Anisotropic yield criterion for polycrystalline metals using texture and crystal symmetries

International Journal of Solids and Structures

Volumn 36, Issue 35, 1999, Pages 5331-5355

  Maniatty, A M ^a   Yu, J S ^a   Keane, T ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CRYSTAL MICROSTRUCTURE; CRYSTAL SYMMETRY; CRYSTALLOGRAPHY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS;

ANISOTROPIC YIELD CRITERION; POLYCRYSTALLINE METALS;

POLYCRYSTALLINE MATERIALS;

EID: 0032647829     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00248-0     Document Type: Article

References (21)

1. Barlat, F., Richmond, O., 1987. Prediction of tricomponent plane stress yield surface and associated flow and failure behavior of strongly textured F.C.C. polycrystalline sheets. Mater. Sci. Eng. 95, 15-29.
2. Barlat, F., Lege, D.J., Brem, J.C., 1991. A six-component yield function for anisotropic materials. Int. J. Plasticity 7, 693-712.
3. Barlat, F., Maeda, Y., Chung, K., Yanagawa, M., Brem, J.C., Hayashida, Y., Lege, D.J., Matsui, K., Murtha, S.J., Hattori, S., Becker, R.C., Makosey, S., 1997. Yield function development for aluminum alloy sheets. J. Mech. Phys. Solids 45, 1727-1763.
4. Bishop, J.F.W., Hill, R., 1951a. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Phil. Mag. 42, 414-427.
5. Bishop, J.F.W., Hill, R., 1951b. A theoretical derivation of the plastic properties of a polycrystalline face-centered metal. Phil. Mag. 42, 1298-1307.
6. Gurtin, M.E., 1981. An Introduction to Continuum Mechanics. Academic Press, New York.
7. Harren, S.V., 1991. The finite deformation of rate dependent polycrystals - I. A self-consistent framework. J. Mech. Phys. Solids 39, 345-360.
8. Hill, R., 1950. The Mathematical Theory of Plasticity. Clarendon Press, Oxford.
9. Hill, R., 1965. Continuum micro-mechanics of elastoplastic polycrystals. J. Mech. Phys. Solids 13, 89-101.
10. Hosford, W.F., 1972. A generalized isotropic yield criterion. J. Appl. Mech. 39, 607-609.
11. Karafillis, A.P., Boyce, M.C., 1993. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41, 1859-1886.
12. Kocks, U.F., Canova, G.R., Jonas, J.J., 1983. Yield vectors in FCC crystals. Acta Metall. 31, 1243-1252.
13. Lequeu, P.H., Gilormini, P., Montheillet, F., Bacroix, B. and Jonas, J.J., 1987a. Yield surfaces for textured polycrystals - I: Crystallographic approach. Acta Metall. 35, 439-451.
14. Lequeu, P.H., Gilormini, P., Montheillet, F., Bacroix, B., Jonas, J.J., 1987b. Yield surfaces for textured polycrystals - II: Analytic approach. Acta Metall. 35, 1159-1174.
15. Lian, J., Barlat, F., Baudelet, B., 1989. Plastic behaviour and stretchability of sheet metals. Part II: Effect of yield surface shape on sheet forming limit. Int. J. Plasticity 5, 131-147.
16. Nemat-Nasser, S., Hori, M., 1993. Micromechanics: Overall Properties of Heterogeneous Materials, section. North-Holland, Amsterdam.
17. Nye, J.F., 1957. Physical Properties of Crystals; Their Representation by Tensors and Matrices. Oxford University Press, London.
18. Sachs, G., 1928. Zur Ableitung einer Fliessbedingung (on the derivation of a yield condition) . Ver. Dtsch. Ing. 72, 734-736.
19. Taylor, G.I., 1938. Plastic strains in metals. J. Inst. Metals 62, 307-324.
20. Taylor, G.I., Elam, C.F., 1925. The plastic extension and fracture of aluminum crystals. Proc. Roy. Soc. A 108, 28-51.
21. Viana, C.S., Da, C., Kallend, J.S., Davies, G.J., 1979. The use of texture data to predict the yield locus of metal sheets. Int. J. Mech. Sci. 21, 355-371.