Anisotropic response of high-purity α-titanium: Experimental characterization and constitutive modeling

International Journal of Plasticity

Volumn 26, Issue 4, 2010, Pages 516-532

  Nixon, Michael E ^a   Cazacu, Oana ^b   Lebensohn, Ricardo A ^c  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Titanium; Finite element; Orthotropic elasto plastic model; Tension compression asymmetry; Twinning

Indexed keywords

ANISOTROPIC RESPONSE; BASAL TEXTURES; COMPRESSIVE TESTS; CONSTITUTIVE MODELING; DEFORMATION BEHAVIOR; ELASTO-PLASTIC MODELS; EXPERIMENTAL CHARACTERIZATION; FE-SIMULATION; FINITE ELEMENT; HARDENING RULES; HIGH-PURITY; MACROSCOPIC RESPONSE; PLASTIC ANISOTROPY; POLYCRYSTALLINE; QUASI-STATIC; QUASI-STATIC CONDITIONS; ROLLED PLATES; ROOM TEMPERATURE; STRENGTH-DIFFERENTIAL EFFECTS; TENSION-COMPRESSION ASYMMETRY; TEXTURE EVOLUTIONS; THEORETICAL INVESTIGATIONS; YIELD CRITERIA;

ANISOTROPY; ELASTOPLASTICITY; FINITE ELEMENT METHOD; TEXTURES; TITANIUM;

PLASTICS;

EID: 77649234520     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2009.08.007     Document Type: Article

References (36)

