Numerical simulation of plasticity induced crack closure: Identification and discussion of parameters

Engineering Fracture Mechanics

Volumn 75, Issue 10, 2008, Pages 3101-3120

  Antunes, F V ^a   Rodrigues, D M ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

Elastic plastic material behaviour; Finite element analysis; Middle crack tension specimen; Numerical parameters; Plasticity induced crack closure

Indexed keywords

COMPUTER SIMULATION; EXTRAPOLATION; FATIGUE CRACK PROPAGATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PLASTICITY; STRESS CONCENTRATION;

CRACK FRONT; PLASTICITY INDUCED CRACK CLOSURE;

CRACK CLOSURE;

COMPUTER SIMULATION; CRACK CLOSURE; EXTRAPOLATION; FATIGUE CRACK PROPAGATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PLASTICITY; STRESS CONCENTRATION;

EID: 40849120537     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2007.12.009     Document Type: Article

References (71)

1. Elber W. The significance of fatigue crack closure under cyclic tension. ASTM STP 486 (1971) 230-242
2. Blom A.F., and Holm D.K. An experimental and numerical study of crack closure. Engng Fract Mech 22 (1984) 997-1011
3. Borrego LFP. Fatigue crack growth under variable amplitude loading in AlMgSi aluminium alloys. PhD thesis. University of Coimbra: Portugal; 2001.
4. Christensen R.H. Fatigue crack growth affected by metal fragments wedged between opening-closing crack surfaces. Appl Mater Res 2 4 (1963) 207-210
5. Elber W. Fatigue crack closure under cyclic tension. Engng Fract Mech 2 (1970) 37-45
6. James MN. Some unresolved issues with fatigue crack closure - measurement, mechanism and interpretation problems. In: Karihaloo BL, Mai Y-W, Ripley MI, Ritchie RO, editors. Ninth international conference on fracture. Pergamon Press; 1997. p. 2403-14.
7. Ritchie R.O., Zurres S., and Moss C.M. Near-threshold fatigue crack growth in 2(1/4)Cr-1 Mo pressure vessel steel in air and hydrogen. J Engng Mater Technol 102 (1980) 293-299
8. Suresh S., and Ritchie R.O. On the influence of fatigue underloads on cyclic crack growth at low stress intensities. Mater Sci Eng 51 (1981) 61-69
9. Suresh S., and Ritchie R.O. A geometric model for fatigue crack closure induced by fracture surface morphology. Metallur Trans 13A (1982) 1627-1631
10. Tzou J.L., Suresh S., and Ritchie R.O. Fatigue crack propagation in oil environments, I-crack growth in silicone and paraffin oils. Acta Metallur 33 (1985) 105-116
11. Pineau A.G., and Pelloux R.M. Influence of strain induced martensitic transformations on fatigue crack growth rates in stainless steels. Metallur Trans 5 (1974) 1103-1112
12. Takeshio O., and Koboyshi H. Near-threshold fatigue crack growth and crack closure in a nodular cast iron. Fatigue Fract Engng Mater Struct 10 (1987) 273-280
13. Louat N., Sadananda K., Duesbery M., and Vasudevan A.K. A theoretical evaluation of crack closure. Metallur Trans 24A (1993) 2225-2232
14. Vasudeven A.K., Sadananda K., and Louat N. A review of crack closure, fatigue crack threshold and related phenomena. Mater Sci Engng A188 (1994) 1-22
15. Sadananda K., Vasudevan A.K., Holtz R.L., and Lee E.U. Analysis of overloads effects and related phenomena. Int J Fatigue 21 (1999) S233-S246
16. Kumar R. Review on crack closure for constant amplitude loading in fatigue. Engng Fract Mech 42 (1992) 389-400
17. Wang G.S. The plasticity aspect of fatigue crack growth. Engng Fract Mech 46 6 (1993) 909-930
18. Laird C., and Smith G.L. Initial stages of damage in high stress fatigue in some pure metals. Phil Mag 95 8 (1963) 1945-1963
19. Laird C. The influence of metallurgical structure on the mechanisms of fatigue crack propagation. ASTM STP 415 (1967) 247-309
20. Pommier S., and Bompard Ph. Bauschinger effect of alloys and plasticity-induced crack closure: a finite element analysis. Fatigue Fract Engng Mater Struct 23 (2000) 129-139
21. Roychowdhury S., and Dodds Jr. R.H. A numerical investigation of 3D small-scale yielding fatigue crack growth. Engng Fract Mech 70 (2003) 2363-2383
22. Wei L.-W., and James M.N. A study of fatigue crack closure in polycarbonate CT specimens. Engng Fract Mech 66 (2000) 223-242
23. Skinner J.D., and Daniewicz S.R. Simulation of plasticity-induced fatigue closure in part-through cracked geometries using finite element analysis. Engng Fract Mech 69 (2002) 1-11
