Abstract
The creep deformation, damage, and life of creep susceptible components are a function of temperature, stress and strain rate. In this study the Kachanov-Rabotnov (KR) creep damage constitutive model and a recently developed Sinh creep damage constitutive model are compared in terms of accuracy, considerations/assumptions, constants evaluation techniques, flexibility in use, and limitations for 304 Stainless Steel (STS). Twenty tests performed at four different configurations of stress and temperature (five repeats for each) are collected from literature and used. It is found that the novel Sin-hyperbolic model exhibits lower constant dependency, is easier to apply, and more accurately models the creep deformations and damage evolution of 304 STS. The Sin-hyperbolic model produces a continuous damage (from zero to unity) by normalizing the experimental data while the KR model produces critical damage values well below unity. It is found that overall the new Sin-hyperbolic model offers more flexibility and prediction accuracy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
C. M. Stewart, and A. P. Gordon, Analytical Method to Determine the Tertiary Creep Damage Constants of the Kachanov-Rabotnov Constitutive Model,” ASME, International Mechanical Engineering Congress and Exposition 2010, (2010),177–184.
C. M. Stewart, and A. P. Gordon, “Strain and Damage-Based Analytical Methods to Determine the Kachanov-RabotnovTertiary Creep Damage Constants,” International Journal of Damage Mechanics, 21(8) (2011), 1186–1201.
W. Qi, and A. Bertram, “Damage modeling of the single crystal superalloy SRR99 under monotonous creep,” Computational materials science, 13(1) (1998), 132–141.
J. Lemaitre, A Course on Damage Mechanics (Berlin, Springer, 1992).
R. K. Penny, “The use of damage concepts in component life assessment”, International journal of pressure vessels and piping, 66(1) (1996), 263–280.
C. M. Stewart, and A. P. Gordon, “A Hybrid Constitutive Model For Creep, Fatigue, And Creep-Fatigue Damage,” (Ph.D thesis, University of Central Frorida, Orlando, Fl,2013).
L. M. Kachanov, The Theory of Creep, National Lending Library for Science and Technology, (Boston Spa, England, Chaps. IX, X, 1967).
Y. N. Rabotnov, Creep Problems in Structural Members, (Amsterdam, Weinheim, North Holland, WILEY-VCH Verlag GmbH & Co. KGaA, 1969).
H. Basoalto, et al., “A generic microstructure-explicit model of creep in nickel-base superalloys,” Superalloys, TMS 2004, (2004), 897–906.
S. Murakami, Y. Liu, and M. Mizuno, “Computational methods for creep fracture analysis by damage mechanics,” Comput. Methods Appl. Mech. Engrg.,183 (2000), 15–33.
Z. P. Bazant, and G. Cabot Pijaudie, “Nonlocal continuum damage, localization instability and convergence,” J. Appl. Mech. Trans. ASME, 55 (1988), 287–294.
P. G. McVetty, “Creep of Metals at Elevated Tempeartures — Hyperbolic-Sine Relation Between Stress and Creep Rate” Transactions of the ASME, 65(7) (1943), 761–767.
S. J. Kim, Y. S. Kong, Y. J. Roh, and W. G. Kim, 2008, “Statistical properties of creep rupture data distribution for STS304 stainless steels,” Materials Science and Engineering: A, 483 (2008), 529–532.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2015 TMS (The Minerals, Metals & Materials Society)
About this paper
Cite this paper
Haque, M.S., Stewart, C.M. (2015). Comparison of a New Sin-Hyperbolic Creep Damage Constitutive Model with the Classic Kachanov-Rabotnov Model Using Theoretical and Numerical Analysis. In: TMS 2015 144th Annual Meeting & Exhibition. Springer, Cham. https://doi.org/10.1007/978-3-319-48127-2_114
Download citation
DOI: https://doi.org/10.1007/978-3-319-48127-2_114
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-48608-6
Online ISBN: 978-3-319-48127-2
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)