Mode I fracture of sheet metal

Journal of the Mechanics and Physics of Solids

Volumn 52, Issue 2, 2004, Pages 423-452

  Pardoen, T ^a   Hachez, F ^a   Marchioni, B ^a   Blyth, P H ^b   Atkins, A G ^b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b UNIVERSITY OF READING   (United Kingdom)

Author keywords

A. crack tip plasticity; A. fracture mechanisms; A. fracture toughness; A. voids an inclusions; B. metallic material

Indexed keywords

ALUMINUM ALLOYS; CARBON STEEL; CRACK PROPAGATION; FRACTURE MECHANICS; FRACTURE TESTING; FRACTURE TOUGHNESS; HEAT TREATMENT; INCLUSIONS; PLASTICITY; POROSITY; STAINLESS STEEL; STRESSES; THERMODYNAMICS; VOLUME FRACTION; YIELD STRESS;

ADIABATIC HEATING; NECKING; THICKNESS EFFECTS;

STEEL SHEET;

EID: 0346154862     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(03)00087-5     Document Type: Article

References (45)

1. ABAQUS 5.8, 1997. User's Manual, Hibbit, Karlsson & Sorensen, Providence, RI, U.S.
2. Allen, F.C., 1971. Effect of thickness on the fracture toughness of 7075 aluminium in the T6 and T73 conditions, ASTM STP 486, American Society for Testing and Materials, Philadelphia, pp. 16-38.
3. Anderson T.L. Fracture Mechanics: Fundamentals and Applications. 1995;CRC Press, Boca Raton.
4. Ashby M.F. Work hardening of dispersion-hardened crystals. Phil. Mag. 14:1966;1157-1178.
5. Atkins A.G., Mai Y.-W. Elastic and Plastic Fracture - metals, polymers, ceramics, composites, biological materials. Ellis Horwood Limited. 1985;Wiley, Chichester.
6. Becker R., Smelser R.E., Richmond O., Appleby E.J. The effect of void shape on void growth and ductility in axisymmetric tension tests. Metall. Trans. A. 20:1989;853-861.
7. Benzerga, A.A., 2000. Rupture ductile de tôles minces. Ph.D. Thesis, Ecole des Mines de Paris.
8. Benzerga A.A., Besson J., Pineau A. Coalescence controlled anisotropic ductile fracture. J. Eng. Mater. Tech. 121:1999;221.
9. Blyth P.H., Atkins A.G. Stabbing of metal sheets by a triangular knife. An archeological investigation. Int. J. Impact Eng. 27:2001;459-473.
10. Broberg B.K. Cracks and Fracture. 1999;Academic Press, New York.
11. Broek, D., 1986. Elementary Fracture Mechanics, 4th edition, Nijhof, The Hague.
12. Budiansky B., Hutchinson J.W., Slutsky S. Void growth and collapse in viscous solids. Hopkins H.G., Sewell M.J. Mechanics of Solids, The Rodney Hill 60th Anniversary Volume. 1982;13-45 Pergamon Press, Oxford.
13. Cotterell, B., 1977. Plane stress ductile fracture. In: Sih, G.C., Chow, C.L. (Eds.), Fracture Mechanics and Technology, Vol. 2, Sijthoff and Noordhoff, Alphen aan den Rijn, pp. 785-795.
14. Cotterell B., Reddel J.K. The essential work of plane stress ductile fracture. Int. J. Fract. 13:1977;267-277.
15. Gologanu M., Leblond J.-B., Perrin G., Devaux J. Recent extensions of Gurson's model for porous ductile metals. Suquet P. Continuum Micromechanics. 1996;61 Springer, Berlin.
16. Hahn G.T., Rosenfield A.R. Local yielding and extension of a crack under plane stress. Acta Metall. 13:1965;293-306.
17. Hill R. On discontinuous plastic states, with special reference to localized necking in thin sheets. J. Mech. Phys. Solids. 1:1952;19-30.
18. Hosford W.F., Atkins A.G. On fracture toughness in tearing of sheet metal. J. Mater. Shap. Technol. 8:1990;107-110.
19. Hosford W.F., Caddell R.M. Metal Forming - Mechanics and Metallurgy. 1993;Prentice-Hall, Englewood Cliffs, NJ.
20. Irwin, G.R., Kies, J.A., Smith, H.L., 1958. Fracture strengths relative to onset and arrest of crack propagation, ASTM Transactions, Vol. 58, American Society for Testing and Materials, Philadelphia, pp. 640-660.
