The anisotropic R-criterion for crack initiation

Engineering Fracture Mechanics

Volumn 75, Issue 14, 2008, Pages 4257-4278

  Khan, Shafique M A ^a   Khraisheh, Marwan K ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Anisotropy; Crack initiation; Crack tip plasticity; Mixed mode fracture; Stress intensity factor

Indexed keywords

ANISOTROPY; CRACK INITIATION; CRACK TIPS; STRESS INTENSITY FACTORS;

ANGLED CRACK PLATE PROBLEM; MIXED MODE FRACTURE;

FRACTURE MECHANICS;

ANISOTROPY; CRACK INITIATION; CRACK TIPS; FRACTURE MECHANICS; STRESS INTENSITY FACTORS;

EID: 44549087183     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2008.04.002     Document Type: Article

References (30)

1. Khan S.M.A., and Khraisheh M.K. Analysis of mixed mode crack initiation angles under various loading conditions. Engng Fract Mech 67 5 (2000) 397-419
2. Saouma V.E., Ayari M.L., and Leavell D.A. Mixed mode crack propagation in homogeneous anisotropic solids. Engng Fract Mech 27 2 (1987) 171-184
3. Erdogan F., and Sih G.C. On the crack extension in plates under plane loading and transverse shear. J Basic Engng 85 (1963) 519-527
4. Gdoutos E.E., Zacharopoulos D.A., and Meletis E.I. Mixed-mode crack growth in anisotropic media. Engng Fract Mech 34 2 (1989) 337-346
5. Sih G.C. Strain-energy-density factor applied to mixed mode crack problems. Int J Fract 10 3 (1974) 305-321
6. Ye Z., and Ayari M.L. Prediction of crack propagation in anisotropic solids. Engng Fract Mech 49 6 (1994) 797-808
7. Theocaris P.S., and Philippidis T.P. Mixed-mode fracture mechanics of anisotropic plates by means of the T-criterion. Int J Fract 52 (1991) 223-237
8. Theocaris P.S., Kardomateas G.A., and Andrianopoulos N.P. Experimental study of the T criterion in ductile fracture. Engng Fract Mech 17 5 (1982) 439-447
9. Ayari M.L., and Ye Z. Maximum strain theory for mixed mode crack propagation in anisotropic solids. Engng Fract Mech 52 3 (1995) 389-400
10. Pan J., and Shih C.F. Plane-strain crack-tip fields for power-law hardening orthrotropic materials. Mech Mater 5 4 (1986) 299-316
11. Khraisheh M.K., and Khan S.M.A. Maximum stress triaxiality ratio criterion for mixed mode crack initiation in anisotropic materials. Int J Fract 104 (2000) L11-L16
12. Kong X.M., Schluter N., and Dahl W. Effect of triaxial stress on mixed-mode fracture. Engng Fract Mech 52 2 (1995) 379-388
13. Hoenig A. Near-tip behavior of a crack in a plane anisotropic elastic body. Engng Fract Mech 16 3 (1982) 396-403
14. Khan S.M.A., and Khraisheh M.K. A new criterion for mixed mode fracture initiation based on the crack tip plastic core region. Int J Plast 20 (2004) 55-84
15. Bian L., and Kim S.K. The minimum plastic zone radius criterion for crack initiation direction applied to surface cracks and through-cracks under mixed mode loading. Int J Fatigue 26 (2004) 1169-1178
16. Hammouda M.M.I., Fayed A.S., and Sallam H.E.M. Stress intensity factors of a central slant crack with frictional surfaces in plates with biaxial loading. Int J Fatigue 129 (2004) 141-148
17. Tilbrook M.T., Reimanis I.E., Rozenburg K., and Hoffman M. Effects of plastic yielding on crack propagation near ductile/brittle interfaces. Acta Mater 53 (2005) 3935-3949
18. Wei Y., and Xu G. A multiscale model for the ductile fracture of crystalline materials. Int J Plast 21 (2005) 2123-2149
19. Brown E.N., Rae P.J., Orler E.B., Gray III G.T., and Dattelbaum D.M. The effect of crystallinity on the fracture of polytetrafluoroethylene (PTFE). Mater Sci Engng C 26 (2006) 1338-1343
20. Kim J., and Paulino G.H. On fracture criteria for mixed-mode crack propagation in functionally graded materials. Mech Adv Mater Struct 14 (2007) 227-244
21. Brown E.N., Rae P.J., and Liu C. Mixed-mode-I/II fracrture of polytetraflouroethylene. Mater Sci Engng A 468-470 (2007) 253-258
22. Carpinteri A., Brighenti R., Vantadori S., and Viappiani Z. Static crack extension prediction in aluminium alloy at low temperature. Engng Fract Mech 75 (2008) 510-525
23. Khan S.M.A., and Khraisheh M.K. Predicting mixed mode crack initiation angles in anisotropic materials using the shape of the crack tip core region. Fatigue Fract Damage Anal 443 2 (2002) 105-113 [ASME PVP]
24. Hill R. Mathematical theory of plasticity (1950), Oxford University Press, London
25. Irwin G.R. Fracture dynamics. Fracturing of metals (1948), American Society for Metals, Cleveland [147-166]
26. Orowan E. Fracture and strength of solids. Rep Progress Phys XII (1948) 185
27. Anderson T.L. Fracture mechanics: fundamentals and applications. 2nd ed. (1995), CRC Press
28. Zhang J.P., and Venugopalan D. Effects of notch radius and anisotropy on the crack tip plastic zone. Engng Fract Mech 26 6 (1987) 913-925
29. Potirniche G.P., Barlat F., Daniewicz S.R., Garratt M., and Bray G. The influence of aluminium alloy anisotropic texture on crack-tip plasticity. Fatigue Fract Engng Mater Struct 27 (2004) 1157-1169
30. Ye Z. Plastic zone characteristics of crack tip in anisotropic solids. Int J Fract 74 (1995) R3-R10