The phase field model for hydrogen diffusion and γ-hydride precipitation in zirconium under non-uniformly applied stress

Mechanics of Materials

Volumn 38, Issue 1-2, 2006, Pages 3-10

  Ma, X Q ^a,c   Shi, S Q ^a   Woo, C H ^a   Chen, L Q ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

Author keywords

Continuum model; Diffusion; Phase field; Precipitation; Stress distribution

Indexed keywords

DEGRADATION; DIFFUSION; HYDRIDES; HYDROGEN; STRESS ANALYSIS;

CONTINUUM MODEL; HYDROGEN DIFFUSION; PHASE FIELD;

ZIRCONIUM;

EID: 27744560249     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2005.05.005     Document Type: Conference Paper

References (24)

1. S.M. Allen, and J.W. Cahn A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening Acta metall. 27 1979 1085
2. J.W. Cahn, and J.E. Hilliard Free energy of a nonuniform system. I. Interfacial energy J. Chem. Phys. 28 1958 258
3. C.D. Cann, and E.E. Sexton An electron optical study of hydride precipitation and growth at crack tips in zirconium Acta Metall. 28 1980 1215
4. G.J.C. Carpenter The dilatational misfit of zirconium hydrides precipitated in zirconium J. Nucl. Mater. 48 1973 264
5. L.Q. Chen Phase-field model models of microstructure evolution Annu. Rev. Mater. Res. 32 2002 113
6. L.Q. Chen, and Y. Wang Mathematically modeling mesoscale microstructural evolution J. Met. 48 1996 11
7. R. Dutton, and M.P. Puls Theoretical modeling for H included sub-critical crack growth A.W. Thompson I.M. Bernstein Effect of Hydrogen in Behavior of Materials 1976 TMS-AIME New York 516
8. R.L. Eadie, D.R. Metzger, and M. Leger The thermal ratchetting of hydrogen in zirconium-niobium-an illustration using finite element modeling Scripta Metall. 29 1993 335
9. A.G. Khachaturyan Theory of Structural Tranformation in Solids 1983 John Wiley & Sons New York
10. L.D Landau, and E.M. Lifshitz Statistical Physics, Part 1 1980 Pergamon Press London
11. X.Q. Ma, S.Q. Shi, C.H. Woo, and L.Q. Chen Effect of applied load on nucleation and growth of γ-hydrides in zirconium Comput. Mater. Sci. 23 2002 283
12. X.Q. Ma, S.Q. Shi, C.H. Woo, and L.Q. Chen Phase-field simulation of precipitation in bi-crystalline zirconium Scripta Mater. 47 2002 237
13. X.Q. Ma, S.Q. Shi, C.H. Woo, and L.Q. Chen Simulation of γ-hydride precipitation in bi-crystalline zirconium under uniformly applied load Mat. Sci. Eng. A-Struct. 334 2002 6
14. S.R. MacEwen, C.E. Coleman, and C.E. Ells Dilation of hcp zirconium by interstitial deuterium J. Faber, Acta Metall. 33 1985 753
15. H. Mastsui, N. Yoshikawa, and M. Koiwa An in situ observation of "hydrogen induced crack in niobium" Acta Metall. 35 1987 413
16. W.J. Pardee, and N.E. Paton Model of sustained load cracking by hydride growth in titanium alloys Metall. Trans. A. 11A 1980 1391
17. M.P. Puls Effects of crack tip stress state and hydride-matrix interaction stresses on delayed hydride cracking J. Metall. Trans. A. 21 1990 2905
18. S.Q. Shi, and M.P. Puls Criteria of fracture initiation at hydrides in zirconium alloys. I. Sharp crack tip J. Nucl. Mater. 208 1994 232
19. S.Q. Shi, M.P. Puls, and S. Sagat Criteria of fracture initiation at the hydrides in zirconium alloys. II. Shallow notch J. Nucl. Mater. 208 1994 243
20. S.Q. Shi, M. Liao, and M.P. Puls Modeling of time dependent hydride growth at the crack tips in zirconium alloys Modell. Simul. Mater. Sci. Eng. 2 1994 1065
21. Shi, S.Q., unpublished work.
22. C.N. Singman Atomic volume and allotropy of the elements J. Chem. Edu. 61 1984 137
23. S. Takano, and T. Suzuki An electron-optical study of β-hydride and hydrogen embrittlement of vanadium Acta Metall. 22 1974 265
24. H.Z. Xiao, S.J. Gao, and X.J. Wan In situ TEM observation of the interaction of strain-induced hydride and crack propagation in Ti-6Al-4V Scripta Metall. 21 1987 265