An alternative to the Shoji crack tip strain rate equation
Source abstract
Abstract
Abstract Fundamentally derived crack tip strain rate (CTSR) equations are being sought for use in modelling stress corrosion crack growth. The CTSR equation derived by Shoji and coworkers is gaining prominence in modelling the effects of cold work on stress corrosion cracking of nuclear reactor materials due to an ability to model the effects of yield stress and strain hardening on CTSR. However, the Shoji equation is compromised by assumptions that are inconsistent with the Gao-Hwang (GH) crack tip strain equation that was used in derivation of Shoji’s equation. Moreover, the GH equation appears to have been incorrectly derived. As a result, the Shoji equation cannot be considered fundamentally supported. An alternative to the Shoji equation is developed here by extending the Rice, Drugan and Sham CTSR equation to include strain hardening.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · High Temperature Alloys and Creep · Non-Destructive Testing Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (30)
Show source-provided references
1. Mechano-chemical anodic dissolution of austenitic stainless steel in hot chloride solution10.1098/rspa.1962.0142 ↗
2. Dependence of the velocity of the anodic dissolution of iron on its yield rate under tension10.1063/1.1712258 ↗
3. Mechanism of acceleration of the electrode dissolution of metals during yielding under stress10.1063/1.1670162 ↗
4. Mechano-electrochemical dissolution of copper at reversible electrode potential10.1016/0010-938X(73)90042-5 ↗
5. Stress corrosion crack propagation; a constant charge criterion10.1016/S0010-938X(75)80017-5 ↗
6. J.M. Olive, D. Desjardins, The mechanical and electrochemical behaviour of passive film and the film rupture – dissolution model, in: T. Magnin, J.M. Bras (Eds.), Corrosion–Deformation Interactions, Les Editions de Physique Les Ulis, 1993, pp. 755–771.
7. F.P. Ford, Mechanisms of environmental cracking peculiar to the power generation industry, Report NP2589, EPRI, Palo Alto, September, 1982.
8. Corrosion in nuclear systems: environmentally assisted cracking in light water reactors
9. Crack tip strain rate equation with applications to hydrogen embrittlement and active path dissolution models of stress corrosion cracking
10. The estimation of crack tip strain rate parameters characterizing environment assisted crack growth data
11. L.M. Young, P.L. Andresen, T.M. Angeliu, Crack tip strain rate: estimates based on continuum theory and experimental measurement, Corrosion, NACE, paper #01131, 2001.
12. T. Shoji, Quantitative prediction of environmentally-assisted cracking based on crack tip strain rate, in: Proceedings of ASME-PVP Symposium, Predictive Capabilities in Environmentally-Assisted Cracking, Miami, November, 1985, pp. 127–142.
13. T. Shoji, S. Suzuki, R.G. Ballinger, Theoretical prediction of SCC growth behavior – threshold and plateau growth rate, in: Proceedings of the Seventh International Symposium on Environmental Degradation of Materials in Nuclear Power Systems, Breckinridge, 1995, pp. 881–889.
14. Overview of current progress in application of advanced technology to EAC
15. Development of a fundamental crack tip strain rate equation and its application to quantitative prediction of stress corrosion cracking of stainless steel in high temperature oxygenated water10.1016/j.jnucmat.2003.09.008 ↗
16. Y.-C. Gao, K.-C. Hwang, Elastic–plastic fields in steady crack growth in a strain hardening material, in: D. Francois (Ed.), Advances in Fracture Research, vol. 2, 5th International Conference on Fracture, 1981, pp. 669–682.
17. S. Suzuki, T. Shoji, Y.-S. Yi, J.-K. Kim, Theoretical SCC crack growth prediction under various loading modes in high temperature water, in: Proceedings of the Eighth International Symposium on Environmental Degradation of Materials in Nuclear Power Systems-Water Reactors, Amelia Island, Florida, American Nuclear Society, 1996, pp. 695–703.
18. Quantitative prediction of EAC crack growth rate of sensitized Type 304 stainless steel in boiling water reactor environments based on EPFEM10.1115/1.2748827 ↗
19. Finite element calculation of crack propagation in type 304 stainless steel in diluted sulphuric acid solutions10.1016/j.corsci.2006.06.025 ↗
20. W. Ramberg, W.R. Osgood, Description of stress–strain curves by three parameters, Technical Note No. 902, National Advisory Committee for Aeronautics, Washington, DC, 1943.
21. Anderson · 2005
22. J.R. Rice, W.J. Drugan, T.-L. Sham, Elastic–plastic analysis of growing cracks, in: Fracture Mechanics: 12th Conference, ASTM STP 700, ASTM, 1980, pp. 189–221.10.1520/STP36972S ↗
23. The asymptotic near-tip solution for mode-III crack in steady growth in power hardening media10.1007/BF00942348 ↗
24. Plane stress steady crack growth in a power-law hardening material10.1023/A:1007410614342 ↗
25. Landau · 1987 · vol. 6
26. Singular behavior at the end of a tensile crack in a hardening material10.1016/0022-5096(68)90014-8 ↗
27. Plane strain deformation near a crack tip in a power-law hardening material10.1016/0022-5096(68)90013-6 ↗
28. P.L. Andresen, M.M. Morra, Effects of dK/da on SCC growth rates, Corrosion, NACE, paper #07488, 2007.
29. D.A. Vermilyea, A film rupture model for stress corrosion cracking, in: Proceedings of Conference on Stress Corrosion Cracking and Hydrogen Embrittlement of Iron Base Alloys, Unieux-Firminy, France, 12–16 June 1973, 1977, pp. 208–217.
30. The asymptotic stress and strain field near the tip of a growing crack under creep conditions10.1007/BF00036192 ↗