A directional crack path criterion for crack growth in ductile materials subjected to shear and compressive loading under plane strain conditions

International Journal of Solids and Structures

Volumn 40, Issue 13-14, 2003, Pages 3523-3536

  Isaksson, P ^a   Stahle P ^a  

^a MALMÖ UNIVERSITY   (Sweden)

Author keywords

Crack growth; Elastic plastic material; Hydrostatic pressure; Shear load

Indexed keywords

CRACK PROPAGATION; DUCTILITY; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; SURFACE PROPERTIES;

DIRECTIONAL CRACK GROWTH;

PLASTICS;

CRACK; HYDROSTATIC PRESSURE; LOADING;

EID: 0038320367     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00116-1     Document Type: Article

References (37)

1. ADINA, 1995. Theory and Modelling Guide, ADINA R-D Inc., Watertown, MA, USA
2. Arun Roy Y. Narasimhan R. J-dominance in mixed-mode ductile fracture specimens Int. J. Fract. 88 1997 259 279
3. Arun Roy Y. Narasimhan R. Arora P.R. An experimental investigation of constraint effects on mixed mode fracture initiation in a ductile aluminum alloy Acta Mater. 47 1999 1587 1596
4. Ayatollahi M.R. Smith D.J. Pavier M.J. Crack-tip constraint in mode II deformation Int. J. Fract. 113 2002 153 173
5. Bilby B.A. Cardew G.E. The crack with a kinked tip Int. J. Fract. 11 1975 708 712
6. Broberg K.B. On crack paths Engng. Fract. Mech. 28 1987 663 679
7. Broberg K.B. Cracks and Fracture 1999 Academic Press London, UK
8. Cotterell B. Rice J.R. Slightly curved or kinked cracks Int. J. Fract. 16 1980 155 169
9. Dhirendra V.K. Narasimhan R. Mixed-mode steady-state crack growth in elastic-plastic solids Engng. Frac. Mech. 59 1998 543 559
10. Erdogan F. Sih G.C. On the crack extension in plates under plane loading and transverse shear J. Basic Engng. 85 1963 519 525
11. Ghonem H. Kalousek J. Study of surface crack initiation due to biaxial compression/shear loading Engng. Fract. Mech. 30 1988 667 683
12. Hallbäck N. Mixed mode I/II fracture behaviour of a high strength steel Int. J. Fract. 87 1998 363 388
13. Hayashi K. Nemat-Nasser S. On branched, interface cracks ASME J. Appl. Mech. 48 1981 529 533
14. Hearle A.D. Johnson K.L. Mode II stress intensity factors for a crack parallel to the surface of an elastic half-space subjected to a moving point load J. Mech. Phys. Solids 33 1985 61 81
15. Hill R. The Mathematical Theory of Plasticity 1950 Clarendon Press Oxford, UK
16. Hutchinson J.W. Plastic stress and strain fields at a crack-tip J. Mech. Phys. Sol. 16 1968 337 347
17. Isaksson P. Ståhle P. Crack kinking under high pressure in an elastic-plastic material Int. J. Fract. 108 2001 351 366
18. Isaksson P. Ståhle P. Prediction of shear crack growth direction under compressive loading and plane strain conditions Int. J. Fract. 113 2002 175 194
19. Isaksson P. Ståhle P. Mode II crack paths under compression in brittle solids--a theory and experimental comparison Int. J. Solids Struct. 39 2002 2281 2297
20. Ishida M. Abe N. Experimental study on rolling contact fatigue from the aspect of residual stress Wear 191 1996 65 71
21. Jayaraman S. Sadeghipour K. Baran G. Finite element analysis of horizontal and branched subsurface cracks in brittle materials Wear 208 1997 237 242
22. Komvopoulos K. Cho S.-S. Finite element analysis of subsurface crack propagation in a half-space due to a moving asperity contact Wear 209 1997 57 68
23. Li J. Hancock W. Mode I and mixed-mode fields with incomplete crack-tip plasticity Int. J. Solids Struct. 36 1999 711 725
24. Liu A.F. Crack growth failure of aluminum plate under in-plane shear AIAA J. 12 1974 180 185
25. Melin S. When does a crack grow under mode II conditions? Int. J. Fract. 30 1986 103 114
26. Melin S. Fracture from a straight crack subjected to mixed-mode loading Int. J. Fract. 32 1987 257 263
27. O'Dowd N.P. Shih C.F. A family of crack-tip fields characterized by a triaxiality parameter-II. Fracture applications J. Mech. Phys. Solids 39 1991 989 1015
28. Otsuka A., Aoyama M., 1993. Mode II fatigue under a compressive stress field: a simplified model for rolling contact fatigue. In: Rossmanith H.P., Miller K.J. (Eds.), Mixed-Mode Fatigue and Fracture ESIS 14, Mechanical Engineering, London, pp. 49-60
29. Otsuka A. Tohgo K. Kiba T. Yamada S. Mode II fatigue crack growth characteristics and mechanism in aluminum alloy 7N01-T4 weldments under mode II loading Valluri Advances in Fracture Research ICF6 1984 1671 1678 Pergamon Press London
30. 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
31. Rice J.R. Rosengren G.F. Plain strain deformation near a crack-tip in a power-law hardening material J. Mech. Phys. Sol. 16 1968 1 12
32. Shih C.F. Small scale yielding analysis of mixed-mode plane strain crack problems Fracture Analysis STP 560 1974 187-210 ASTM Philadelphia, USA
33. Shih C.F. Relationship between the J-integral and the crack opening displacement for stationary and extending cracks J. Mech. Phys. Sol. 29 1981 305 326
34. Sih G.C. Strain-energy-density factor applied to mixed-mode crack problems Int. J. Fract. 10 1974 305 321
35. Williams M.L. On the stress distribution at the base of a stationary crack J. Appl. Mech. 24 1957 109 114
36. Wong S.L. Bold P.E. Brown M.W. Allen R.J. A branch criterion for shallow angled rolling contact fatigue cracks in rails Wear 191 1996 45 53
37. Zywicz E. Parks D.M. Elastic-plastic analysis of frictionless contact at interfacial crack-tips Int. J. Fract. 42 1990 129 143