A multi-model X-FEM strategy dedicated to frictional crack growth under cyclic fretting fatigue loadings

International Journal of Solids and Structures

Volumn 47, Issue 10, 2010, Pages 1405-1423

  Baietto, M C ^a   Pierres, E ^a   Gravouil, A ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Crack face frictional contact; Fatigue crack growth; Fretting; X FEM

Indexed keywords

FATIGUE CRACK PROPAGATION; FATIGUE OF MATERIALS; FINITE ELEMENT METHOD; FRICTION; NUMERICAL METHODS; NUMERICAL MODELS;

CONTACT WITH FRICTIONS; CRACK-GROWTH DIRECTION; EXTENDED FINITE ELEMENT METHOD; FRETTING; FRETTING FATIGUE CRACKS; FRICTION COEFFICIENTS; FRICTIONAL CONTACT; MULTI-AXIAL LOADINGS;

CRACKS;

EID: 77949489203     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.02.003     Document Type: Article

References (49)

1. Amestoy M., Bui H.D., and Dang Van K. Déviation infinitésimale d'une fissure dans une direction arbitraire. Comptes Rendus Academy of Sciences Paris B289 (1979) 99-102
2. Babuska I., and Melenk J.M. The partition of unity method. International Journal for Numerical Methods in Engineering 40 (1997) 727-758
3. Béchet E., Moës N., and Wohlmuth B. A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method. International Journal for Numerical Methods in Engineering (2008) Online
4. Bower A.F. The influence of crack face friction and trapped fluid on surface initiated rolling contact fatigue cracks. Transactions on American Society of Mechanical Engineering Journal of Tribology 110 (1988) 704-711
5. Carter B., Wawrzynek P., and Ingraffea A. Automated 3D crack growth simulation. International Journal for Numerical Methods in Engineering 47 (2000) 229-253
6. Comninou M. The interface crack. ASME Journal of Applied Mechanics 44 (1977) 631-636
7. Dang Van, K., 1993. Macro-micro approach in high cycle multiaxial fatigue. In: Mc Dowell, D.L., Ellis, R. (Eds.), Advances in Multiaxial Fatigue, ASTM STP 1191.
8. Dang Van K., and Maitournam M.H. On a new methodology for quantitative modelling of fretting fatigue. In: Hoeppner D.W., Chandrasekaran V., and Elliott C.B. (Eds). Fretting Fatigue: Current Technology and Practices ASTM STP 1367 (2000), American Society for Testing and Materials, West Conshohocken, PA 538-552
9. Destuynder P., Djaoua M., and Lescure S. Some remarks on elastic fracture mechanics (quelques remarques sur la mécanique de la rupture élastique). Journal de Mécanique théorique et appliqué 2 1 (1983) 113-135
10. Dhondt G. Automatic 3-D mode in crack propagation calculations with finite elements. International Journal for Numerical Methods in Engineering 41 4 (1998) 739-757
11. Dolbow J., Moës N., and Belytschko T. An extended finite element method for modelling crack growth with frictional contact. Computer Methods in Applied Mechanics and Engineering 53 (2001) 6825-6846
12. Dubourg M.C., and Villechaise B. Unilateral contact analysis of a crack with friction. European Journal of Mechanics - A/Solids 8 4 (1989) 309-319
13. Dubourg M.C., and Villechaise B. Analysis of multiple fatigue cracks. Part I: Theory. ASME Journal of Tribology 114 (1992) 455-461
14. Dubourg M.C., Godet M., and Villechaise B. Analysis of multiple fatigue cracks. Part II: Results. ASME Journal of Tribology 114 3 (1992) 462-468
15. Dubourg M.C., and Kalker J.J. Crack behaviour under rolling contact fatigue. In: Kalker J.J., Cannon D.F., and Orringer O. (Eds). Rail Quality and Maintenance for Modern Railway Operation (1993), Kluwer, Dordrecht, Netherlands 373-384
16. Dubourg M.C., and Lamacq V. Stage II propagation direction under fertting fatigue loading: a new approach in accordance with experimental observations. In: Hoeppner D.W., Chandrasekaran V., and Elliott C.B. (Eds). Fretting Fatigue: Current Technology and Practices ASTM STP 1367 (2000), American Society for Testing and Materials, West Conshohocken, PA 437-450
17. Dubourg M.C., and Lamacq V. A predictive rolling contact fatigue crack growth model: onset of branching, direction and growth. Role of dry and lubricated conditions on crack patterns. ASME, Journal of Tribology 124 (2002) 688
18. Dubourg M.C., Berthier Y., and Vincent L. Cracking under fretting fatigue: damage prediction under multiaxial fatigue. Journal of Strain Analysis 37 6 (2002) 519-533
19. Dundurs J., and Mura T. Interaction between an edge dislocation and a circular inclusion. Journal of the Mechanics and Physics of Solids 12 (1964) 177-189
20. Elguedj T., Gravouil A., and Combescure A. A mixed augmented Lagrangian extended finite element method for modelling elastic-plastic fatigue crack growth with unilateral contact. International Journal for Numerical Methods in Engineering 71 (2007) 1569-1597
21. Erdogan F., and Sih G.C. On the crack extension in plates under plane loading and transverse shear. Transactions of the ASME, Journal of Basic Engineering 85 (1963) 519-527