24. Zhang J.Z., and Bowen P. On the finite element simulation of three-dimensional semi-circular fatigue crack growth and closure. Engng Fract Mech 60 3 (1998) 341-360
25. Chermani R.G., Shivakumar K.N., Newman Jr. J.C., and Blom A.F. Three-dimensional aspects of plasticity-induced fatigue crack closure. Engng Fract Mech 34 2 (1989) 393-401
26. Ellyin F., and Wu J. A numerical investigation on the effect of an overload on fatigue crack opening and closure behaviour. Fatigue Fract Engng Mater Struct 22 (1999) 835-847
27. Cordero A., Garci{dotless}́a-Manrique J., Moreno B., Zapatero J., and González-Herrera A. Estudio numérico del efecto en el cierre en fatiga de la longitud de grieta. Anales de Mecánica de la Fractura 20 (2003) 53-58
28. Solanki K., Daniewicz S.R., and Newman Jr. J.C. Finite element modelling of plasticity-induced crack closure with emphasis on geometry and mesh refinement effects. Engng Fract Mech 70 (2003) 1475-1489
29. Simandjuntak S., Alizadeh H., Smith D.J., and Pavier M.J. Three dimensional finite element prediction of crack closure and fatigue crack growth rate for a corner crack. Int J Fatigue 25 (2006) 335-345
30. Pommier S. A study of the relationship between variable level fatigue crack growth and the cyclic constitutive behaviour of steel. Int J Fatigue (2001) S111-S118
31. Pommier S., and Freitas M. Effect on fatigue crack growth of interactions between overloads. Fatigue Fract Engng Mater Struct 25 (2002) 709-722
32. McClung R.C., and Sehitoglu H. On the finite element analysis of fatigue crack closure-2: numerical results. Engng Fract Mech 33 (1989) 253-272
33. Pommier S. Plain strain crack closure and cyclic hardening. Engng Fract Mech 69 (2002) 25-44
34. Garci{dotless}́a-Manrique J., Cordero A., Pascual J., Zapatero J., and González-Herrera A. Influencia de los modelos de plastificación en la simulación por elementos finitos del cierre en fatiga. Anales de Mecánica de la Fractura 20 (2003) 65-70
35. Jiang Y., Feng M., and Ding F. A re-examination of plasticity-induced crack closure in fatigue crack propagation. Int J Plasticity 21 (2005) 1720-1740
36. González-Herrera A., and Zapatero J. Influence of minimum element size to determine crack closure stress by the finite element method. Engng Fract Mech 72 (2005) 337-355
37. Kim J.-S., Kang J.Y., and Song J.-H. Elucidation of fatigue crack closure behaviour in surface crack by 3D finite element analysis. Int J Fatigue 29 (2007) 168-180
38. Parks S.-J., Earmme Y.-Y., and Song J.-H. Determination of the most appropriate mesh size for a 2D finite element analysis of fatigue crack closure behaviour. Fatigue Fract Engng Mater Struct 20 4 (1997) 533-545
39. Ogura K., and Ohji K. FEM analysis of crack closure and delay effect in fatigue crack gowth under variable amplitude loading. Engng Fract Mech 9 (1977) 471-480
40. Ogura K, Ohji K, Honda K. Influence of mechanical factors on the fatigue crack closure. Advances in research on the strength and fracture of materials (fracture 1977). In: Proceedings of the fourth International Conference on Fracture Mechanics, vol. 2D. Waterloo, Canada; 1977. p. 1035-47.
41. Palazotto A.N., and Mercer J.G. A finite element comparison between short and long cracks within a plastic zone due to a notch. Engng Fract Mech 35 (1990) 967-986
42. McClung R.C., and Sehitoglu H. On the finite element analysis of fatigue crack closure-1: basic modelling issues. Engng Fract Mech 33 2 (1989) 237-252
43. Antunes F.V., Borrego L.F.P., Costa J.D., and Ferreira J.M. A numerical study of fatigue crack closure induced by plasticity. Fatigue Fract Engng Mater Struct 27 9 (2004) 825-836
44. Solanki K., Daniewicz S.R., and Newman Jr. J.C. A new methodology for computing crack opening values from finite element analysis. Engng Fract Mech 71 (2004) 1165-1175
45. Alizadeh H., Hills D.A., de Matos P.F.P., Nowell D., Pavier M.J., Paynter R.J., et al. A comparison of two and three-dimensional analyses of fatigue crack closure. Int J Fatigue 29 (2007) 223-231
46. Solanki K., Daniewicz S.R., and Newman Jr. J.C. Finite element analysis of plasticity-induced crack closure: an overview. Engng Fract Mech 71 (2004) 149-171
47. Newman Jr. J.C. A finite element analysis of fatigue crack closure. ASTM STP 590 (1976) 281-301
48. Wu J., and Ellyin F. A study of fatigue crack closure by elastic-plastic finite element analysis for constant-amplitude loading. Int J Fract 82 (1996) 43-65
