Numerical analysis of the interaction of solute hydrogen atoms with the stress field of a crack

International Journal of Solids and Structures

Volumn 33, Issue 12, 1996, Pages 1709-1723

  Lufrano, J ^a   Sofronis, P ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOYS; ATOMS; EFFECTS; ELASTIC MODULI; FINITE ELEMENT METHOD; HYDROGEN; ITERATIVE METHODS; METALS; PLASTIC DEFORMATION; STRAIN; STRESS INTENSITY FACTORS; STRESS RELAXATION;

LINEARLY ELASTIC ISOTROPIC MATERIAL; MOBILE INTERSTITIAL HYDROGEN; SOLUTE HYDROGEN ATOMS; STATIONARY CRACK TIP; STIFFNESS DERIVATIVE METHOD;

CRACKS;

EID: 0030150644     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00119-0     Document Type: Article

References (32)

1. Birnbaum, H. K. (1979). Hydrogen related failure mechanisms in metals. In Environmental Sensitive Fracture of Engineering Materials (Proceedings of Symposium on Environmental Effects on Fracture, Chicago, Illinois, October 24-26, 1977) (ed. Z. A. Foroulis), pp. 326-360. Metallurgical Society of AIME, Warendale, Pennsylvania.
2. Birnbaum, H. K. and Sofronis, P. (1994). Hydrogen-enhanced localized plasticity - a mechanism for hydrogenrelated fracture. Mat. Sci. Engng A176, 191-202.
3. Budiansky, B., Hutchinson, J. W. and Lambropoulos, J. C. (1983). Continuum theory of dilatant transformation toughening in ceramics. Int. J. Solids Structures 19, 337-355.
4. Chen, X., Foecke, T., Lii, M., Katz, Y. and Gerberich, W. W. (1990). The role of stress state on hydrogen cracking in Fe-Si single crystals. Engng Fract. Mech. 35, 997-1017.
5. Cottrell, A. H. (1948). Effects of solute atoms on the behaviour of dislocations. In Report of a conference on Strength of Solids, H. H. Wills Physical Laboratory, University of Bristol, 7-9 July 1947, pp. 30-36. The Physical Society, London.
6. Dutton, R., Nuttall, K., Puls, M. P. and Simpson, L. A. (1977). Mechanisms of hydrogen induced delayed cracking in hydride forming materials. Met. Trans. 8A, 1553-1562.
7. Eshelby, J. D. (1956). The continuum theory of lattice defects. In Solid State Physics (eds F. Seitz and D. Turnbull), Vol. 3, pp. 79-144. Academic Press, New York.
8. Eshelby, J. D. (1957). The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. R. Soc. A241, 376-396.
9. Hippsley, C. A. and Briant, C. L. (1985). Application of a model for stress driven segregation to hydrogen embrittlement. Scr. Met. 19, 1203-1208.
10. Hirsch, P., B., Booth, A. S., Ellis, M. and Roberts, S. G. (1992). Dislocation-driven stable crack growth by microcleavage in semi-brittle crystals. Scr. Met. 27, 1723-1728.
11. Hirth, J. P. (1980). Effects of hydrogen on the properties of iron and steel. Met Trans. 11A, 861-890.
12. Hirth, J. P. and Carnahan, B. (1978). Hydrogen adsorption at dislocations and cracks in Fe. Acta Metall. 26, 1795-1803.
13. Hutchinson, J. W. (1983). Fundamentals of the phenomenological theory of nonlinear fracture mechanics. J. Appl. Mech. 50, 1042-1051.
14. Irwin, G. R. (1960). Fracture Mechanics. In Structural Mechanics (Proceedings of the First Symposium of Naval Structural Mechanics) (ed. J. N. Goodier and N. J. Hoff), pp. 557-594. Stanford University, August 1958.
15. Liu, H. W. (1970). Stress-corrosion cracking and the interaction between crack-tip stress field and solute atoms. J. Bas. Engng, Trans. ASME 92, 633-638.
16. Mazzolai, F. M. and Birnbaum, H. K. (1985a). Elastic constants and ultrasonic attenuation of the α - α′ phase of the Nb-H(D) system. I : Results. J. Phys. F: Met. Phys. 15, 507-523.
17. Mazzolai, F. M. and Birnbaum, H. K. (1985b). Elastic constants and ultrasonic attenuation of the α - α′ phase of the Nb-H(D) system. II : Interpretation of results. J. Phys. F: Met. Phys. 15, 525-542.
18. McMeeking, R. M. (1977). Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture. J. Mech. Phys. Solids 25, 357-381.
19. McMeeking, R. M. and Evans, A. G. (1982). Mechanics of transformation-toughening in brittle materials. J. Am. Ceram. Soc. 65, 242-246.
20. Parks, D. M. (1974). A Stiffness derivative finite element technique for determination of crack tip stress intensity factors. Int. J. Fract. Mech. 10, 487-502.
21. Parks, D. M. (1977). The virtual crack extension method for nonlinear material Behavior. Comp. Meth. Appl. Mech. Engng 12, 353-364.
22. Peisl, H. (1978). Lattice strains due to hydrogen in metals. In Hydrogen in Metals I, Topics in Applied Physics (ed. G. Alefeld and J. Volkl), Vol. 28, pp. 53-74. Springer-Verlag, New York.
23. Rice, J. R. (1968a). A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. 35, 379-386.
24. Rice, J. R. (1968b). Mathematical analysis in the mechanics of fracture. In Fracture: An Advanced Treatise (ed. H. Liebowitz), Vol. 12, pp. 191-311. Academic Press, New York.
25. Sofronis, P. and Birnbaum, H. K. (1993). Mechanics of hydrogen-dislocation-impurity interactions: part I-increasing shear modulus. TAM Report No. 729, UILU-ENG-93-6027, University of Illinois at Urbana-Champaign, Urbana, Illinois.
26. Sofronis, P. and Birnbaum, H. K. (1995). Mechanics of the hydrogen-dislocation-impurity interactions: part I -increasing shear modulus. J. Mech. Phys. Solids 43, 49-90.
27. Sofronis, P. and McMeeking, R. M. (1989). Numerical analysis of hydrogen transport near a blunting crack tip. J. Mech. Phys. Solids 37, 317-350.
28. Tong-Yi, Z., Mason, T. A. and Hack, J. E. (1992a). The equilibrium concentration of hydrogen atoms ahead of a mode I crack tip single crystal iron. Scr. Met. 26, 139-144.
29. Tong-Yi, Z., Shen, H. and Hack, J. E. (1992b). The influence of cohesive forces on the equilibrium concentration of hydrogen atoms ahead of a crack tip in single crystal iron. Scr. Met. 27, 1605-1610.
30. Unger, D. J. (1989). A mathematical analysis for impending hydrogen assisted crack propagation. Engng Fract. Mech. 34, 657-667.
31. Van Leeuwen, H. P. (1974). The kinetics of hydrogen embrittlement : a quantitative diffusion model. Engng Fract. Mech. 6, 141-161.
32. Weertman, J. and Hack, J. E. (1988). Crack tip shielding/antishielding by impurity atoms. Int. J. Fract. Mech. 36, 27-34.