22. Fouvry S., Kapsa Ph., Vincent L., and Dang Van K. Theoretical analysis of fatigue cracking under dry friction for fretting loading conditions. Wear 195 (1996) 21-34
23. Géniaut S., Massin P., and Moës N. A stable 3D contact formulation for cracks using X-FEM. Revue européenne de mécanique numérique 16 (2007) 259-276
24. Giner E., Sukumar N., Denia F.D., and Fuenmayor F.J. Extended finite element method for fretting fatigue crack propagation. International Journal of Solids and Structures 45 22-23 (2008) 5675-5687
25. Gravouil A., Moës N., and Belytschko T. Non-planar 3D crack growth with the extended finite element and level sets - Part2: Level set update. International Journal for Numerical Methods in Engineering 53 11 (2002) 2569-2586
26. Hills D.A., and Comninou M. An analysis of fretting fatigue cracks during loading phase. International Journal of Solids Structures 21 4 (1985) 399-410
27. Hills D.A., and Nowell D. Mechanics of fretting fatigue. In: Gladwell G.M.L. (Ed). Solid Mechanics and its Applications vol. 30 (1994), Kluwer Academic Publishers 236 ISBN 0792328663
28. Hourlier F., D'Hondt H., Truchon M., and Pineau A. Fatigue crack path behaviour under polymodal fatigue. In: Miller K.J., and Brown M.W. (Eds). Multiaxial Fatigue ASTM STP 853 (1985), ASTM, Philadelphia, PA 228-248
29. Johnson K.L. Contact Mechanics (1985), Cambridge University Press Ninth Printing, p. 452
30. Kalker J.J. Three-dimensional elastic bodies in rolling contact. In: Gladwell G.M.L. (Ed). Solids Mechanics and its Applications vol. 2 (1990), Kluwer Academics Publishers ISBN 0-7923-0712-7, 314 p.
31. Krenk S. On the use of the interpolation polynomial for solutions of singular integral equations. Quarterly of Applied Mathematics 32 (1975) 479-484
32. Ladevèze P. Nonlinear Computational Structural Mechanics (1998), Springer, New York
33. Liu F., and Borja R.I. A contact algorithm for frictional crack propagation with the extended finite element method. International Journal for Numerical Methods in Engineering 76 10 (2008) 1489-1512
34. Miller K.J. Material science perspective of metal fatigue resistance. Materials and Science Technology 9 (1993) 453-462
35. Moës N., Dolbow J., and Belytschko T. A finite element method without remeshing. International Journal for Numerical Methods in Engineering 46 (1999) 131-150
36. Moran B., and Shih C. Crack tip and associated domain integrals from momentum and energy balance. Engineering Fracture Mechanics 127 (1987) 615-642
37. Neto J.C., Wawrzynek P., Carvalho M., Martha L., and Ingraffea A. An algorithm for three-dimensional mesh generation for arbitrary regions with cracks. Engineering with Computers 17 (2001) 75-91
38. Nowell D., and Hills D.A. Crack initiation criteria in fretting fatigue. Wear 135 (1990) 329-343
39. Pierres E., Baietto M.C., and Gravouil A. A two-scale extended finite element method for modeling 3D crack growth with interfacial contact. Computer Methods in Applied Mechanics and Engineering 199 17-20 (2010) 1165-1177
40. Rannou J., Gravouil A., and Baietto-Dubourg M.C. A local multigrid X-FEM strategy for 3-D crack propagation. International Journal for Numerical Methods in Engineering 77 (2008) 1641-1669
41. Ribeaucourt R., Baietto-Dubourg M.C., and Gravouil A. A new fatigue frictional contact crack propagation model with the coupled X-FEM/LATIN method. Computer Methods in Applied Mechanics and Engineering 196 (2007) 3230-3247
42. Ruiz C., Boddington P.H.B., and Chen K.C. An investigation of fatigue and fretting in a dovetail joint. Experimental Mechanics 24 3 (1984) 208-217
43. Sih G.C. Strain-energy-density factor applied to mixed mode crack problems. International Journal of Fracture 10 3 (1974) 305-321
44. Sukumar N., Chopp D.L., Béchet E., and Moës N. Three-dimensional nonplanar crack growth by a coupled extended finite element and fast marching method. Computer Methods in Applied Mechanics and Engineering 76 5 (2008) 727-748
45. Suresh S. Fatigue of Materials (1998), Cambridge University Press ISBN 0521578477, 9780521578479, p. 679
46. Vincent L., Berthier Y., Dubourg M.C., and Godet M. Mechanics and materials in fretting. Wear 153 (1992) 135-148
47. Vitali E., and Benson D.J. Contact with friction in multi-material arbitrary Lagrangian-Eulerian formulations using X-FEM. International Journal for Numerical Methods in Engineering 76 6 (2008) 893-921
48. Wittkowsky B.U., Birch P.R., Dominguez J., and Suresh S. An experimental investigation of fretting fatigue with spherical contact in 7075-T6 aluminium alloy. In: Hoeppner D.W., Chandrasekaran V., and Elliott C.B. (Eds). Fretting Fatigue: Current Technology and Practices ASTM STP 1367 (2000), American Society for Testing and Materials, West Conshohocken, PA 213-227
49. Yau J.F., Wang S.S., and Corten H.T. A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity, J. Applied Mechanics 47 (1980) 335-341