A three-dimensional (3D) numerical study of fatigue crack growth using remeshing techniques

Engineering Fracture Mechanics

Volumn 77, Issue 1, 2010, Pages 94-111

  Maligno, A R ^a   Rajaratnam, S ^b   Leen, S B ^b   Williams, E J ^b  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Fatigue crack growth; FEM; Remeshing

Indexed keywords

AEROENGINES; CRACK SHAPE; EXPERIMENTAL DATA; EXPERIMENTAL TEST; FATIGUE CRACK GROWTH; FE ANALYSIS; HIGH STRENGTH ALLOY STEEL; HOLLOW SHAFTS; MIXED-MODE LOADING; NUMERICAL STUDIES; PLANAR CRACKS; REMESHING; REMESHING TECHNIQUE; THREE-DIMENSIONAL (3D);

CRACK CLOSURE; CRACK DETECTION; FATIGUE OF MATERIALS; FINITE ELEMENT METHOD; MINING; THREE DIMENSIONAL;

FATIGUE CRACK PROPAGATION;

EID: 71749084015     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2009.09.017     Document Type: Article

References (59)

1. Belytschko T., Lu Y.Y., and Gu L. Element free Galerkin methods. Int J Numer Methods Engng 37 (1994) 229-256
2. Rashid M.M. The arbitrary local mesh replacement method: an alternative to remeshing for crack propagation analysis. Comput Methods Appl Mech Engng 154 (1998) 133-150
3. Belytschko T., and Black T. Elastic crack growth in finite elements with minimal remeshing. Int J Numer Methods Engng 45 (1999) 601-620
4. Moës N., Dolbow J., and Belytschko T. A finite element method for crack growth without remeshing. Int J Numer Methods Engng 46 (1999) 131-150
5. Budyn E., Zi G., Moës N., and Belytschko T. A method for multiple crack growth in brittle materials without remeshing. Int J Numer Meth Engng 61 (2004) 1741-1770
6. Babuska I., and Melenk J.M. The partition of unity method. Int J Numer Methods Engng 40 (1997) 727-758
7. de Andres A., Perez J., and Ortiz M. Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminium shafts subjected to axial loading. Int J Solids Struct 36 (1999) 2231-2258
8. Yang B., Mall S., and Ravi-Chandar K. A cohesive zone model for fatigue crack growth in quasibrittle materials. Int J Solids Struct 38 (2001) 3927-3944
9. Bordas S., and Moran B. Enriched finite elements and level sets for damage tolerance assessment of complex structures. Engng Fract Mech 73 9 (2006) 1176-1201
10. Moes N., Dolbow J., and Belytschko T. A finite element method for crack growth without remeshing. Int J Numer Methods Engng 46 1 (1999) 131-150
11. Moes N., Gravouil A., and Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets - Part I: Mechanical model. Int J Numer Methods Engng 53 (2002) 2549-2568
12. Gravouil A., Moes N., and Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets - Part II: Level set update. Int J Numer Methods Engng 53 (2002) 2569-2586
13. Duarte C.A., Hamzeh O.N., Liszka T.J., and Tworzydlo W. A generalized finite element method for the simulation of three-dimensional dynamic crack propagation. Comput Methods Appl Mech Engng 190 15-17 (2001) 2227-2262
14. Bordas S., and Duflot M. Derivative recovery and a posteriori error estimate for extended finite elements. Comput Methods Appl Mech Engng 196 35-36 (2007) 3381-3399
15. Bordas S., and Duflot M. A posteriori error estimation for extended finite elements by an extended global recovery. Int J Numer Methods Engng 76 8 (2008) 1123-1138
16. Bordas S., Duflot M., and LE P. A simple error estimator for extended finite elements. Commun Numer Methods Engng 24 11 (2008) 961
17. Xiao Q.Z., and Karihaloo B.L. Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery. Int J Numer Methods Engng 66 9 (2006) 1378-1410
18. Strouboulis T., Zhang L., Wang D., and Babuska I. A posteriori error estimation for generalized finite element methods. Comput Methods Appl Mech Engng 195 9-12 (2006) 852-879
19. Bordas S., Conley J.G., Moran B., Gray J., and Nichols E. A simulation-based design paradigm for complex cast components. Engng Comput 23 1 (2007) 25-37
20. Wyart E., Duflot M., Coulon D., Martiny P., Pardoen T., Remacle J.F., et al. Substructuring FE-XFE approaches applied to three-dimensional crack propagation. J Computat Appl Math 215 2 (2008) 626-638
21. Wyart E., Coulon D., Pardoen T., Remacle J.F., and Lani F. Application of the substructured finite element/extended finite element method (S-FE/XFE) to the analysis of cracks in aircraft thin walled structures. Engng Fract Mech 76 1 (2009) 44-58
22. Wyart E., Coulon D., Duflot M., Pardoen T., Remacle J.F., and Lani F. A substructured FE-shell/XFE-3D method for crack analysis in thin-walled structures. Int J Numer Methods Engng 72 (2007) 757-779
23. Bordas S, Zi G. Rabczuk T. Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment. In: IUTAM symposium on discretization methods for evolving discontinuities, vol. 5; 2007. p. 436.
24. Bordas S., Zi G., and Rabczuk T. A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Computat Mech 40 3 (2007) 473-495
