Constitutive modeling of textured body-centered-cubic (bcc) polycrystals

International journal of plasticity

Volumn 15, Issue 6, 1999, Pages 625-645

  Lee, Yeong Joo ^a   Subhash, Ghatu ^b   Ravichandran, G ^c  

^a DOW CORNING CORPORATION   (United States)

^b Michigan Technological University   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DUCTILITY; FAILURE ANALYSIS; MATHEMATICAL MODELS; PLASTIC DEFORMATION; SHEAR STRESS; SINGLE CRYSTALS; STRAIN HARDENING; STRAIN RATE; STRESS ANALYSIS; TENSILE STRESS; TEXTURES; TUNGSTEN;

BODY CENTERED CUBIC (BCC) STRUCTURE; SHEARING RESISTANCE; TAYLOR AVERAGING SCHEME;

POLYCRYSTALS;

EID: 0032653975     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(99)00004-2     Document Type: Article

References (45)

1. Aifantis E.C. The physics of plastic deformation. Int. J. Plasticity. 3:1987;211.
2. Argon A.S., Maloof S.R. Plastic deformation of tungsten single crystals at low temperatures. Acta Metall. 14:1966;1449.
3. Asaro R.J. Geometrical effects in the inhomogeneous deformation of ductile single crystals. Acta Metall. 27:1979;445.
4. Asaro R.J. Micromechanics of crystals and polycrystals. Adv. Appl. Mech. 23:1983;1.
5. Asaro R.J., Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metall. 33:1985;923.
6. Asaro R.J., Rice J.R. Strain localization in ductile single crystals. J. Mech. Phys. Sol. 25:1977;309.
7. Ashfahani, R., Chen, E., Crowson, A., 1992. High Strain Rate Deformation of Refractory Metals and Alloys. The Minerals, Metals & Materials Society, Warrendale, PA.
8. Bassani J.L. Plastic flow of crystals. Adv. Appl. Mech. 30:1993;191.
9. Bassani J.L., Wu T.-Y. Latent hardening in single crystals part II. Analytical characterization and prediction. Proc. R. Soc., London. A435:1991;21.
10. Beardmore P., Hull D. Deformation and fracture of tungsten single crystals. J. Less-Comm. Met. 9:1965;168.
11. Christian J.W. Some surprising features of the plastic deformation of body-centered cubic metals and alloys. Metall. Trans. A. 14A:1983;1237.
12. Cuitino A.M., Ortiz M. Computational modeling of single crystals. Mod. Sim. Mat.Sci. Eng. 1:1993;225.
13. Franciosi P., Zaoui A. Multislip in f.c.c. crystals a theoretical approach compared with experimental data. Acta Metall. 30:1982;1627.
14. Frost, H.J., Ashby, M.F., 1987. Deformation Mechanism Maps. Pergamon Press, Oxford.
15. Havner, K.S., 1992. Finite Plastic Deformation of Crystalline Solids. Cambridge University Press, Cambridge.
16. Hill R. On constitutive macro-variables for heterogeneous solids at finite strain. Proc. R. Soc., London. A326:1972;131.
17. Hill R., Rice J.R. Constitutive analysis of elastic-plastic crystals at arbitrary strain. J. Mech. Phys. Sol. 20:1972;401.
18. Horwath, E.J., Ramesh, K.T., 1994. The high strain rate deformation of tungsten single crystals. In: Tungsten & Refractory Metals - 1994. Metal Powder Industries Federation, Princeton, NJ, pp. 365-377.
19. Hutchinson J.W. Bounds and self-consistent estimates for creep of polycrystalline materials. Proc. R. Soc., London. A348:1976;101.
20. Jackson P.J., Basinski Z.S. Latent hardening and the flow stress in copper single crystals. Can. J. Phys. 45:1967;707.
21. Jones F.O. The annealing of worked tungsten. J. Less-Comm. Met. 2:1960;163.
22. Khan A.S., Cheng P. An anisotropic elastic-plastic constitutive model for single and polycrystalline metals. 1. Theoretical developments. Int. J. Plasticity. 12:1996;147.
23. Klopp R.W., Clifton R.J., Shawki T.G. Pressure-shear impact and the dynamic viscoplastic response of metals. Mech. Matl. 4:1985;375.
24. Kocks U.F. The relation between polycrystal deformation and single-crystal deformation. Metall. Trans. A. 1:1970;1121.
25. Malvern, L.E., 1969. Introduction to the Mechanics of a Continuous Medium. Prentice Hall, Englewood Cliffs, NJ, pp. 278-294.
26. Meyer, L.W., Chiem, C.Y., 1989. Strain rate dependence of mechanical behavior and evaluation of the microstructure of tungsten monocrystals. In: J. Haraing (Ed.), Institute of the Physics Conference Series, vol. 102. Oxford, pp. 227-236.
27. Peirce D., Asaro R.J., Needleman A. An analysis of nonuniform and localized deformation in ductile single crystals. Acta Metall. 30:1982;1087.
28. Peirce D., Asaro R.J., Needleman A. Material rate dependence and localized deformation in crystalline solids. Acta Metall. 31:1983;1951.
29. Ravichandran G. Influence of processing on the high strain rate behavior of refractory metals-a review. Mat. Manuf. Proc. 9:1994;1031.
30. Rice J.R. Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity. J. Mech. Phys. Sol. 19:1971;433.
31. Rose R.M., Ferriss D.P., Wulff J. Yielding and plastic flow in single crystals of tungsten. Trans. Metall. Soc. AIME. 224:1962;981.
32. Sachs G. Zur ableilung einer fleissbedingung. VDI Z. 72:1928;734.
33. Scoek G. On the yield stress in b.c.c. metals. Acta Metall. 9:1961;382.
34. Sleeswyk A.W. 1 2 〈111〉 screw dislocations and the nucleation of {112}〈111〉 twins in the b.c.c. lattice. Phil. Mag. 8:1963;1467.
35. Stephens J.R. Dislocation structure in single-crystal tungsten and tungsten alloys. Metall. Trans. A. 1:1970;1293.
36. Subhash G. The constitutive response of refractory metals as a function of strain rate. JOM. 47:1995;55.
37. Subhash G., Lee Y.J., Ravichandran G. Plastic deformation of CVD textured tungsten, part I: constitutive response. Acta Metall. Mater. 42:1994;319.
38. Subhash G., Lee Y.J., Ravichandran G. Plastic deformation of CVD textured tungsten, part II: characterization. Acta Metall. Mater. 42:1994;331.
39. Taylor G.I. The deformation of crystals of β -brass. Proc. R. Soc., London. A118:1928;1.
40. Taylor G.I. Plastic strain in metals. J. Inst. Met. 62:1938;307.
41. Taylor G.I., Elam C.F. The distortion of iron crystals. Proc. R. Soc., London. A112:1926;337.
42. Taylor G.I., Quinney H. The plastic distortion of metals. Phil. Trans. Roy. Soc., London. A230:1931;323.
43. Vitek V. Theory of the core structures of dislocations in body-centered-cubic metals. Cryst. Latt. Def. 5:1974;1.
44. Vitek V. Computer simulation of the screw dislocation motion in bcc metals under the effect of the external shear and uniaxial stresses. Proc. R. Soc., London. A352:1976;109.
45. Weng G.J. Anisotropic hardening in single crystals and the plasticity of polycrystals. Int. J. Plasticity. 3:1987;315.