Polycrystalline behavior analysis of pure magnesium by the homogenization method

International Journal of Mechanical Sciences

Volumn 52, Issue 2, 2010, Pages 257-265

  Tadano, Yuichi ^a  

^a SAGA UNIVERSITY   (Japan)

Author keywords

Crystal plasticity; HCP; Homogenization method; Polycrystal; Pure magnesium

Indexed keywords

BEHAVIOR ANALYSIS; CRYSTAL PLASTICITY; HCP; MACROSCOPIC SCALE; MECHANICAL BEHAVIOR; NON-UNIFORM STRAIN; NUMERICAL CONVERGENCE; POLYCRYSTAL PLASTICITY; POLYCRYSTALLINE; PURE MAGNESIUM; REALISTIC DEFORMATIONS; REPRESENTATIVE VOLUME ELEMENTS; STRENGTH-DIFFERENTIAL EFFECTS; SUBSEQUENT YIELD SURFACES;

CONVERGENCE OF NUMERICAL METHODS; CRYSTAL ORIENTATION; CRYSTALLINE MATERIALS; DEFORMATION; MAGNESIUM; MAGNESIUM PRINTING PLATES; PLASTICITY; POLYCRYSTALS;

HOMOGENIZATION METHOD;

EID: 75149197900     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2009.09.022     Document Type: Article

References (25)

1. Friedrich H.E., and Mordike B.L. Magnesium technology, metallurgy, design data, applications (2006), Springer, Berlin
2. Hosford F.H. Mechanical behavior of materials (2005), Cambridge University Press, New York
3. Dawson P.R., and Marin E.B. Computational mechanics for metal deformation processes using polycrystal plasticity. Adv Appl Mech 34 (1998) 77-169
4. Staroselsky A., and Anand L. A constitutive model for hcp materials deforming by slip and twinning: application to magnesium alloy AZ31B. Int J Plasticity 19 (2003) 1843-1864
5. Agnew S.R., Mehrotra P., Lillo T.M., Stoica G.M., and Liaw P.K. Texture evolution of five wrought magnesium alloys during route A equal channel angular extrusion: experiments and simulations. Acta Mater 53 (2005) 3135-3146
6. Agnew S.R., and Duygulu O. Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B. Int J Plasticity 21 (2005) 1161-1193
7. Graff S., Brocks W., and Steglich D. Yielding of magnesium: from single crystal to polycrystalline aggregates. Int J Plasticity 23 (2007) 1957-1978
8. Beausir B., Tóth L.S., and Neale K.W. Ideal orientations and persistence characteristics of hexagonal close packed crystals in simple shear. Acta Mater 55 (2007) 2695-2705
9. Beausir B., Suwas S., Tóth L.S., Neale K.W., and Fundenberger J.-J. Analysis of texture evolution in magnesium during equal channel angular extrusion. Acta Mater 56 (2008) 200-214
10. Jain A., Duygulu O., Brown D.W., Tomé C.N., and Agnew S.R. Grain size effects on the tensile properties and deformation mechanisms of a magnesium alloy AZ31B, sheet. Mater Sci Eng A 486 (2008) 545-555
11. Proust G., Tomé C.N., Jain A., and Agnew S.R. Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31. Int J Plasticity 25 (2009) 861-880
12. Neil C.J., and Agnew S.R. Crystal plasticity-based forming limit prediction for non-cubic metals: application to Mg alloy AZ31B. Int J Plasticity 25 (2009) 379-398
13. Lee M.G., Wagoner R.H., Lee J.K., Chung K., and Kim H.Y. Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets. Int J Plasticity 24 (2008) 545-582
14. Lee M.G., Kim J.H., Chung K., Kim S.J., Wagoner R.H., and Kim H.Y. Analytical springback model for lightweight hexagonal close-packed sheet metal. Int J Plasticity 25 (2009) 399-419
15. Lee M.G., Kim S.J., Wagoner R.H., Chung K., and Kim H.Y. Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets: application to sheet springback. Int J Plasticity 25 (2009) 70-104
16. Plunkett B., Cazacu O., and Barlat F. Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals. Int J Plasticity 24 (2008) 847-866
17. Guedes J., and Kikuchi N. Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Comput Meth Appl Mech Eng 83 (1990) 145-198
18. Tadano Y., Kuroda M., Noguchi H., and Shizawa K. A polycrystalline analysis of hexagonal metal based on the homogenized method. Key Eng Mater 340-341 (2007) 1049-1054
19. Peirce D., Asaro R.J., and Needleman A. Material rate dependence and localized deformation in crystalline solids. Acta Metall 31 (1983) 1951-1976
20. Asaro R.J., and Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metall 33 (1985) 923-953
21. Ohno N., Okumura D., and Noguchi H. Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation. J Mech Phys Solids 50 (2002) 1125-1153
22. Nakamachi E., Tam N.N., and Morimoto H. Multi-scale finite element analyses of sheet metals by using SEM-EBSD measured crystallographic RVE models. Int J Plasticity 23 (2007) 450-489
23. Kelley E.W., and Hosford W.F. Plane-strain compression of magnesium and magnesium alloy crystals. Trans Metall Soc AIME 242 (1968) 5-13
24. Kelley E.W., and Hosford W.F. The deformation characteristics of textured magnesium. Trans Metall Soc AIME 242 (1968) 654-661
25. Cazacu O., Plunkett B., and Barlat F. Orthotropic yield criterion for hexagonal closed packed metals. Int J Plasticity 22 (2006) 1171-1194