Influence of through-thickness crack shape on plasticity induced crack closure

Fatigue and Fracture of Engineering Materials and Structures

Volumn 31, Issue 2, 2008, Pages 209-220

  Branco, R ^a   Rodrigues, D M ^b   Antunes, Fernando V ^b  

^a POLYTECHNIC INSTITUTE OF COIMBRA   (Portugal)

^b UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

K; Crack shape; Plasticity induced crack closure; Thickness

Indexed keywords

COMPUTER SIMULATION; CRACK CLOSURE; CRACK TIPS; MATHEMATICAL MODELS; PLASTICITY;

CRACK SHAPE; PLASTICITY INDUCED CRACK CLOSURE;

CRACKS;

EID: 42149172279     PISSN: 8756758X     EISSN: 14602695     Source Type: Journal    
DOI: 10.1111/j.1460-2695.2008.01216.x     Document Type: Article

References (46)

1. Ritchie, R. O., Zurres, S. and Moss, C. M. (1980) Near-threshold fatigue crack growth in 2(1/4)Cr-1 Mo pressure vessel steel in air and hydrogen. J. Eng. Mater. Technol. 102, 293-299.
2. Suresh, S. and Ritchie, R. O. (1981) On the influence of fatigue underloads on cyclic crack growth at low stress intensities. Mater. Sci. Eng. 51, 61-69.
3. Suresh, S. and Ritchie, R. O. (1982) A geometric model for fatigue crack closure induced by fracture surface morphology. Metallur. Trans. 13A, 1627-1631.
4. Elber, W. (1970) Fatigue crack closure under cyclic tension. Eng. Fract. Mech. 2, 37-45.
5. Elber, W. (1971) The significance of fatigue crack closure under cyclic tension. ASTM STP 486, 230-242.
6. Blom, A. F. and Holm, D. K. (1984) An experimental and numerical study of crack closure. Eng. Fract. Mech. 22, 997-1011.
7. Borrego, L. F. P. (2001) Fatigue crack growth under variable amplitude loading in AlMgSi aluminium alloys. PhD thesis, University of Coimbra, Portugal.
8. Bao, H. and McEvily, A. J. (1998) On plane stress-plane strain interactions in fatigue crack growth. Int. J. Fat. 20, 441-448.
9. Costa, J. D. M. and Ferreira, J. A. M. (1998) Effect of stress ratio and specimen thickness on fatigue crack growth of CK45 steel. Theor. Appl. Fract. Mech. 30, 65-73.
10. McClung, R. C. and Sehitoglu, H. (1989) On the finite element analysis of fatigue crack closure-1: Basic modelling issues. Eng. Fract. Mech. 33, 237-252.
11. Solanki, K., Daniewicz, S. R. and Newman, Jr. J. C. (2004) Finite element analysis of plasticity-induced crack closure: An overview. Eng. Fract. Mech. 71, 149-171.
12. Jiang, Y., Feng, M. and Ding, F. (2005) A re-examination of plasticity-induced crack closure in fatigue crack propagation. Int. J. Plast. 21, 1720-1740.
13. Parks, S.-J., Earmme, Y.-Y. and Song, J.-H. (1997) Determination of the most appropriate mesh size for a 2-D finite element analysis of fatigue crack closure behaviour. Fat. Fract. Eng. Mater. Struct. 20, 533-545.
14. Fleck, N. A. (1986) Finite element analysis of plasticity-induced crack closure under plane strain conditions. Eng. Fract. Mech. 25, 441-449.
15. Pommier, S. and Bompard, P. (2000) Bauschinger effect of alloys and plasticity-induced crack closure: A finite element analysis. Fat. Fract. Eng. Mater. Struct. 23, 129-139.
16. Pommier, S. (2002) Plain strain crack closure and cyclic hardening. Eng. Fract. Mech. 69, 25-44.
17. Sehitoglu, H. and Sun, W. (1991) Modelling of plane strain fatigue crack closure. ASME J. Eng. Mat. Technol. 113, 31-40.
18. González-Herrera, A. and Zapatero, J. (2005) Influence of minimum element size to determine crack closure stress by the finite element method. Eng. Fract. Mech. 72, 337-355.
19. Alizadeh, H., Hills, D. A., de Matos, P. F. P., Nowell, D., Pavier, M. J., Paynter, R. J., Smith, D. J. and Simandjuntak, S. (2006) A comparison of two and three-dimensional analyses of fatigue crack closure. Int. J. Fat. 29, 222-231.
20. Simandjuntak, S., Alizadeh, H., Smith, D. J. and Pavier, M. J. (2006) Three dimensional finite element prediction of crack closure and fatigue crack growth rate for a corner crack. Int. J. Fat. 25, 335-345.
21. Kim, J.-S., Kang, J. Y. and Song, J.-H. Elucidation of fatigue crack closure behaviour in surface crack by 3-D finite element analysis. Int. J. Fat. (in press).
22. Branco, R. and Antunes, F. V. (2007) Finite element modelling and analysis of crack shape evolution in mode-I fatigue middle cracked tension specimens. Eng. Fract. Mech. doi: 10.1016/ j.engfracmech.2007.12.012