49. Sun W., and Sehitoglu H. Residual stress fields during fatigue crack growth. Fatigue Fract Engng Mater Struct 15 (1989) 115-128
50. Sehitoglu H., and Sun W. Modelling of plane strain fatigue crack closure. ASME J Eng Mat Technol 113 (1991) 31-40
51. Hellyin F., and Wu J. A numerical investigation on the effect of an overload on fatigue crack opening and closure behaviour. Fatigue Fract Engng Mater Struct 22 (1999) 835-847
52. Shterenlikht A., Di{dotless}́as-Garrido F.A., Lopez-Crespo P., Withers P.J., Yates J.R., and Patterson E.A. Mixed mode (K_II + K_II) stress intensity factor measurement by electronic speckle pattern interferometry and image correlation. Appl Mech Mater 1-2 (2004) 107-112
53. Antunes FJV, Rodrigues DM, Ferreira JAM. Simulação numérica do fecho de fenda: Alguns aspectos associadosà discretização por elementos finitos. In: Mota Soares CA, et al., editors. Congresso de Métodos Computacionais em Engenharia. Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional, Lisboa; 2004. p. 309.
54. Rodrigues DM, Antunes FV. Numerical Simulation of plasticity induced crack closure in 6xxx aluminium alloys: effect of work hardening modelling. In Fourth international alloy conference (IAC 4), Kos, Greece; 2005.
55. Bouvier S., Alves J.L., Oliveira M.C., and Menezes L.F. Modeling of anisotropic work-hardening behaviour of metallic materials subjected to strain-path changes. ComputMater Sci 32 3-4 (2005) 301-315
56. Fleck N.A., and Newman Jr. J.C. Analysis of crack closure under plain strain conditions. In: Newman Jr. J.C., and Elber W. (Eds). Mechanics of fatigue crack closure. ASTM STP vol. 982 (1988), American Society for Testing and Materials, Philadelphia 319-341
57. Chermahini R.G., Palmberg B., and Blom A.F. Fatigue crack growth and closure behaviour of semicircular and semielliptical surface flaws. Int J Fatigue 15 (1993) 259-263
58. Toyosada M., and Gotoh K. The significance of plastic zone growth under cyclic loading and crack opening/closing model in fatigue crack propagation. Mater Sci Forum 482 (2005) 95-102
59. Menezes L.F., and Teodosiu C. Three-dimensional numerical simulation of the deep-drawing process using solid finite elements. J Mater Process Technol 97 (2000) 100-106
60. Alves L., Oliveira M.C., and Menezes L.F. An advanced constitutive model in sheet metal forming simulation: the Teodosiu microstructural model and the Cazacu Barlat yield criterion. In: Ghosh S., Castro J.M., and Lee J.K. (Eds). NUMIFORM, 2004 (2004), American Institute of Physics 645-1650
61. Oliveira M.C., and Menezes L.F. Automatic correction of the time step in implicit simulations of the stamping process. Finite Elem Anal Des 40 (2004) 1995-2010
62. Menezes L.F., Thuiller S., Manach P.Y., and Bouvier S. Influence of the work-hardening models on the numerical simulation of a reverse deep-drawing process. In: Khan A.S., and Lopez-Pamies O. (Eds). Plasticity'02 (2001), Neat Press 331-333
63. Alves JL, Oliveira MC, Menezes LF. Influence of the yield criteria in the numerical simulation of the deep drawing of a cylindrical cup. In: Oñate E, Owen DRJ, editors. COMPLAS-2003. Barcelona; 2003. p. 158.
64. Alves JL, Menezes LF. Application of tri-linear and tri-quadratic 3D solid FE in sheet metal forming process simulation. In: Mori K, editors. NUMIFORM 2001. Japan; 2001. p. 639-44.
65. Dougherty J.D., Padovan J., and Srivatson T.S. Fatigue crack propagation and closure behaviour of modified 1071 steel: finite element study. Engng Fract Mech 66 2 (1997) 189-212
66. Haddadi H., Bouvier S., Banu M., Maier C., and Teodosiu C. Towards an accurate description of the anisotropic behaviour of sheet metals under large plastic deformations: modelling, numerical analysis and identification. Int J Plasticity 22 (2006) 2226-2271
67. Toribio J., and Kharin V. Large crack tip deformations and plastic crack advance during fatigue. Mater Lett 61 (2007) 964-967
68. Allison J.E., Ku R.C., and Pompetzki M.A. A comparison of measurement methods and numerical procedures for the experimental characterization of fatigue crack closure. ASTM STP 982 (1988) 171-185
69. Schijve J. Some formulas for the crack opening stress level. Engng Fract Mech 14 (1981) 461-465
70. de Koning A.U. A simple crack closure model for prediction of fatigue crack growth rates under variable-amplitude loading. ASTM STP 743 (1981) 63-85
71. Newman Jr. J.C. A crack opening stress equation for fatigue crack growth. Int J Fract 24 (1984) R131-R135