Using the local approach to evaluate scaling effects in ductile fracture

International Journal of Fracture

Volumn 92, Issue 2, 1998, Pages 101-117

  Giovanola, Jacques H ^a   Kirkpatrick, Steven W ^b  

^a EPFL   (Switzerland)

^b SRI INTERNATIONAL   (United States)

Author keywords

Crack; Ductile fracture; Geometrical scaling; Local fracture model; Notch; Shear deformation

Indexed keywords

BENDING (DEFORMATION); COMPUTER SIMULATION; CRACK PROPAGATION; DUCTILITY; ELASTOPLASTICITY; FRACTOGRAPHY; MATHEMATICAL MODELS; SHEAR DEFORMATION; STRESS ANALYSIS; STRESS CONCENTRATION; TENSILE STRESS;

DUCTILE FRACTURE; GEOMETRICAL SCALING;

FRACTURE MECHANICS;

EID: 0032636124     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1007573002363     Document Type: Article

References (47)

1. Anderson, T.L. (1991) Fracture Mechanics: Fundamentals and Applications, CRC Press, Boca Raton.
2. ASTM Standard E 1152-87 (1994). Standard test method for determining J-R curves, Annual Book of ASTM Standards, Section 3, Volume 03.01, American Society for Testing and Materials, Philadelphia.
3. Bammann, D.J., Chiesa, D.J., McDonald, M.L., Kawahara, W.A., Dike, J.J. and Revelli, V.D. (1990). Prediction of ductile fracture in metal structures. Failure Criteria and Analysis in Dynamic Response, AMD-Volume 107 American Society of Mechanical Engineers, New York.
4. Beremin, F.M., (1981a). Cavity formation from inclusions in ductile fracture of A508 steel. Metallurgical Transactions 12A 723-731.
5. Beremin, F.M. (1981b) Study of fracture criteria for ductile rupture of A508 steel. Proceedings of the 5th International Conference on Fracture, Advances in Fracture Research (Edited by D. François), Pergamon Press, Volume 2, 809-820.
6. Bilby, B.A., Howard, I.C. and Li, Z.H. (1994). Mesh independent cell models for continuum damage theory. Fatigue Fracture Engineering Material Structures 17, 1221-1233.
7. Bridgman, P.W. (1952) Studies in Large Flow and Fracture, McGraw-Hill, New York.
8. Brocks, W., Klingbeil, D., Künecke, G. and Sun, D.-Z. (1995). Application of the Gurson model to ductile tearing resistance. Constraint Effects in Fracture, Theory and Applications: Second Volume, ASTM STP 1244 (Edited by Mark Kirk and Ad Bakker), American Society for Testing and Materials, Philadelphia, 232-252.
9. Chaboche, J.L. et al. (1986) (eds) International Seminar on Local Approach of Fracture Electricité de France, 77250 Moret-Sur-Loing, France.
10. Curran, D.R., Seaman, L. and Shockey, D.A. (1987). Dynamic failure of solids. Physics Rep. 147, 253-388.
11. Devaux, J.C., Mudry, F., Pineau, A. and Rousselier, G. (1989). Experimental and numerical validation of a ductile fracture local criterion based on a simulation of cavity growth. Nonlinear Fracture Mechanics: Volume II - Elastic-Plastic Fracture, ASTM STP 995 (Edited by J.D. Landes, A. Saxena and J.G. Merkle), American Society for Testing and Materials, Philadelphia, 7-23.
12. Earl, J.C. and Brown, D.K. (1976). Distributions of stress and plastic strain in circumferentially notched tension specimens. Engineering Fracture Mechanics 8, 599-611.
13. European Structural Integrity Society, ESIS P6-94 D (1995). Draft procedure to measure and calculate local approach criteria using notched tensile specimens. Draft Document Version 3.0.
14. Giovanola, J.H. and Finnie, I. (1984). A review of the use of the J-integral as an elastic-plastic fracture parameter. Solid Mechanics Archives 9, 197.
15. Giovanola, J.H. and Kirkpatrick, S.W. (1992). Applying a simple ductile fracture model to fracture of welded T-joints. Advances in Local Fracture/Damage Models for the Analysis of Engineering Problems, AMD-Vol. 137 (Edited by J.H. Giovanola and A.J. Rosakis), American Society of Mechanical Engineers, New York, 285-303.
16. Giovanola, J.H. and Kirkpatrick, S.W. (1993). Methodology for evaluating strength and fracture resistance of weldments using a local approach to fracture. Pressure Vessel Integrity-1993, PVP-Volume 250 (Edited by W.E. Pennel, S. Bhandari, G. Yagawa), American Society of Mechanical Engineers, New York, 157-171.
17. Giovanola, J.H., Kirkpatrick, S.W. and Crocker, J.E. (1998). Fracture of geometrically Scaled, notched three-point-bend bars of high strength steel. Engineering Fracture Mechanics.
18. Gurson, A.L. (1977). Continuum theory of ductile rupture by void nucleation and growth - Part I: Yield criteria and flow rules for porous ductile materials. Journal of Engineering Materials Technology 2, 2-15.
19. Hallquist, J.O. and Whirley, R.G. (1989). DYNA3D User's Manual (Nonlinear Dynamic Analysis of Structures in Three Dimensions), Lawrence Livermore National Laboratory, Report UCID-19592, Revision 2.
20. Hancock, J. W. and Brown, D.K. (1983). On the role of strain and stress state in ductile failure. Journal of Mechanical Physics Solids 31, 1-24.
21. Hill, R. (1985). The Mathematical Theory of Plasticity, Clarendon Press, Oxford, England.
22. Kanninen, M.F. and Poplar, C.H. (1985). Advanced Fracture Mechanics, Oxford University Press, New York, Oxford.
23. Knott, F.F.: (1977). Micromechanisms of fracture and the fracture toughness of engineering alloys. Fracture 1977 1, 61-92.
