Temperature and constraint effects on hydride fracture in zirconium alloys

Engineering Fracture Mechanics

Volumn 65, Issue 1, 2000, Pages 29-54

  Varias, A G ^a   Massih, A R ^b,c  

^a Solid Mechanics Research Office   (Greece)

^b ABB CORPORATE RESEARCH   (Sweden)

^c LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Cohesive zone; Constraint; Crack growth; De cohesion model; Hydride fracture

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONSTRAINT THEORY; CRACK PROPAGATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; FRACTURE TOUGHNESS; HYDRIDES; MATHEMATICAL MODELS; STRESS ANALYSIS; ZIRCONIUM ALLOYS;

COHESIVE ZONE;

FRACTURE MECHANICS;

EID: 0039591347     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0013-7944(99)00107-1     Document Type: Article

References (39)

1. Coleman C.E., Hardie D. The hydrogen embrittlement of α-zirconium - a review. Journal of the Less-Common Metals. 11:1966;168-185.
2. Northwood D.O., Kosasih U. Hydrides and delayed hydrogen cracking in zirconium and its alloys. International Metals Reviews. 28:1983;92-121.
3. Bai J.B., Francois D. Some evidence of a brittle-ductile transition of zirconium hydride between 20 and 350°C. Journal of Nuclear Materials. 187:1992;186-189.
4. Kammenzind B.F., Franklin D.G., Peters H.R., Duffin W.J. Hydrogen pickup and redistribution in alpha-annealed zircalloy-4. Bradley E.R., Sabol G.P. Zirconium in the Nuclear Industry: Eleventh International Symposium, ASTM STP 1295. 1996;338-370 American Society for Testing and Materials, Philadelphia.
5. Forsberg K., Massih A.R. Redistribution of hydrogen in zircalloy. Journal of Nuclear Materials. 172:1990;130-134.
6. Needleman A. A continuum model for void nucleation by inclusion debonding. Journal of Applied Mechanics. 54:1987;525-531.
7. Varias A.G., O'Dowd N.P., Asaro R.J., Shih C.F. Failure of bimaterial interfaces. Materials Science and Engineering. A126:1990;65-93.
8. Tvergaard V., Hutchinson J.W. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. Journal of the Mechanics and Physics of Solids. 40:1992;1377-1397.
9. Shi S.-Q., Puls M.P. Criteria for fracture initiation at hydrides in zirconium alloys. Part I: Sharp crack tip. Journal of Nuclear Materials. 208:1994;232-242.
10. Shi S.-Q., Puls M.P., Sagat S. Criteria of fracture initiation at hydrides in zirconium alloys. Part II: Shallow notch. Journal of Nuclear Materials. 208:1994;243-250.
11. Williams M.L. On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics. 24:1957;109-114.
12. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problem. Proceedings of the Royal Society, London. A241:1957;376-396.
13. Chiu Y.P. On the stress field due to initial strains in a cuboid surrounded by an infinite elastic space. Journal of Applied Mechanics. 44:1977;587-590.
14. Dugdale D.S. Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids. 8:1960;100-108.
15. Barenblatt G.I. Mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7:1962;55-129.
16. Wäppling D., Massih A.R., Ståhle P. A model for hydride-induced embrittlement in zirconium-based alloys. Journal of Nuclear Materials. 249:1998;231-238.
17. Varias A.G., Massih A.R. Analysis of hydride fracture in zirconium alloys. Atluri S.N., O'Donoghue P.E. Modeling and Simulation based Engineering. Proceeding of the International Conference on Computational Engineering Science, Atlanta, GA, Vol. II. 1998;1365-1370 Tech Science Press, Palmdale, CA.
18. Kanninen M.F., Popelar C.H. Advanced fracture mechanics. 1985;Oxford University Press, New York.
19. Larsson S.G., Carlsson A.J. Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. Journal of the Mechanics and Physics of Solids. 21:1973;263-277.
20. Rice J.R. Limitations to the small scale yielding approximation for crack tip plasticity. Journal of the Mechanics and Physics of Solids. 22:1974;17-26.
21. Betegon C., Hancock J.W. Two parameter characterization of elastic-plastic crack tip fields. Journal of Applied Mechanics. 58:1991;104-110.
22. O'Dowd N.P., Shih C.F. Family of crack tip fields characterized by a triaxiality parameter. Part I: Structure of fields. Journal of the Mechanics and Physics of Solids. 39:1991;989-1015.
23. Hackett E.M., Schwalbe K.-H., Dodds R.H. Constraint effects in fracture. ASTM STP 1171. 1993;American Society for Testing and Materials, Philadelphia.
24. Sham T.-L. The determination of the elastic T-term using higher order weight functions. International Journal of Fracture. 48:1991;81-102.
25. Varias A.G. Constraint effects during stable transient crack growth. Computational Mechanics. 21:1998;316-329.
26. Puls M.P. Elastic and plastic accommodation effects on metal-hydride solubility. Acta Metallurgica. 32:1984;1259-1269.
27. Varias A.G., Suo Z., Shih C.F. Ductile failure of a constrained metal foil. Journal of the Mechanics and Physics of Solids. 39:1991;963-986.
28. Asaro R.J. Micromechanics of crystals and polycrystals. Advances in Applied Mechanics. 23:1983;1-115.
29. Lee E.H. Elastic-plastic deformation at finite strains. Journal of Applied Mechanics. 36:1969;1-6.
30. Xu X.-P., Needleman A. Void nucleation by inclusion debonding in a crystal matrix. Modeling Simulation in Material Science Engineering. 1:1993;111-132.
31. Tvergaard V., Hutchinson J.W. The influence of plasticity on mixed mode interface toughness. Journal of the Mechanics and Physics of Solids. 41:1993;1119-1135.
32. Rose J.H., Ferrante J., Smith J.R. Universal binding energy curves for metals and bimetallic interfaces. Physical Review Letters. 47:1981;675-678.
33. Ferrante J., Smith J.R. Theory of bimetallic interfaces. Physical Review. B31:1985;3427-3434.
34. Banerjea A., Smith J.R. Origins of the universal binding-energy relation. Physical Review. B37:1988;6632-6645.
35. Simpson L.A., Nuttall K. Factors controlling hydrogen assisted subcritical crack growth in Zr-2.5Nb alloys. Lowe A.L. Jr, Parry G.W. Zirconium in the Nuclear Industry, ASTM STP 633. 1977;608-629 American Society for Testing and Materials, Philadelphia.
36. Huang F.H. Brittle-fracture potential of irradiated pressure tubes. Journal of Nuclear Materials. 207:1993;103-115.
37. Peirce D., Asaro R.J., Needleman A. Material rate dependence and localized deformation in crystalline solids. Acta Metallurgica. 31:1983;1951-1976.
38. Peirce D., Shih C.F., Needleman A. A tangent modulus method for rate dependent solids. Computers and Structures. 18:1984;875-887.
39. Zienkiewicz O.C. The finite element method. 1977;McGraw-Hill, London.