Orthotropic strain rate potential for the description of anisotropy in tension and compression of metals

International Journal of Plasticity

Volumn 26, Issue 6, 2010, Pages 887-904

  Cazacu, Oana ^a   Ionescu, Ioan R ^b   Yoon, Jeong Whan ^c  

^a UNIVERSITY OF FLORIDA   (United States)

^b UNIVERSITÉ PARIS 13   (France)

^c ALCOA TECHNICAL CENTER   (United States)

Author keywords

Hexagonal closed packed metals; Plastic anisotropy; Strain rate potential; Tension compression asymmetry

Indexed keywords

ANISOTROPIC STRAIN; ANISOTROPIC STRESS; HEXAGONAL CLOSED PACKED METALS; HIGH-PURITY; PLASTIC ANISOTROPY; PLASTIC RESPONSE; STRAIN RATE POTENTIALS; TENSION AND COMPRESSION; TENSION-COMPRESSION ASYMMETRY;

ANISOTROPY; METALS; PLASTICS; STRESS CORROSION CRACKING; TITANIUM;

STRAIN RATE;

EID: 77950368249     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2009.11.005     Document Type: Article

References (38)

1. Arminjon M., Imbault D., Bacroix B., and Raphanel J.L. A fourth-order plastic potential for anisotropic metals and its analytical calculation from the texture function. Acta Mech. 107 (1994) 33-51
2. Bacroix B., and Gilormini P. Finite-element simulations of earing in polycrystalline materials using a texture adjusted strain-rate potential. Model. Simul. Mater. Sci. Eng. 3 (1995) 1-21
3. Barlat F., and Chung K. Anisotropic potentials for plastically deformation metals. Modell. Simul. Mater. Sci. Eng. 1 (1993) 403-416
4. Barlat F., Lege D.J., and Brem J.C. A six-component yield function for anisotropic materials. Int. J. Plast. 7 (1991) 693-712
5. Barlat F., Chung K., and Richmond O. Strain rate potential for metals and its application to minimum plastic work path calculations. Int. J. Plast. 9 (1993) 51-63
6. Cazacu O., and Barlat F. Application of representation theory to describe yielding of anisotropic aluminum alloys. Int. J. Engng. Sci. 41 (2003) 1367-1385
7. Cazacu O., and Barlat F. A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. Int. J. Plast. 20 (2004) 2027-2045
8. Cazacu O., and Barlat F. Modeling plastic anisotropy and strength differential effects in metallic materials. In: Cazacu O. (Ed). Multiscale Modeling Of Heterogeneous Materials: From Microstructure to Macroscale Properties (2008), ISTE Ltd. and John Wiley & Sons, Inc. 71-91
9. Cazacu O., Plunkett B., and Barlat F. Orthotropic yield criterion for hexagonal closed packed metals. Int. J. Plast. 22 (2006) 1171-1194
10. Chung K., and Richmond O. A deformation theory of plasticity based on minimum work paths. Int. J. Plast. 9 (1993) 907-920
11. Chung K., Yoon J.W., and Richmond O. Ideal sheet forming with frictional constraints. Int. J. Plast. 16 (2000) 595-610
12. Graff S., Brocks W., and Steglich D. Yielding of magnesium: from single crystal to polycrystalline aggregates. Int. J. Plast. 23 (2007) 1957-1978
13. Hill R. A theory of yielding and plastic flow of anisotropic metals. Proc. R. Soc. Lond. A 193 (1948) 281-297
14. Hill R. Theoretical plasticity of textured aggregates. Math. Proc. Cambr. Phil. Soc. 85 (1979) 179-191
15. Hill R. Constitutive dual potentials in classical plasticity. J. Mech. Phys. Solids 35 (1987) 23-33
16. Hiwatashi S., Van Bael A., Van Houtte P., and Teodosiu C. Modelling of plastic anisotropy based on texture and dislocation structure. Comput. Mater. Sci. 9 (1997) 274-284
17. Hosford W.F., and Allen T.J. Twining and directional slip as a cause for strength differential effect. Met. Trans. 4 (1973) 1424-1425
18. Hu J.G., Jonas J.J., and Ishikawa T. FEM simulation of the forming of textured aluminum sheets. Mater. Sci. Eng. A 256 (1998) 51
19. Karafillis A.P., and Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41 (1993) 1859-1886