24. Kumar, V., German, M.D. and Shih, C.F. (1981). An Engineering Approach for Elastic-Plastic Fracture Analysis General Electric Company Topical Report to Electric Power Research Institute, Research Project 1237-1, Schenectady, New York.
25. Link, R.E. (1996). U.S. Naval Academy, Annapolis, Maryland, private communication.
26. Mackenzie, A.C., Hancock, J.W. and Brown, D.K. (1977). On the influence of state of stress on ductile failure initiation in high strength steels. Engineering Fracture Mechanics 9, 167-188.
27. McClintock, F.A. (1968). A criterion for ductile fracture by the growth of holes. Journal Applied Mechanics 35, 363-371.
28. Mudry, F. (1985). Methodology and applications of local criteria for prediction of ductile tearing. Elastic-Plastic Fracture Mechanics (Edited by L.H. Larson), ECSC, EEC, EAEC, Brussels and Luxembourg, Belgium, 263-283.
29. Mudry, F., Di Fant, M., Fontaine, A. and Sainte Catherine, C. (1992). Development of local criteria in steels. Advances in Local Fracture/Damage Models for the Analysis of Engineering Problems, AMD-Vol. 137 (Edited by J.H. Giovanola and A.J. Rosakis), American Society of Mechanical Engineers, New York, 305-318.
30. Mudry, F., di Rienzo, F. and Pineau, A. (1989). Numerical comparison of global and local fracture criteria in compact tension and center-crack panel specimens. Nonlinear Fracture Mechanics: Volume II - Elastic Plastic Fracture, ASTM STP 995 (Edited by J.D. Landes, A. Saxena, and J.G. Merkle), American Society for Testing and Materials, Philadelphia, 24-39.
31. Needleman, A. and Tvergaard, V. (1984). An analysis of ductile rupture in notched bars. Journal of Mechanical Physics Solids 32, 461-490.
32. Needleman, A. and Tvergaard, (1994). Mesh effects in the analysis of dynamic ductile crack growth. Engineering Fracture Mechanics 47, 75-91.
33. Norris, D.M., Reaugh, J.E., Moran, B. and Quinones, D.F. (1978). A plastic-strain, mean-stress criterion for ductile fracture. Journal of Engineering Materials Technology 100, 270-286.
34. Otsuka, A., Tohgo, K. and Okamoto, Y. (1995). Relationship between ductile crack initiation and void volume fraction. Nuclear Engineering and Design 105, 121-129.
35. Pineau, A. (1990). Global and local approaches of fracture - Transferability of laboratory test results to components. Topics in Fracture and Fatigue (Edited by A.S. Argon), Springer Verlag, New York, 197-234.
36. Rice, J.R. A path-independent integral and the approximate analysis of strain concentration by notches and cracks. Journal Applied Mechanics 35, 379-386.
37. Rice, J.R. and Tracey, D.M. (1969). On the ductile enlargement of voids in triaxial stress fields. Journal of Mechanical Physics Solids 17, 201-217.
38. Ritchie, R.O., Francis, B. and Server, W.L. (1976). Evaluation of toughness in AISI 4340 alloy steel austenetized at low and high temperatures. Metallurgical Transition 7A, 831-838.
39. Rousselier, G. (1981). Finite deformation constitutive reactions including ductile fracture damage. Three-Dimensional Constitutive Relations and Ductile Fracture (Edited by S. Nemat-Nasser), North-Holland Publishing Company, New York, 331-355.
40. Rousselier, G., Devesa, G. and Bethmont, M. (1989). Effect of specimen geometry on J-resistance curves in near small-scale yielding conditions. Advances in Fracture Research, ICF7, Volume 1 (Edited by K. Salama, K. Ravi-Chandar, D.M.R. Taplin and P. Rama Rao), Pergamon Press, 249-258.
41. Rousselier, G., Devaux, J.-C., Mottet, G. and Devesa, G. (1989). A methodology for ductile fracture analysis based on damage mechanics: An illustration of a local approach of fracture. Nonlinear Fracture Mechanics: Volume II - Elastic-Plastic Fracture, ASTM STP 995 (Edited by J.D. Landes, A. Saxena and J.G. Merkle), American Society for Testing and Materials, Philadelphia, 332-354.
42. Shih, C.F. and Xia, L. (1995). Modeling crack growth resistance using computational cells with microstructurally-based length scales. Constraint Effects in Fracture, Theory and Applications: Second Volume, ASTM STP 1244 (Edited by Mark Kirk and Ad Bakker), American Society for Testing and Materials, Philadelphia, 163-190.
43. Sun, D.-Z. and Schmitt, W. (1990). Application of micromechanical models to the analysis of ductile fracture resistance behaviour. Numerical Methods in Fracture Mechanics Proceedings of the 5th International Conference held in Freiburg, Germany (Edited by A.R. Luxmore and D.R.J. Owen), 275-286.
44. Third Report of the Special ASTM Committee (1961). Fracture Testing of High-Strength Sheet Materials, Materials Research and Standards.
45. Tvergaard, V. (1990). Material failure by void growth to coalescence. Advances in Applied Mechanics 27, 83-151.
46. Tvergaard, V. and Needleman, A. (1992). Effect of crack meandering on dynamic ductile fracture. Journal of Mechanical Physics Solids 40, 447-471.
47. Wilshaw, T.R., Rau, C.A. and Tetelman, A.S. (1968). A general model to predict the elastic-plastic stress distribution and fracture strength of notched bars in plane strain bending. Engineering Fracture Mechanics 1, 191-211.