Constitutive modeling of superplastic deformation. Part I: Theory and experiments

International Journal of Plasticity

Volumn 13, Issue 1-2, 1997, Pages 143-164

  Khraisheh, M K ^a   Zbib, H M ^a   Hamilton, C H ^a   Bayoumi, A E ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; LEAD ALLOYS; MATHEMATICAL MODELS; RESIDUAL STRESSES; STRESS RELAXATION; SUPERPLASTICITY; TENSILE TESTING; TENSORS; VISCOPLASTICITY;

YIELD SURFACES;

PLASTIC DEFORMATION;

EID: 0030644339     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(97)00005-3     Document Type: Article

References (26)

1. Bayoumi, A. E. and Conrad, H. (1985) Effect of material parameters on stretch formability in uniaxial tension in 3003-0 Al alloy. In Proc. 13TH NAMRC Conference, May 1985, University of California-Berkeley, pp. 266-271.
2. Chandra, N. and Murali, K. (1995) A micromechanistic model of superplastic behavior in pseudo single phase aluminum alloys. Scripta Metallurgica et Materialia 32(9), 1429.
3. Dafalias, Y. F. (1990) The plastic spin in viscoplasticity. Int. Journal of Solids Structures 26(2), 149.
4. Drucker, D. C. (1949) Relation of experiments to mathematical theories of plasticity. ASME Journal of Applied Mechanics 16, 349.
5. Edington, J. W., Melton, K. N. and Cutler, C. P. (1976) Superplasticity. Prog. Matrl. Sci. 21, 67.
6. Ghosh, A. K. and Hamilton, C. H. (1982) Influences of material parameters and microstructure on superplastic forming. Metall. Trans. 13, (A), 733.
7. Hamilton, C. H., Zbib, H. M., Johnson, C. H., Richter, S. K. (1991) Dynamic grain coarsening, its effect on flow localization in superplastic deformation. The Second International SAMPE Symposium. Chipa, Japan, pp. 272-279.
8. Hill, R. (1950) The Mathematical Theory of Plasticity, Oxford University Press, London.
9. Khan, A. (1996) Continuum Theory of Plasticity, John Wiley & Sons, New York.
10. Khraisheh, M. K., Bayoumi, A. E., Hamilton, C. H., Zbib, H. M. and Zhang, K. (1995) Experimental observations of induced anisotropy during the torsion of superplastic Pb-Sn eutectic alloy. Scripta Metallurgica et Materialia 32(7), 955.
11. Lee, E. H. (1969) Elastic-plastic deformations at finite strains. ASME Journal of Appl. Mech. 36, 1.
12. Lubliner, J. (1990) Plasticity Theory, Macmillan Publishing Co., New York.
13. Mayo, M. J. and Nix, W. D. (1989) Direct observation of superplastic flow mechanisms in torsion. Acta Metall. 37(4), 1121.
14. Miller, M. P. and McDowell, D. L. (1992) Stress state dependence of finite strain inelasticity. Microstructural Characterization in Constitutive Modeling of Metals and Granular Media, ASME MD-Vol 32, pp. 27-44.
15. Montheillet, F., Cohen, M. and Jonas, J. J. (1984) Axial stresses and texture development during the torsion testing of Al, Cu and α-Fe. Acta Metall. 32(11), 2077.
16. Montheillet, F., Cohen, M. and Jonas, J. J. (1985) Relation between axial stresses and textures development during torsion testing: a simplified theory. Acta Metall. 33(4), 705.
17. Pilling, J. and Ridley, N. (1989) Superplasticity in Crystalline Solids, The Institute of Metals, London.
18. Swift, H. W. (1947) Length changes in metals under torsional overstrain. Engineering 163, 253.
19. Tóth, L. S., Gilormini, P. and Jonas, J. J. (1988) Effect of rate sensitivity on the stability of torsion textures. Acta Metall. 36(12), 3077.
20. Tóth, L. S., Jonas, J. J., Daniel, D. and Bailey, J. A. (1992) Texture development and length changes in copper bars subjected to free end torsion. Textures and Microstructures 19, 245.
21. Twigg, T. M. (1993) Real time characterization of superplastic materials through a computerized tension-torsion testing machine. MS Thesis, Washington State University, Pullman.
22. Zbib, H. M. (1991) On the mechanics of large inelastic deformation: noncoaxiality, axial effects in torsion and localization. Acta Mechanica 87, 179.
23. Zbib, H. M. (1993) On the mechanics of large inelastic deformation: kinematics and constitutive modeling. Acta Mechanica 96, 119.
24. Zbib, H. M. and Aifantis, E. C. (1988a). On the concept of relative and plastic spins and its implications to large deformation theories. Part II: Anisotropic hardening plasticity. Acta Mechanica 75, 35.
25. Zbib, H. M. and Aifantis, E. C. (1988b). On the concept of relative and plastic spins and its implications to large deformation theories. Part I: Hypoelasticity and vertex-type plasticity. Acta Mechanica 75, 15.
26. Zhang, K., Hamilton, C. H., Zbib, H. M. and Khraisheh, M. K. (1995) Observation of transient effects in superplastic deformation of Pb-Sn eutectic alloy. Scripta Metallurgica et Materialia 32(6), 919.