1. Barlat F., Cazacu O., Zyczkowski M., Banabic D., and Yoon J. Yield surface plasticity and anisotropy in sheet metals. In: Raabe D., Roters F., Barlat F., and Chen L.Q. (Eds). Continuum Scale Simulation of Engineering Materials, Fundamentals - Microstructures - Process Applications (2004), Wiley-VCH, Weinheim, Berlin GmbH 145-178
2. Barlat F., Yoon J., and Cazacu O. On linear transformation-based anisotropic yield functions. International Journal of Plasticity 23 (2007) 876-896
3. Cazacu O., and Barlat F. Generalization of Drucker's yield criterion to orthotropy. Mathematics and Mechanics of Solids 6 (2001) 613-630
4. Cazacu O., and Barlat F. A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. International Journal of Plasticity 20 (2004) 2027-2045
5. 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 Macro-Scale Properties (2008), ISTE Ltd. and Wiley Inc., New York 71-87
6. Cazacu O., Plunkett B., and Barlat F. Orthotropic yield criterion for hexagonal closed packed metals. International Journal of Plasticity 22 (2006) 1171-1194
7. Chun Y.B., Yu S.L., Semiatin S.L., and Hwang S.K. Effect of deformation twinning on microstructure and texture evolution during cold rolling of cp-titanium. Materials Science and Engineering A 398 (2005) 209-219
8. Follansbee P.S., Gray G., and Wu P.D. An analysis of the low temperature, low and high strain-rate deformation of Ti-6Al-4V. Metallurgical Transactions A 20 (1989) 863-874
9. Graff S., Brocks W., and Steglich D. Yielding of magnesium: from single crystal to polycrystalline aggregates. International Journal of Plasticity 23 (2007) 1957-1978
10. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society of London A 193 (1948) 281-297
11. Hosford W. Mechanical Behavior of Materials (2005), Cambridge University Press, Cambridge
12. Hosford W.F., and Allen T. Deformation characteristics of textured magnesium. Transactions of the TMS-AIME 242 (1968) 654-661
13. Hosford W.F., and Allen T. Twinning and directional slip as a cause for a strength differential effect. Metallurgical Transactions 4 (1973) 1424-1425
14. Johnson, G.R., Beissel, S.R., Stryk, R.A., Gerlach, C.A., Holmquist, T.J., October 2003. User instructions for the 2003 version of the EPIC code. Tech. Rep., Network Computing Services Inc., Minneapolis, MN.
15. Kaschner, G.C., Lovato, M.L., Stout, M.G., Proust, G., Liu, C., Beyerlein, I.J., Usov, I., Wang, Y., Tome, C.N., in press. Mini-tensile experiments of clock-rolled zirconium plate. Experimental Mechanics, doi:10.1007/s11340-008-9213-6.
16. Khan A., Suh Y., and Kazmi R. Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys. International Journal of Plasticity 20 (2004) 2233-2248
17. Khan A., 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. International Journal of Plasticity 23 (2007) 931-950
18. Kuwabara, T., Katami, C., Kikuchi, M., Shindo, T., Ohwue, T., 18-20 June 2001. Cup drawing of pure titanium sheet - finite element analysis and experimental validation. In: Proceedings of the Seventh International Conference on Numerical Methods in Industrial Forming Processes, Toyohashi, Japan. pp. 781-787.
19. Lee D., and Backofen W.A. Yielding and plastic deformation in textured shett of titanium and its alloys. Transactions of the TMS-AIME 236 (1966) 1703-1966
20. Lee W.S., and Lin M. The effects of strain rate and temperature on the compressive deformation behavior of Ti-6Al-4V alloy. Journal of Materials Processing Technology 71 (1997) 235-246
21. Lee M.-G., Wagoner R., Lee J., Chung K., and Kim H. Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets. International Journal of Plasticity 24 (2008) 545-582
22. Li Q., Xu Y., and Bassim M.N. Dynamic mechanical behavior of pure titanium. Journal of Materials Processing Technology 155 (1997) 1889-1892
23. Li S., Hoferlin E., Bael A.V., Houtte P.V., and Teodosiu C. Finite-element modeling of plastic anisotropy induced by texture and strain-path changes. International Journal of Plasticity 19 (2003) 647-674
24. Lou X., Li M., Boger R., Agnew S., and Wagoner R. Hardening evolution of AZ31B Mg sheet. International Journal of Plasticity 23 (1997) 44-86
25. Nemat-Nasser S., Guo W.-G., Nesterenko V., Indrakanti S., and Gu Y.-B. Dynamic response of conventional and hot isostatically pressed Ti-6Al-4V alloys: experiments and modeling. Mechanics of Materials 33 (2001) 425-439
26. Picu R., and Majorell A. Mechanical behavior of Ti-6Al-4V at high and moderate temperatures. Part II: constitutive modeling. Materials Science and Engineering A 326 (2002) 306-316
27. Plunkett B., and Cazacu O. Viscoplastic modeling of anisotropic textured metals. In: Cazacu O. (Ed). Multiscale Modeling of Heterogeneous Materials: From Microstructure to Macro-Scale Properties (2008), ISTE Ltd. and Wiley Inc., New York 111-126
28. Plunkett B., Lebensohn R.A., Cazacu O., and Barlat F. Evolving yield function of hexagonal materials taking into account texture development and anisotropic hardening. Acta Materialia 54 (2006) 4159-4169
29. Proust G., Tome C.N., and Kaschner G.C. Modeling texture, twinning, and hardening evolution during deformation of hexagonal materials. Acta Materialia 55 (2007) 2137-2148
30. Salem A.A., Kalidindi S.R., and Doherty R.D. Strain hardening of titanium: role of deformation twinning. Acta Materialia 51 (2003) 4225-4237
31. Simo J., and Hughes T. Computational Inelasticity (1998), Springer, New York
32. Staroselsky A., and Anand L. A constitutive model for hcp metals deforming by slip and twinning: application to magnesium alloy AZ31. International Journal of Plasticity 19 (2003) 1843-1864
33. Tome C.N., and Lebensohn R.A. Self-consistent homogenization methods for texture and anisotropy. In: Raabe D., Roters F., Barlat F., and Chen L.-Q. (Eds). Continuum Scale Simulation of Engineering Materials, Fundamentals - Microstructures - Process Applications (2004), Wiley-VCH, Berlin GmbH 473-497
34. Tome C.N., Maudlin P.J., Lebensohn R.A., and Kaschner G.C. Mechanical response of zirconium: I. Derivation of a polycrystal constitutive law and finite element analysis. Acta Materialia 49 (2001) 3085-3096
35. Vitek V., Mrovec M., and Bassani J.L. Influence of non-glide stresses on plastic flow: from atomistic to continuum modeling. Materials Science and Engineering A 365 (2004) 31-37
36. Wu X., Kalidindi S.R., Necker C., and Salem A. Prediction of crystallographic texture evolution and anisotropic stress-strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model. Acta Materialia 55 (2007) 423-432