Brittle fracture and fatigue propagation paths of 3D plane cracks under uniform remote tensile loading

International Journal of Fracture

Volumn 122, Issue 1-2, 2003, Pages 23-46

  Lazarus, Véronique ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Angular point; Brittle fracture; Fatigue; Hydraulic fracturing; Linear elasticity; Mode I crack; Perturbation method; Plane flat crack; Propagation path; Stress intensity factor; Tridimensional; Weight function

Indexed keywords

CRACK PROPAGATION; ELASTICITY; FATIGUE OF MATERIALS; FINITE ELEMENT METHOD; STRESS INTENSITY FACTORS;

PENNY SHAPE CRACKS;

BRITTLE FRACTURE;

BRITTLE FRACTURE;

EID: 0942278094     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:FRAC.0000005373.73286.5d     Document Type: Article

References (23)

1. Bower, A. F. and Ortiz, M. (1990). Solution of Three-Dimensional Crack Problems by a Finite Perturbation Method. Journal of the Mechanics and Physics of Solids 38(4), 443-480.
2. Bower, A. F. and Ortiz, M. (1991). A Three-Dimensional Analysis of Crack Trapping and Bridging by Tough Particles. Journal of the Mechanics and Physics of Solids 39(6), 815-858.
3. Bower, A. F. and Ortiz, M. (1993). An Analysis of Crack Trapping by Residual Stresses in Brittle Solids. ASME Journal of Applied Mechanics 60, 175-182.
4. Bueckner, H. F. (1970). A Nover Principle for the Computation of Stress Intensity Factors. Zeitschrift fur Angewandte Mathematik und Mechanik 50(9), 529-546.
5. Fares, N. (1989). Crack Fronts Trapped by Arrays of Obstacles: Numerical Solutions based on Surface Integral Representation. Transactions of the ASME. Journal of Applied Mechanics 56(4), 837-843.
6. Gao, H. and Rice, J.R. (1987a). Nearly Circular Connections of Elastic Half Spaces. ASME Journal of Applied Mechanics 54(4), 627-634.
7. Gao, H. and Rice, J.R. (1987b). Somewhat Circular Tensile Cracks. International Journal of Fracture 33(3), 155-174.
8. Gao, H. and Rice, J.R. (1989). A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles. Transactions of the ASME 56, 828-836.
9. Irwin, G. R. (1962). Crack-Extension Force for a Part-Through Crack in a Plate. ASME Journal of Applied Mechanics 29, 654-661.
10. Leblond, J.-B. and Leguillon, D. (1999). Asymptotic behavior of stress intensity factors near an angular point of a crack front. European Journal of Mechanics, A/Solids 18(1), 135-145.
11. Leblond, J.-B., Mouchrif, S.-E. Perrin, G. (1996). The Tensile Tunnel-Crack with a Slightly Wavy Front. International Journal of Solids and Structures 33(14), 1995-2022.
12. Meade, K. P. and Keer, L. M. (1984). On the problem of a pair of point forces applied to the faces of a semi-infinite plane crack. Journal of Elasticity 14(1), 3-14.
13. Rice, J. R. (1972). Some remarks on elastic crack-tip stress fields. International Journal of Solids and Structures 8(6), 751-758.
14. Rice, J. R. (1985). First-Order Variation in Elastic Fields Due to Variation in Location of a Planar Crack Front. ASME Journal of Applied Mechanics 52(3), 571-579.
15. Rice, J. R. (1989). Weight Function Theory for Three-Dimensional Elastic Crack Analysis. In: R. P. Wei and R. P. Gangloff (eds.): Fracture Mechanics: Perspectives and Directions (Twentieth Symposium). Philadelphia, USA, pp. 29-57.
16. Stallybrass, M. (1981). ON the concentrated loading of certain elastic half-space problems and related external crack problems. A new approach. International Journal of Engineering Science 19(8), 1123-1144.
17. Stolarska, M., Chopp, D., Noes, N. and Belytschko, T. (2001). Modelling crack growth by level sets in the extended finite element method. International Journal for Numerical Methods in Engineering 51, 943-960.
18. Sukumar, N., Chopp, D. L. and Moran, B. (2003). Extended finite element method and fast marching method for three-dimensional fatigure crack propagation. Engineering Fracture Mechanics 70(1), 29-48.
19. Sukumar, N., Moes, N., Moran, B. and Belytschko, T. (2000). Extended finite element method for three-dimensional crack modellins. International Journal for Numerical Methods in Engineering 48(11), 1549-1570.
20. Tada, H., Paris, P. C. and Irwin, G. R. (1973). The Stress Analysis of Cracks Handbook. Del Research Corporation, Hellertown, USA.
21. Weaver, J. (1977). Three-dimensional crack analysis. International Journal of Solids and Structures 13(4), 321-330.
22. Xu, G. and Ortiz, M. (1993). A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops. International Journal for Numerical Methods in Engineering 36(1), 3675-3701.
23. Xu, Y., Moran, B. and Belytschko, T. (1997). Self similar crack expansion method for three-dimensional crack analysis. ASME Journal of Applied Mechanics 64(4), 729-739.