Prediction of forming limits for anisotropic sheets containing prolate ellipsoidal voids

International Journal of Mechanical Sciences

Volumn 45, Issue 10, 2003, Pages 1625-1643

  Son, Hyun Sung ^a   Kim, Young Suk ^a  

^a Kyungpook National University   (South Korea)

Author keywords

Forming limit diagrams; Marciniak and Kuczynski model; Prolate ellipsoidal void

Indexed keywords

ANISOTROPY; COMPUTATIONAL METHODS; DEFORMATION; MATHEMATICAL MODELS; MICROCRACKS; NUCLEATION; OPTIMIZATION; PLASTIC FLOW; PLASTICITY; POROUS MATERIALS; SHEET METAL; STRAIN;

FORMING LIMIT DIAGRAMS (FLD); MARCINIAK AND KUCZYNSKI MODEL; PROLATE ELLIPSOIDAL VOIDS;

METAL FORMING;

EID: 1342326229     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2003.10.011     Document Type: Conference Paper

References (44)

1. Marciniak Z., Kuczynski K. Limit strains in the process of stretch-forming sheet metal. International Journal of Mechanical Sciences. 9:1967;609-620.
2. Stören S., Rice J.R. Localized necking in thin sheets. Journal of the Mechanics and Physics of Solids. 23:1975;421-441.
3. Kleemola H.J., Pelkkikangas M.T. Effect of predeformation and strain path on the forming limits of steel, copper and brass. Sheet Metal Industries. 54:1977;591-599.
4. Zhao L., Sowerby R., Sklad M.P. A theoretical and experimental investigation of limit strains in sheet metal forming. International Journal of Mechanical Sciences. 38(12):1996;1307-1317.
5. Vacher P., Arrieux R., Tabourot L. Analysis of a criterion of deep drawing operation capability for thin orthotropic sheets. Journal of Materials Processing Technology. 78:1998;190-197.
6. Choi W., Gillis P.P., Jones S.E. Calculation of the forming limit diagram. Metallurgical Transactions A. 20:1989;1975-1987.
7. Pishbin H., Gillis P.P. Forming limit diagrams calculated using Hill's nonquadratic yield criterion. Metallurgical Transactions A. 23:1992;2817-2831.
8. Jalinier J. Endommagement, instabilitie plastique et courbes limites de formage. Docteur-Ingenieur Thesis, L'institut National Polytechnique de Lorraine, 1978 [in French].
9. Parmer A., Mellor P.B. Prediction of limit strains in sheet metal using a more general yield criterion. International Journal of Mechanical Sciences. 20:1978;385-391.
10. Gronostajski J., Zimniak Z. Prediction of forming limit diagrams with experimentally determined heterogeneity of anisotropic sheets. Journal of Materials Processing Technology. 32(1-2):1992;263-270.
11. Gurson A.L. Continuum theory of ductile rupture by void-nucleation and growth. Part I. Yield criteria and flow rules for porous ductile media Journal of Engineering Materials and Technology, Transactions of the ASME. 99:1977;2-15.
12. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. International Journal of Fracture. 17:1981;389-407.
13. Tvergaard V. On localization in ductile materials containing voids. International Journal of Fracture. 18:1982;237-251.
14. Needleman A., Tvergaard V. An analysis of ductile rupture in notched bars. Journal of the Mechanics and Physics of Solids. 32(6):1984;461-490.
15. Ragab A.R., Bayoumi S.E. Engineering solid mechanics: fundamentals and applications. 1999;CRC Press LLC, Boca Raton, FL.
16. Kim Y.S., Won S.Y., Kim D.S., Son H.S. Approximate yield criterion for voided anisotropic ductile materials. KSME International Journal. 15(11):2001;1349-1355.
17. Kim Y.S., Won S.Y., Na K.H. Effect of material damage on forming limits of voided anisotropic sheet metals. Metallurgical and Materials Transactions A. 34:2003;1283-1289.
18. Kim Y.S., Son H.S., Yang S.H., Lee S.R. Prediction of forming limits for voided anisotropic sheets using strain gradient dependent yield criterion. Key Engineering Materials. 233-236:2003;395-400.
19. Liao C., Pan J., Tang S.C. Approximate yield criteria for anisotropic porous ductile sheet metals. Mechanics of Materials. 26(4):1997;213-226.
20. Chen B., Wu P.D., Xia Z.C., MacEwen S.R., Tang S.C., Huang Y. A dilatational plasticity theory for aluminum sheets. Chuang T.-J., Rudnicki J.W. Multiscale deformation and fracture in materials and structures. 2000;17-30 Kluwer Academic Publishers, Dordrecht.
