int. J. Plast. 8 (2002) 873–894.
S. Bari and T. Hassan, Anatomy of coupled constitutive models for ratcheting simulation, J. Plast. 16 (2000) 381–409.
S. Bari and T. Hassan, Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting, Int. J. Plast. 17 (2001) 885–905.
D. K. Kim, G. F. Dargush, S. W. Shin and J. W. Hu, A two surface plasticity model for the simulation of uniaxial ratchetting response, J. Mech. Sci. Tech. 26 (2012) 145–152.
G. H. Koo and J. H. Lee, Inelastic constitutive models for the simulation of a cyclic softening behavior of modified 9cr-1mo steel at elevated temperatures, J. Mech. Sci. Tech. 1 (2007) 699–707.
G. Rashed, R. Ghajar and G. Farrahi, Multiaxial stressstrain modeling and effect ofadditional hardening due to nonproportional loading, J. Mech. Sci. Tech. 21 (2007) 1153–1161.
A. Chaaba, L. Bousshine, M. Aboussaleh and E. H. Boudaia, Plastic limit analysis with nonlinear kinematic strain hardening for metalworking processes applications, J. Mech. Sci. Tech. 25 (2011) 2859–2870.
S. Shahrooi, I. H. Metselaar and Z. Huda, Evaluation of cyclic plasticity models of multi-surface and non-linear hardening by an energy-based fatigue criterion, J. Mech. Sci. Tech. 24 (2010) 1255–1260.
A. Nayebi, Influence of continuum damage mechanics on the Bree’s diagram of a closed end tube, Mater. Des. 31 (2010) 296–305.
H. Mahbadi and M. R. Eslami, Cyclic loadng of beams based on the Prager and Frederick-Armstrong kinematic hardening models, Int. J. Mech. Sci. 44 (2002) 859–879.
H. Mahbadi and M. R. Eslami, Cyclic loading of thick vessels based on the Prager and Armstrong-Frederick kinematic hardening models, J. Press. Vessels Pip. 83 (2006) 409–419.
S. M. Rahman, T. Hassan and E. Corona, Evaluation of cyclic plasticity models in ratcheting simulation of straight pipes under cyclic bending and steady internal pressure, Int. J. Plast. 24 (2008) 1756–1791.
C. Chen, B. Gao and G. Chen, Ratcheting study of pressurized elbows subjected to reversed in-plane bending, J. Press. Vessel Tech. 128 (2006) 525–532.
A. M. Mahmoudi, S. M. Pezeshki-Najafabadi and H. Badnava, Parameter determination of Chaboche kinematic hardening model using a multi objective Genetic Algorithm, Comp. Mater. Sci. 50 (2011) 1114–1122.
M. Rezaiee-Pajand and S. Sinaie, On the calibration of the Chaboche hardening model and a modified hardeningrule for uniaxial ratcheting prediction, Int. J. Solids Struc. 46 (2009) 3009–3017.
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Hojat Badnava received his B.S. and M.S. degrees in Mechanical Engineering from the Islamic Azad University, Ahvaz branch and Bu-Ali Sina University, Hamadan, Iran in 2008 and 2011, respectively. At present, he is a Ph.D student of Mechanical Engineering at the Isfahan University of Technology, Isfahan, Iran. Mr. Badnava’s research interests include computational plasticity, shape memory alloys and metal forming.
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Badnava, H., Farhoudi, H.R., Nejad, K.F. et al. Ratcheting behavior of cylindrical pipes based on the Chaboche kinematic hardening rule. J Mech Sci Technol 26, 3073–3079 (2012). https://doi.org/10.1007/s12206-012-0834-4
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DOI: https://doi.org/10.1007/s12206-012-0834-4