Effects of plastic anisotropy on crack-tip behaviour

International Journal of Fracture

Volumn 117, Issue 4, 2002, Pages 297-312

  Legarth, Brian Nyvang ^a   Tvergaard, Viggo ^a   Kuroda, Mitsutoshi ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b YAMAGATA UNIVERSITY   (Japan)

Author keywords

Crack tip blunting; Finite strain; Plastic anisotropy

Indexed keywords

ANISOTROPY; PLASTICITY; STRAIN; STRESSES; YIELD STRESS;

NEAR-TIP STRESSES;

CRACK PROPAGATION;

CRACK TIP;

EID: 0036822264     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022240600495     Document Type: Article

References (24)

1. Dafalias, Y. F. (1985a) A missing link in the macroscopic constitutive formulation of large plastic deformation. Plasticity Today, Modelling, Methods and Applications, pp. 135-151.
2. Dafalias, Y. F. (1985b) The plastic spin. Journal of Applied Mechanics 52, 865-871.
3. Eshelby, J. D. (1970) Energy relations and the energy-momentum tensor in continuum mechanics. Inelastic Behavior of Solids pp. 77-115.
4. Hill, R. (1948) A theory of the yielding and plastic flow anisotropic metals. Proceedings of the Royal Society of London, 193A. 281-297.
5. Hill, R. (1950) The Mathematical Theory of Plasticity. The Clarendon Press. Oxford.
6. Hosford, W. F. (1993) The mechanics of crystals and textured polycrystals. Oxford University Press, Oxford.
7. Hutchinson, J. W. (1968) Singular behaviour at the end of a tensile crack in a hardening material. Journal of the Mechanics and Physics of Solids. 16, 13-31.
8. Kuroda, M. (1995) Plastic spin associated with corner theory of plasticity. International Journal of Plasticity. 11, 547-570.
9. Kuroda, M. (1996) Roles of plastic spin in shear banding. International Journal of Plasticity, 12, 671-693.
10. Kuroda, M. (1997) Interpretation of the behavior of metals under large plastic shear deformation: A macroscopic approach. International Journal of Plasticity, pp. 359-383.
11. Kuroda, M. and Tvergaard, V. (2000) Forming limit diagrams for anisotropic metal sheets with different yield criteria. International Journal of Solids and Structures, pp. 5037-5059.
12. McMeeking, R. M. (1977) Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture. Journal of the Mechanics and Physics of Solids, pp. 357-381.
13. McMeeking, R. M. and Parks, D. (1979) On criteria for J-dominance of crack-tip fields in large scale yielding. Elastic-Plastic Fracture, ASTM STP 668, pp. 175-194.
14. McMeeking, R. M. and Rice, J. R. (1974) Finite-element formulations for problems of large elastic-plastic deformation. International Journal of Solids and Structures. pp. 601-616.
15. Moen, L. A., Langseth, M. and Hopperstad, O. (1998) Elastoplastic buckling of anisotropic aluminum, plate elements. Journal of Structural Engineering, pp. 712-719.
16. Needleman, A. and Tvergaard, V. (1983) Crack-tip stress and deformation fields in a solid with vertex on its yield surface. Elastic-Plastic Fracture: Second Symposium, Volume I - Inelastic Crack Analysis. ASTM STP 803, pp. 181-1115.
17. Needleman, A. and Tvergaard, V. (1987) An analysis of ductile rupture modes at a crack tip. Journal of the Mechanics and Physics of Solids, 35, 151-183.
18. Peirce, D., Shih, C. F. and Needleman, A. (1984) A tangent modulus method for rate dependent solids. Computers and Structures, pp. 875-887.
19. Rice, J. R. (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics. 35, 379-386.
20. Rice, J. R. and Johnson, M. A. (1970) The role of large crack tip geometry changes in plane strain fracture. Inelastic Behavior of Solids, pp. 641-672.
21. Rice, J. R. and Rosengren, G. F. (1968) Plane strain deformation near a crack-tip in a power-law hardening material. Journal of the Mechanics and Physics of Solids. 16, 1-12.
22. Shih, C. F. (1981) Relationships between the J-integral and the crack opening displacement for stationary and extending cracks. Journal of the Mechanics and Physics of Solids. 29, 305-326.
23. Yamada, Y. and Hirakawa, H. (1978) Large deformation and instability analysis in metal forming process. Applications of Numerical Methods to Forming Processes, ASME, AMD, 28, 27-38.
24. Yamada, Y. and Sasaki, M. (1994) Elastic-plastic large deformation analysis program and lamina compression test. International Journal of Mechanics pp. 691-707.