21. Jablokov V., Goto D.M., Koss D.A. Damage accumulation and failure of HY-100 steel. Metall. Mater. Trans. 32:2001;2985-2994.
22. Kamp N., Sinclair I., Starink M.J. Toughness-strength relations in the overaged 7449 Al-based alloy. Metall. Mater. Trans. A. 33:2002;1125-1136.
23. Knott J.F. Fundamentals of Fracture Mechanics. 1973;Butterworths, London.
24. Krafft J.M., Sullivan A.M., Boyle R.W. Effect of dimensions on fast fracture instability of notched sheets. Symposium on Crack Propagation. 1961;College of Aeronautics, Cranfield.
25. Lee B.J., Mear M.E. Axisymmetric deformations of power-law solids containing a dilute concentration of aligned spheroidal voids. J. Mech. Phys. Solids. 40:1992;1805-1836.
26. Li W., Siegmund T. An analysis of crack growth in thin-sheet metal via cohesive zone model. Eng. Fract. Mech. 69:2002;2073-2093.
27. Mai Y.W. On the plane-stress essential fracture work in plastic failure of ductile materials. Int. Mech. Sci. 35:1993;995-1005.
28. Mai Y.W., Powell P. Essential work of fracture and J-integral measurements for ductile polymers. J. Polymer Sci. B. 29:1991;785-793.
29. Marchal Y., Delannay F. Influence of test parameters on the measurement of the essential work of fracture of zinc sheets. Int. J. Fract. 80:1996;295-310.
30. Marchal Y., Walhin J.F., Delannay F. Statistical procedure for improving the precision of the measurement of the essential work of fracture of thin sheets. Int. J. Fract. 87:1998;189-199.
31. Mathur K.K., Needleman A., Tvergaard V. Three dimensional analysis of dynamic ductile crack growth in a thin plate. J. Mech. Phys. Solids. 44:1996;439-464.
32. Onat E.T., Prager W. Necking of a tensile specimen in plane strain flow. J. Appl. Phys. 25:1954;491-493.
33. Pardoen T., Hutchinson J.W. An extended model for void growth and coalescence. J. Mech. Phys. Solids. 48:2000;2467-2512.
34. Pardoen T., Hutchinson J.W. Micromechanics-based model for trends in toughness of ductile metals. Acta Mater. 51:2003;133-148.
35. Pardoen T., Doghri I., Delannay F. Experimental and numerical comparison of void growth models and coalescence criteria for the prediction of ductile fracture in copper bars. Acta Mater. 46:1998;541-552.
36. Pardoen T., Marchal Y., Delannay F. Thickness dependence of cracking initiation criteria in thin aluminum plates. J. Mech. Phys. Solids. 47:1999;2093-2123.
37. Pardoen T., Marchal Y., Delannay F. Essential work of fracture versus fracture mechanics - towards a thickness independent plane stress toughness. Eng. Fract. Mech. 69:2002;617-631.
38. Rice J.R., Johnson M.A. The role of large crack tip geometry changes in plane strain fracture. Kanninen M.F., Adler W.G., Rosenfield A.R., Jaffee R.I. Inelastic Behavior of Solids. 1970;641-672 McGraw-Hill, New York.
39. Rivalin F., Besson J., Pineau A., Di Fant M. Ductile tearing of pipeline-steel wide plates II. Dynamic and quasi-static experiments. Eng. Fract. Mech. 68:2001;329-345.
40. Rivalin F., Besson J., Pineau A., Di Fant M. Ductile tearing of pipeline-steel wide plates II. Modeling of in-plane crack propagation. Eng. Fract. Mech. 68:2001;347-364.
41. Shih C.F. Table of HRR singular field quantities. MRL E-147, Division of Engineering. 1983;Brown University, Providence, RI.
42. Siegmund T., Brocks W. Prediction of the work of separation and implications to modeling. Int. J. Fract. 99:1999;97-116.
43. Simo J.C., Hughes T.J.R. Computational Inelasticity. 1998;Springer, New York.
44. Thomason P.F. Ductile Fracture of Metals. 1990;Pergamon Press, Oxford.
45. Tvergaard V., Hutchinson J.W. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J. Mech. Phys. Solids. 40:1992;1377-1397.