23. Branco, R. (2006) Numerical study of fatigue crack growth propagation in MT specimens. Master thesis. University of Coimbra, 2006.
24. Lin, X. B. and Smith, R. A. (1999) Finite element modelling of fatigue crack growth of surface cracked plates. Part I: The numerical technique. Eng. Fract. Mech. 63, 503-522.
25. Richard, H. A. et al. (2008) Development of fatigue crack growth in real structures. Eng. Fract. Mech. 75, 331-340. doi: 10.1016/ j.engfracmech.2007.01.017
26. Couroneau, N. and Royer, J. (1998) Simplified model for the fatigue crack growth analysis of surface cracks in round bars under mode I. Int. J. Fat. 20, 711-718.
27. Bouvier, S., Haddadi, H., Levée, P. and Teodosiu, C. (2006) Simple shear tests: Experimental techniques and characterization of the plastic anisotropy of rolled sheets at large strains. J. Mater. Processing Technol. 172, 96-103.
28. Toyosada, M. and Gotoh, K. (2005) The Significance of plastic zone growth under cyclic loading and crack opening/closing model in fatigue crack propagation. Mater. Sci. Forum 482, 95-102.
29. Menezes, L. F. and Teodosiu, C. (2000) Three-dimensional numerical simulation of the deep-drawing process using solid finite elements. J. Mater. Processing Technol. 97, 100-106.
30. Oliveira, M. C., Alves, J. L. and Menezes, L. F. (2003) Improvement of a frictional contact algorithm for strongly curved contact problems. Int. J. Numer. Methods Eng. 58, 2083-2101.
31. Oliveira, M. C., Alves, J. L., Chaparro, B. M. and Menezes, L. F. (2007) Study on the influence of work-hardening modeling in springback prediction. Int. J. Plast. 23, 516-543.
32. Alves, J. L. and Menezes, L. F. (2001) Application of tri-linear and tri-quadratic 3-D solid FE in sheet metal forming process simulation. In: NUMIFORM 2001 (Edited by K. Mori). Balkema Publishers, Japan, pp. 639-644.
33. Oliveira, M. C. and Menezes, L. F. (2004) Automatic correction of the time step in implicit simulations of the stamping process. Finite Elem Anal Des 40, 1995-2010.
34. Antunes, F. V. and Rodrigues, D. M.. Numerical simulation of plasticity induced crack closure: Identification and discussion of parameters. Eng. Fract. Mech. (in press. corrected proof available online).
35. Antunes, F. V. and Ferreira, J. A. M. and Byrne, J. (1999) Stress intensity factor calculation based on the work of external forces. Int. J. Fract. 98, 1-14.
36. Solanki, K., Daniewicz, S. R. and Newman, Jr. J. C. (2003) Finite element modelling of plasticity-induced crack closure with emphasis on geometry and mesh refinement effects. Eng. Fract. Mech. 70, 1475-1489.
37. Roychowdhury, S. and Dodds, Jr. R. H. (2003) A numerical investigation of 3-D small-scale yielding fatigue crack growth. Eng. Fract. Mech. 70, 2363-2383.
38. Wu, J. and Ellyin, F. (1996) A study of fatigue crack closure by elastic-plastic finite element analysis for constant-amplitude loading. Int. J. Fract. 82, 43-65.
39. Parry, M. R., Syngellakis, S. and Sinclair, I. (2000) Numerical modeling of combined roughness and plasticity induced crack closure effects in fatigue. Mater. Sci. Eng. A 291, 224-234.
40. Lee, H. J. and Song, J. H. (2005) Finite element analysis of fatigue crack closure under plane strain conditions: Stabilization behaviour and mesh size effect. Fat. Fract. Eng. Mater. Struct. 28, 333-342.
41. McClung, R. C., Thacker, B. H. and Roy, S. (1991) Finite element visualization of fatigue crack closure in plane stress and plane strain. Int. J. Fract. 50, 27-49.
42. Benthem, J. B. (1977) State of stress at the vertex of a quarter-infinite crack in a half-space. Int. J. Solids Struct. 13, 479-492.
43. Bazant, Z. P. and Estenssoro, L. F. (1979) Surface singularity and crack propagation. Int. J. Solids Struct. 15, 405-426.
44. Pook, L. P. (1994) Some Implications of corner point singularities. Eng. Fract. Mech. 48, 367-378.
45. Burton, W. S., Sinclair, G. B., Solecki, J. S. and Swedlow, J. L. (1984) On the implications for LEFM of the three-dimensional aspects in some crack/surface intersection problems. Int. J. Fract. 25, 3-32.
46. Bakker, A. (1992) Three-dimensional constraint effects on stress intensity distributions in plate geometries with through-thickness cracks. Fat. Fract. Eng. Mater. Struct. 15, 1051-1069.