20. Khan A.S., Kazmi R., and Farroch B. Multiaxial and non-proportional loading responses, anisotropy and modeling of Ti-6Al-4V titanium alloy over wide ranges of strain rates and temperatures. Int. J. Plast. 23 (2007) 931-950
21. Khan A.S., Kazmi R., Pandey A., and Stoughton T. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part I: A very low work hardening aluminum alloy (Al6061-T6511). Int. J. Plast. 25 (2009) 1611-1625
22. Kim, D., Chung, K., Barlat, F., Youn, J.R., Kang, T.J., 2003, Non-quadratic plane-stress anisotropic strain-rate potential. In: Proceedings of the International Symposium on Microstructures and Mechanical Properties of New Engineering Materials (IMMM 2003), Wuhan, China, October 6th 2003, pp. 46-51.
23. Kim D., Barlat F., Bouvier S., Raballah M., Balan T., and Chung K. Non-quadratic anisotropic potentials based on linear transformation of plastic strain rate. Int. J. Plast. 23 (2007) 1380-1399
24. Kim J.H., Lee M.-G., Barlat F., Wagoner R.H., and Chung K. An elasto-plastic constitutive model with plastic strain rate potentials for anisotropic cubic metals. Int. J. Plast. 24 (2008) 2298-2334
25. Kuwabara, T., Katami, C., Kikuchi, M., Shindo, T., Ohwue, T., 2001. Cup drawing of pure titanium sheet-finite element analysis and experimental validation. In: Proceedings of the Seventh International Conference Numerical Methods in Industrial Forming Processes, Toyohashi, Japan, 18-20 June 2001, pp. 781-785.
26. Lou X.Y., Li M., Boger B.K., Agnew S.R., and Wagoner R.H. Hardening evolution of AZ31B Mg sheet. Int. J. Plast. 23 (2007) 44-86
27. Nixon, M.E., Cazacu, O., Lebensohn, R.A., 2009. Anisotropic response of high-purity α-titanium: experimental characterization and constitutive modeling. Int. J. Plast., Available from (available on line).
28. Plunkett B., Lebensohn R.A., Cazacu O., and Barlat F. Anisotropic yield function of hexagonal materialstaking into account texture development and anisotropic hardening. Acta Mater. 54 (2006) 4159-4169
29. Plunkett B., Cazacu O., and Barlat F. Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals. Int. J. Plast. 24 (2008) 847-866
30. Rabahallah M., Balan T., Bouvier S., Bacroix B., Barlat F., Chung K., and Teodosiu C. Parameter identification of advanced plastic strain rate potentials and impact on plastic anisotropy prediction. Int. J. Plast. 25 (2009) 491-512
31. Takuda H., Yoshii T., and Hatta N. Finite-element analysis of the formability of magnesium-based alloy AZ31 sheet. J. Mater. Process. Techn. (1999) 135-140
32. Van Bael, A., Van Houtte, P., 2002. Convex fourth and sixth-order plastic potentials derived form crystallographic texture. In: Cescotto, S. (Ed.), Proceedings of the Sixth European Mechanics of Materials Conference (EMMC6), University of Liege, Liege, Belgium, pp. 51-58.
33. Van Houtte P. Application of plastic potentials to strain rate sensitive and insensitive anisotropic materials. Int. J. Plast. 10 (1994) 719-748
34. Van Houtte P., and Van Bael A. Convex plastic potentials of fourth and sixth rank for anisotropic materials. Int. J. Plast. 20 (2004) 1505-1524
35. Vitek V., Mrovec M., and Bassani J.L. Influence of non-glide stresses on plastic flow: from atomistic to continuum modeling. Mater. Sci Eng. A 365 (2004) 31-37
36. Yoon J.W., Song I.S., Yang D.Y., Chung K., and Barlat F. Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system. Int. J. Mechan. Sci. 37 (1995) 733-752
37. Yoon J.W., Chung K., Pourboghrat F., and Barlat F. Design optimization of extruded preform for hydroforming processes based on direct design method. Int. J. Mech. Sci. 48 (2006) 1416-1428
38. Ziegler H. An Introduction to Thermodynamics (1977), North-Holland, Amsterdam