25. Bordas S., Rabczuk T., et al. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engng Fract Mech 75 16 (2008) 4740-4758
26. Nguyen V.P., Bordas S., Rabczuk T., et al. Meshless methods: a review and computer implementation aspects. Math Comput Simul 79 3 (2008) 763-813
27. Bouchard P.O., Bay F., and Chastel Y. Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria. Comput Methods Appl Mech Engng 192 (2003) 3887-3908
28. Bouchard P.O., Bay F., Chastel Y., and Tovena I. Crack propagation modelling using an advanced remeshing technique. Comput Methods Appl Mech Engng 189 (2000) 723-742
29. Blackburn W.S. A remeshing algorithm for three-dimensional crack growth and intersection with surfaces or cracks in non-coplanar planes. Engng Anal Boundary Elements 24 (2000) 343-350
30. Schöllmann M., Fulland M., and Richard H.A. Development of a new software for adaptive crack growth simulations in 3D structures. Engng Fract Mech 70 (2003) 249-268
31. Yang Z.J., and Deeks A.J. Fully-automatic modelling of cohesive crack growth using a finite element-scaled boundary finite element coupled method. Engng Fract Mech 74 (2007) 2547-2573
32. Carter B.J., Wawrzynek P.A., Ingraffea A.R., and Carter B. Automated 3-D crack growth simulation. Int J Numer Methods Engng 47 (2000) 229-253
33. Ural A., Heber G., Wawrzynek P.A., Ingraffea A.R., Lewicki D.G., and Neto J.B. Three-dimensional, parallel, finite element simulation of fatigue crack growth in a spiral bevel pinion gear. Engng Fract Mech 72 (2005) 1148-1170
34. Barlow K.W., and Chandra R. Fatigue crack propagation simulation in an aircraft engine fan blade attachment. Int J Fatigue 27 (2005) 1661-1668
35. Spievak L.E., Wawrzynek P.A., Ingraffea A.R., and Lewicki D.G. Simulating fatigue crack growth in spiral bevel gears. Engn Fract Mech 68 (2001) 53-76
36. Zencrack manual, Version 7.4.
37. Paris P.C., and Erdogan F. A critical analysis of crack propagation laws. J Basic Engng 85 (1960) 528-534
38. Adrian P.C., and Aliabadi M.H. Dual boundary element assessment of three-dimensional fatigue crack growth. Engng Anal Boundary Elements 28 (2004) 1157-1173
39. Guagliano M., and Vergani L. A simplified approach to crack growth prediction in a crank shaft. Fatigue Fract Engng Mater Struct 17 5 (1994) 1295-1306
40. ABAQUS User's and Theory Manuals, Version 6.5, HKS Inc. (2005).
41. Rice J.R. A path independent integral and the approximate analysis of strain concentrations by notches and cracks. J. Appl Mech 35 (1968) 379-386
42. Li F.Z., Shih C.F., and Needleman A. A comparison of methods for calculating energy release rate. Engng Frac Mech 21 (1985) 405-421
43. Parks D.M. The virtual crack extension method for nonlinear material behavior. Comput Methods Appl Mech Engng 12 (1977) 353-364
44. DeLorenzi H.G. On the energy release rate and the J-integral for 3D crack configurations. J Fract 19 (1982) 183-193
45. Elber W. The significance of fatigue crack closure. Damage tolerance in aircraft structures. ASTM STP 486 (1971) 230-242
46. Schijve J. Fatigue of structures and materials. Kluwer Academic Publishers; 2001.
47. Janssen M, Zuidema J, Wanhill R. Fracture Mechanics. SPON 2nd ed.
48. AFGROW manual, Air Vehicles Directorate, US Air Force, 2006.
49. Harter J.A. Comparison of contemporary FCG life prediction tools. Int J Fatigue 21 (1999) 181-185
50. Sabesan R, Leen SB, Williams EJ. Fatigue crack growth in shafts using the finite element method. In: Proceedings form the conference Fatigue-2007, Cambridge (UK); 2007.
51. Murakami Y., and Tsuru H. Stress intensity factors handbook, vol. II (1987), Oxford Pergamon press
52. Lee Y.L., Pan J., Hathaway R.B., and Barkey M.E.B. Fatigue test and analysis - theory and practice (2005), Elsevier
53. Ding F., Feng M., and Jiang Y. Modeling of fatigue crack growth from a notch. Int J Plasticity 23 (2007) 1167-1188
54. Fonte M.A., Reis L., Romeiro F., and Freitas M.M. The effect of steady torsion on fatigue crack growth in shafts. Int J Fatigue 28 (2005) 609-617
55. Fonte M.A., and Freitas M.M. Stress intensity factors for semi-elliptical surface crack in round bars under bending and torsion. Int J Fatigue 21 (1999) 457-463
56. Fonte M.A., and Freitas M.M. Semi-elliptical crack growth under rotating or reversed bending and combined with a steady torsion. Fatigue Fract Engng Mater Struct 20 (1997) 895-906
57. Yang F.P., and Kuang Z.B. Fatigue crack growth for a surface crack in a round bar under multi-axial loading condition. Fatigue Fract Engng Mater Struct 28 (2005) 963-970
58. Bordas S., Nguyen P.V., and Dunant C. An extended finite element library. Int J Numer Method Engng 71 6 (2007) 703-732
59. Duddu R., Bordas S., Chopp D., et al. A combined extended finite element and level set method for biofilm growth. Int J Numer Methods Engng 74 5 (2008) 848-870