Non-quadratic yield criterion for orthotropic sheet metals under plane-stress conditions

International Journal of Mechanical Sciences

Volumn 45, Issue 5, 2003, Pages 797-811

  Banabic, D ^a,b   Kuwabara, T ^c   Balan, T ^d   Comsa, D S ^a   Julean, D ^a  

^a TECHNICAL UNIVERSITY OF CLUJ NAPOCA   (Romania)

^b UNIVERSITY OF STUTTGART   (Germany)

^c TOKYO UNIVERSITY OF AGRICULTURE AND TECHNOLOGY   (Japan)

^d UNIVERSITÉ PAUL VERLAINE METZ   (France)

Author keywords

Anisotropy; Non quadratic yield criterion; Sheet metals

Indexed keywords

ALUMINUM ALLOYS; ANISOTROPY; COMPUTER SIMULATION; PLASTICITY; STRESS ANALYSIS;

ORTHOTROPIC SHEET METALS;

SHEET METAL;

EID: 0141794449     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(03)00139-5     Document Type: Article

References (23)

1. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society. A193:1948;281-297.
2. Hill R. Theoretical plasticity of textured aggregates. Mathematical Proceedings of the Cambridge Philosophical Society. 85:1979;179-191.
3. Hill R. Constitutive modelling of orthotropic plasticity in sheet metals. Journal of the Mechanics and Physics of Solids. 38:1990;405-417.
4. Hill R. A user-friendly theory of orthotropic plasticity in sheet metals. International Journal of Mechanical Sciences. 15:1993;19-25.
5. Hosford W.F. A generalized isotropic yield criterion. Journal of Applied Mechanics. 39:1972;607-609.
6. Hosford WF. On yield loci of anisotropic cubic metals. In: Proceedings of the Seventh North American Metalworking Conference. Dearborn: SME; 1979. p. 191-7.
7. Barlat F., Lege D.J., Brem J.C. A six-component yield function for anisotropic materials. International Journal of Plasticity. 7:1991;693-712.
8. Karafillis A.P., Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. Journal of the Mechanics and Physics of Solids. 41:1993;1859-1886.
9. Barlat F, Banabic D, Cazacu O. Anisotropy in sheet metals. In: Proceedings of the NUMISHEET 2002 Conference. Jeju; 2002. p. 515-24.
10. Banabic D., Bunge H.J., Poehlandt K., Tekkaya A.E. Formability of metallic materials. 2000;Heidelberg, Springer, Berlin.
11. Barlat F, Cazacu O, Zyczkowski M, Banabic D, Yoon JW. Yield surface plasticity and anisotropy. In: Raabe D, Chen L-Q, Barlat F, Roters F, editors. Continuum scale simulation of engineering materials-fundamentals-microstructure-process applications. Berlin: Wiley-VCH; 2003.
12. Bassani J.L. Yield characterisation of metals with transversally isotropic plastic properties. International Journal of Mechanical Sciences. 19:1977;651-654.
13. Gotoh M. A theory of plastic anisotropy used on a yield function of fourth order. International Journal of Mechanical Sciences. 19:1977;505-520.
14. Barlat F., Richmond O. Prediction of tricomponent plane stress yield surfaces and associated flow and failure behaviour of strongly textured FCC polycrystalline sheets. Materials Science and Engineering. 91:1987;15-29.
15. Barlat F., Lian J. Plastic behaviour and stretchability of sheet metals. (Part I). A yield function for orthotropic sheet under plane stress conditions. International Journal of Plasticity. 5:1989;51-56.
16. Budiansky B. Anisotropic plasticity of plane-isotropic sheets. In: Dvorak GJ, Shield RT, editors. Mechanics of materials behaviour. Amsterdam: Elsevier; 1984. p. 15-29.
17. Barlat F., Becker R.C., Hayashida Y., Maeda Y., Yanagawa M., Chung K., Brem J.C., Lege D.J., Matsui K., Murtha S.J., Hattori S. Yielding description for solution strengthened aluminium alloys. International Journal of Plasticity. 13:1997;185-401.
18. Vegter D, Drent P, Huetink J. A planar isotropic yield criterion based on mechanical testing at multiaxial stress states. In: Proceedings of the NUMIFORM 1995 Conference. Ithaca; 1995. p. 354-60.
19. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical recipes in C. The art of scientific computing. 1992;Cambridge University Press, Cambridge.
20. 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. 80-81:1998;517-523.
21. Kuwabara T, Van Bael A. Measurement and analysis of yield locus of sheet aluminum alloy 6XXX. In: Gelin JC, editor. Proceedings of the Fourth International Conference and Workshop on Numerical Simulation of 3D Sheet Forming Processes. Besançon; 1999. p. 85-90.
22. Shiratori E., Ikegami K. Experimental study of the subsequent yield surface by using cross-shaped specimens. Journal of the Mechanics and Physics of Solids. 16:1968;373-394.
23. Kuwabara T., Kuroda M., Tvergaard V., Nomura K. Use of abrupt strain path change for determining subsequent yield surface. experimental study with metal sheets Acta Materialia. 48:2000;2071-2079.