21. Barlat F., Lege D.J., Brem J.C. A six-component yield function for anisotropic materials. International Journal of Plasticity. 7:1991;693-712.
22. Becker R., Smelser R.E., Richmond O., Appleby E.J. The effect of void shape on void growth and ductility in axisymmetric tension tests. Metallurgical Transactions A. 20:1989;853-861.
23. Becker R., Smelser R.E., Richmond O. The effect of void shape on the development of damage and fracture in plane-strain tension. Journal of the Mechanics and Physics of Solids. 37(1):1989;111-129.
24. Lee B.J., Mear M.E. Axisymmetric deformation of power-law solids containing a dilute concentration of aligned spheroidal voids. Journal of the Mechanics and Physics of Solids. 40:1992;1805-1836.
25. Gologanu M., Leblond J.B., Devaux J. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities. Journal of the Mechanics and Physics of Solids. 41(11):1993;1723-1754.
26. Pardoen T., Hutchinson J.W. An extended model for void growth and coalescence. Journal of the Mechanics and Physics of Solids. 48:2000;2467-2512.
27. Brunet M, Morestin F, Walter H. A unified failure criterion in sheet metal forming processes using damage theory. Numisheet, Jeju Island, Korea, October 2002. p. 561-6.
28. Barlat F., Lian J. Plastic behavior and stretchability of sheet metals. part I. A yield function for orthotropic sheets under plane stress conditions International Journal of Plasticity. 5:1989;51-66.
29. Shi M.F., Gerdeen J.C. Effect of strain gradient and curvature on forming limit diagrams for anisotropic sheets. Journal of Materials Shaping Technology. 9:1991;253-268.
30. Ragab A.R., Saleh Ch.A.R. Evaluation of constitutive models for voided solids. International Journal of Plasticity. 15:1999;1041-1065.
31. Needleman A., Triantafyllidis N. Void growth and local necking in biaxially stretched sheets. Journal of Engineering Materials and Technology, Transactions of the ASME. 100:1978;164-169.
32. Hu J., Jonas J.J., Zhou Y., Ishikawa T. Influence of damage and texture evolution on limit strain in biaxially stretched aluminum alloy sheets. Materials Science and Engineering. 251(1-2):1998;243-250.
33. Barata Da Rocha A. Theoretical forming limit diagrams of anisotropic sheet. In: Wagoner RH, Chan KS, Keeler SP, editors. Forming limit diagrams: concepts, methods, and applications. Warrendale, Pennsylvania; TMS Press; 1989. p. 183-202.
34. Kuwabara T., Ikeda S., Kuroda K. Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension. Journal of Materials Processing Technology. 80-81(1-3):1998;517-523.
35. Luo Z.J., Ji W.H., Guo N.C., Xu X.Y., Xu Q.S., Zhang Y.Y. A ductile-damage model and its application to metal-forming processes. Journal of Materials Processing Technology. 30(1):1992;31-43.
36. Parmar A., Mellor P.B. Growth of voids in biaxial stress fields. International Journal of Mechanical Sciences. 22:1980;133-150.
37. Graf A., Hosford W.F. Calculations of forming limit diagrams. Metallurgical Transactions A. 21:1990;87-94.
38. Narasimhan K., Wagoner R.H. Finite element modeling simulation on in-plane forming limit diagrams of sheets containing finite defects. Metallurgical Transactions A. 22:1991;2655-2665.
39. Spitzig W.A. Effect of various sulfide stringer populations on the ductility of hot-rolled C-Mn steels. Acta metallurgica. 33(2):1985;175-184.
40. Azrin M., Backofen W.A. The deformation and failure of biaxially stretched steel. Metallurgical Transactions A. 1:1970;2857-2865.
41. Son H.S., Kim Y.S. Strain path dependence of forming limits predicted by barlat and lian's non-quadratic anisotropic yield criterion for sheet materials. KSME International Journal. 15(2):2001;210-216.
42. Ragab A.R., Saleh Ch.A.R. Effect of void growth on predicting forming limit strains for planar isotropic sheet metals. Mechanics of Materials. 32:2000;71-84.
43. Tadros K., Mellor P.B. An experimental study of the in-plane stretching of sheet metal. International Journal of Mechanical Sciences. 20:1977;121-134.
44. Nam J.B., Park K.C., Jeong K.J. Determination of forming limit curves of steel sheets with considering the effect of strain-path changes. Journal of the Korean Society for Technology of Plasticity. 6(1):1997;36-45.