Role of strain-rate sensitivity in the crystal plasticity of hexagonal structures

International Journal of Plasticity

Volumn 23, Issue 2, 2007, Pages 227-243

  Beausir, Benoît ^a,b   Tóth, László S ^a   Neale, Kenneth W ^b  

^a UNIVERSITÉ DE LORRAINE   (France)

^b UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

Crystal plasticity; Hexagonal; Plastic spin; Strain rate sensitivity; Viscous slip

Indexed keywords

MAGNESIUM PRINTING PLATES; POLYCRYSTALS; SHEAR STRESS; STRAIN RATE; STRESS ANALYSIS; VISCOPLASTICITY;

CRYSTAL PLASTICITY; HEXAGONAL STRUCTURES; PLASTIC SPIN; STRAIN RATE SENSITIVITY; VISCOUS SLIP;

CRYSTAL STRUCTURE;

EID: 33750359951     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2006.02.013     Document Type: Article

References (23)

1. 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 Materialia 53 (2005) 3135-3146
2. Aravas N., and Aifantis E.C. On the geometry of slip and spin in finite plastic deformation. International Journal of Plasticity 7 (1991) 141-160
3. Asaro R.J., and Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metallurgica 33 (1985) 923-953
4. Bishop J.F.W., and Hill R. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Philosophical Magazine 42 (1951) 414-427
5. Bunge H.J., and Nielsen I. Experimental determination of plastic spin in polycrystalline materials. International Journal of Plasticity 13 (1997) 435-446
6. Canova G.R., Kocks U.F., Tomé C.N., and Jonas J.J. The yield surface of textured polycrystals. Journal of the Mechanics and Physics of Solids 33 (1985) 371-397
7. Dafalias Y.F. Plastic spin: necessity or redundancy. International Journal of Plasticity 14 (1998) 909-931
8. Dafalias Y.F., and Rashid M.M. The effect of plastic spin on anisotropic material behavior. International Journal of Plasticity 5 (1989) 227-246
9. Fortunier R. Dual potentials and extremum work principles in single crystal plasticity. Journal of the Mechanics and Physics of Solids 37 6 (1989) 779-790
10. p, material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous. International Journal of Plasticity 21 (2005) 1686-1719
11. Havner K.S. On Hill's stress rate in the continuum mechanics of polycrystals. Acta Mechanica 14 (1972) 183-187
12. Havner K.S. A theoretical analysis of finitely deforming f.c.c. crystals in the sixfold symmetry position. Proceedings of the Royal Society of London A378 (1981) 329-349
13. Havner K.S. First- and second-order analysis of axially loaded crystals in n-fold symmetry. Philosophical Transactions of the Royal Society of London A 311 (1984) 469-493
14. Hill R. Constitutive dual potentials in classical plasticity. Journal of the Mechanics and Physics of Solids 35 (1987) 23-33
15. Hutchinson J.W. Bounds and self-consistent estimates for creep of polycrystalline materials. Proceedings of the Royal Society of London A 348 (1976) 101-127
16. Lequeu P., Gilormini P., Montheillet F., Bacroix B., and Jonas J.J. Yield surfaces for textured polycrystals - I. Crystallographic approach. Acta Metallurgica 35 2 (1987) 439-451
17. Neale K.W., Tóth L.S., and Jonas J.J. Large strain shear and torsion of rate-sensitive FCC polycrystals. International Journal of Plasticity 6 (1990) 45-61
18. Song C.R., and Voyiadjis G.Z. Microstructure consideration with plastic spin and multiple back-stresses for large strain problems in soils. International Journal of Plasticity 18 (2002) 1271-1289
19. Tóth L.S., Gilormini P., and Jonas J.J. Effect of rate sensitivity on the stability of torsion textures. Acta Metallurgica 36 12 (1988) 3077-3091
20. Tóth L.S., Jonas J.J., and Neale K.W. Comparison of the minimum plastic spin and rate sensitive slip theories for loading of symmetrical crystal orientations. Proceedings of the Royal Society of London A 427 (1990) 201-219
21. Van der Giessen E., Wu P.D., and Neale K.W. On the effect of plastic spin on large strain elastic-plastic torsion of solid bars. International Journal of Plasticity 8 (1992) 773-801
22. Van Houtte P. Fast calculation of average Taylor factors and Mandel spins for all possible strain modes. International Journal of Plasticity 17 (2002) 807-818
23. Vreeland Jr. T. Dislocation velocity in copper and zinc. In: Rosenfield A.R., Hahan G.T., Bement A.L., and Jaffee R.I. (Eds). Dislocation Dynamics (1968), McGraw-Hill, New York 529-549