Abstract
In this work, a modified theta projection model is proposed for the constitutive modeling of creep behavior of metals and alloys. In the conventional theta projection model, strain hardening exponent is a function of time and theta, whereas in the modified theta projection model, the exponent is taken as a function of time, theta, and applied stress. The results obtained by the modified theta projection model for Al 2124 T851 alloy at constant uniaxial tensile stress are compared with the experimental results and with the predictions of the conventional theta projection method. The creep behavior of Al 7075 T651 alloy is also predicted using modified and conventional theta projection model and compared with the available experimental data. It is observed that the modified theta projection model captures the creep behavior more accurately as compared to the conventional theta projection model. The modified theta projection model can be used to predict the creep strain of pure metals and class M alloys (similar creep behavior to pure metals) for intermediate range of stress and temperature.
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References
F.H. Norton, The Creep of Steel at High Temperatures, McGraw-Hill Book Company Inc, New York, 1929
Y.N. Robotnov, Some problems of the theory of creep, NACA., TM 1353, 1953
A. Graham and K.F.A. Walles, Relations between long and short time properties of commercial alloy, J. Iron Steel Inst., 1955, 179, p 105–120
F. Garofalo, Fundamental of Creep and Creep Rapture in Metals, MacMillan Publisher, New York, 1965
L.M. Kachanov, Introduction to Continuum Damage Mechanics, Martinus Nijhoff Publishers, Dordrecht, 1986
R.W. Evans and B. Wilshire, Creep of Metals, Institute of Metals, London, 1985
K. Maruyama, C. Tanaka, and H. Oikawa, Long-term creep curve prediction based on the modified θ projection concept, J. Press. Vessel Technol., 1990, 112, p 92–97
M. Evans, Sensitivity of the theta projection technique to the functional form of the theta interpolation/extrapolation function, J. Mater. Sci., 2002, 37, p 2871–2884
S.J. Williams, An automatic technique for the analysis of stress rupture data, Report MFR30017, Rolls-Royce, Derby, UK, 1993
M.E. Kassner and M.T. Pérez-Prado, Fundamentals of Creep in Metals and Alloys, Elsevier Ltd, Amsterdam, 2004
M.E. Kassner, Recent developments in understanding the mechanism of five-power-law creep, Mater. Sci. Eng. A, 2005, 410–411, p 20–23
B. Wilshire and P.J. Scharning, Creep and creep fracture of commercial aluminium alloys, J. Mater. Sci., 2008, 43, p 3992–4000
S.J. Williams, M.R. Bache, and B. Wilshire, 25 year perspective recent developments in analysis of high temperature creep and creep fracture behavior, Mater. Sci. Technol., 2010, 26(11), p 1332–1337
ASTM E8M-04, Standard test methods for tension testing of metallic materials (metric), Annual Book of ASTM Standards, ASTM International, West Conshohocken, PA, USA, 2004
M. Law, W. Payten, and K. Sonwden, Creep modelling welded joints using the theta projection concept and finite elements analysis, J. Press. Vessel Technol., 2000, 122, p 22–26
Y.C. Lin, Y.C. Xia, M.S. Chen, Y.Q. Jiang, and L.T. Li, Modelling of creep behavior of 2024-T3 Al alloy, Comput. Mater. Sci., 2013, 67, p 243–248
ASTM E139-06, Standard test methods for conducting creep, creep-rupture, and stress-rupture tests of metallic materials, Annual Book of ASTM Standards, ASTM International, West Conshohocken, PA, USA, 2006
Y.Q. Jiang, Y.C. Lin, C. Phaniraj, Y.C. Xia, and H.M. Zhou, Creep and creep rupture behavior of 2124-T851 aluminum alloy, High Temp. Mater. Processes (London), 2013, 32(6), p 533–540
Y.C. Lin, Y.C. Xia, X.S. Ma, Y.Q. Jiang, and M.S. Chen, High-temperature creep behavior of Al-Cu-Mg alloy, Mater. Sci. Eng. A, 2012, 550, p 125–130
Y.C. Lin, Y.Q. Jiang, H.M. Zhou, and G. Liu, A new creep constitutive model for 7075 aluminum alloy under elevated temperatures, J. Mater. Eng. Perform., 2014, 23, p 4350–4357
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Kumar, M., Singh, I.V., Mishra, B.K. et al. A Modified Theta Projection Model for Creep Behavior of Metals and Alloys. J. of Materi Eng and Perform 25, 3985–3992 (2016). https://doi.org/10.1007/s11665-016-2197-y
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DOI: https://doi.org/10.1007/s11665-016-2197-y