Abstract
The near crack tip porosity fields in different fracture specimens, single edge notched, single edge notched loaded in centre of ligament, three point bending specimens, and small scale yielding (SSY) mode have been studied by the finite deformation finite element method. The presence and subsequent growth of smaller-scale voids were taken into account by using Gurson's model to describe the constitutive behaviour of the material. Based on damage equivalence at a characteristic position in the SSY mode and actual fracture specimens, the ratio of scaling parameters,J values, in both modes was obtained, and was used to eliminate the geometry dependence of fracture toughness through correlations to the small scale yielding mode.
Similar content being viewed by others
References
J. R. Rice,J. Appl. Mech. 35 (1968) 379.
A. M. Al-Ani andJ. W. Hancock,J. Mech. Phys. Solids 39 (1991) 23.
N. P. O'Dowd andC. F. Shih,ibid. 39 (1991) 989.
Idem., ibid. 40 (1991) 939.
C. Betegon andJ. W. Hancock,J. Appl. Mech. 40 (1991) 104.
R. H. Dodds andC. F. Shih, in “Proceedings of the IAEA/CSNI Specialists' Meeting on Fracture Mechanics Verification by Large Scale Testing”, Tennessee, 26–29 October (1992).
Y. C. Li andT. C. Wang,Scientia Sinica 29A (1986) 941.
M. F. Ashby, in “Fracture Mechanics, Current Status, Future Prospects” (Pergamon Press, 1979) p. 1.
C. D. Beachem,Trans. ASM. 56 (1963) 318.
C. D. Beachem andG. R. Yoder,Metall. Trans. 4 (1973) 1145.
K-H. Schwalbe,Engng. Fracture Mech. 9 (1977) 795.
G. E. Pellissier,ibid. 1 (1968) 55.
G. Green andJ. F. Knott,J. Engng Mater. Technol. 75 (1976) 37.
T. B. Cox andJ. R. Low,Metall. Trans. 5 (1974) 1457.
S. H. Goods andL. M. Brown,Acta Metall. 27 (1979) 1.
R. O. Ritchie, J. F. Knott andJ. R. Rice,J. Mech. Phys. Solids 21 (1973) 395.
A. Jagota, C. H. Hui andP. R. Dawson,Int. J. Fracture 33 (1987) 111.
R. H. Dodds, T. L. Anderson andM. T. Kirk,ibid. 48 (1991) 1.
T. L. Anderson andR. H. Dodds,J. Test. Eval. 19 (1991) 123.
J. R. Rice andM. A. Johnson, in “Inelastic Behaviour of Solids”, edited by M. F. Kanninen, W. Adler, A. Rosenfield and R. Jaffee (McGraw-Hill, 1970) 641.
J. R. Rice andD. M. Tracey,J. Mech. Phys. Solids 17 (1969) 201.
A. Aoki, K. Kishimoto, A. Takeya andM. Sakata,Int. J. Fracture 24 (1984) 267.
N. Aravas andR. M. McMeeking,ibid. 29 (1985) 21.
Idem, J. Mech. Phys. Solids 33 (1985) 25.
A. L. Gurson,J. Engng Mater. Technol. 77 (1977) 2.
V. Tvergaard,J. Mech. Phys. Solids 30 (1982) 399.
V. Tvergaard andA. Needleman,Acta Metall,32 (1984) 157.
A. Needleman andV. Tvergaard,J. Mech. Phys. Solids 35 (1987) 151.
F. Ma andZ. B. Kuang,Acta Metall. Mater. 42 (1994) 497.
J. W. Hancock andCowling,Metal Sci. 14 (1980) 293.
C. C. Chu andA. Needleman,J. Engng Mater. Technol. 102 (1980) 249.
R. Hill “The Mathematical Theory of Plasticity” (Oxford University Press, 1950).
F. Ma andZ-B. Kuang, in “Proceeding of the Joint FEFG/ICF”, edited by S. H. Teoh and K. H. Lee (Singapore, 1991) p. 450.
Z. B. Kuang,Engng Fracture Mech. 19 (1984) 1161.
V. Tvergaard,Int. J. Solids Struct. 18 (1982) 657.
C. F. Shih,J. Mech. Phys. Solids 29 (1981) 305.
J. F. Knott, in “Conference Proceedings, Micromechanisms of Crack Extension”, edited by J. F. Knott (1980).
G. Leroy, J. D. Embury, G. Edwards andM. F. Ashby,Acta Metall. 29 (1981) 1509.
Author information
Authors and Affiliations
Additional information
On leave, Department of Mechanical and Intelligent Systems Engineering, Tokyo Institute of Technology, Tokyo, Japan.
Rights and permissions
About this article
Cite this article
Ma, F. Correlation of geometry effects with fracture toughness by damage equivalence. J Mater Sci 30, 2330–2337 (1995). https://doi.org/10.1007/BF01184582
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01184582