Modeling of the monotonic and cyclic Swift effects using an isotropic, finite viscoplasticity theory based on overstress (FVBO)

International Journal of Plasticity

Volumn 21, Issue 3, 2005, Pages 573-588

  Colak, Ozgen U ^a,b   Krempl, Erhard ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b YILDIZ TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Free end torsion; Isotropy; Swift effect; Viscoplasticity

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; DEFORMATION; KINEMATICS; MATHEMATICAL MODELS; SHEAR STRESS; STRAIN; TORSIONAL STRESS;

FREE-END TORSION; ISOTROPY; LOADING BEHAVIORS; SWIFT EFFECTS;

VISCOPLASTICITY;

EID: 6344250891     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2004.04.010     Document Type: Article

References (27)

1. Billington E.W. Non-linear mechanical response of various metals: II. Permanent length changes in twisted tubes. J. Phys. D: Appl. Phys. 9:1976;533-552.
2. Böhlke T., Bertram A., Krempl E. Modeling of deformation induced anisotropy in free-end torsion. Int. J. Plasticity. 19(11):2003;1867-1884.
3. Colak, O.U., 2001. Modeling of proportional and non-proportional cyclic loading, ratcheting and deformation induced anisotropy using viscoplasticity theory based on overstress. Ph.D. Thesis, Deparment of Mechanical Engineering, Aeronautical Engineering, Mechanics, Rensselaer Polytechnic Institute, Troy, NY, p. 12180.
4. Colak O.U. Modeling of large simple shear using a viscoplastic overstress model and classical plasticity model with different objective stress rates. Acta Mech. 167:2004;171-187.
5. Dafalias Y.F. The plastic spin in viscoplasticity. Int. J. Solids Struct. 26(2):1990;149-163.
6. Gomaa S., Sham T.-L., Krempl E. Finite element formulation for a finite deformation isotropic viscoplasticity theory based on overstress (FVBO). Int. J. Solids Struct. 41(13):2004;3607-3624.
7. Harren S., Lowe T.C., Asaro R.J., Needleman A. Analysis of large strain shear in rate dependent face centered cubic polycrystals: correlation of micro and macromechanics. Phil. Trans. R. Soc. Lond. A. 328:1989;443-500.
8. Krempl E. Models of viscoplasticity-some comments on equilibrium (back) stress and drag stress. Acta Mech. 69:1987;25-42.
9. Krempl E., 1994. Deformation induced anisotropy. Rensselaer Polytechnic Institute Report Mechanics of Materials Laboratory, 94-3.
10. Krempl, E., 1998. Creep-plasticity interaction. Lecture notes, CISM No:187, Udine, Italy, p. 74.
11. Kuroda M. Interpretation of the behavior of metals under large plastic shear deformations: a macroscopic approach. Int. J. Plasticity. 13(4):1997;359-383.
12. Kuroda M. Interpretation of the behavior of metals under large plastic shear deformations: comparison of macroscopic predictions to physically based predictions. Int. J. Plasticity. 15:1999;1217-1236.
13. Lee K.-D., Krempl E. An orthotropic theory of viscoplasticity based on overstress for thermomechanical deformations. Int. J. Solids Struct. 27(11):1991;1445-1459.
14. Lowe T.C., Lipkin J. Analysis of axial deformation response during reverse shear. J. Mech. Phys. Solids. 39(3):1991;417-440.
15. Majors P., Krempl E. Comments on induced anisotropy, the Swift effect, and finite deformation inelasticity. Mech. Res. Commun. 21:1994;465-472.
16. Montheillet F., Gilormini P., Jonas J.J. Relation between axial stresses and texture development during torsion testing: a simplified theory. Acta Metal. 33(4):1985;705-707.
17. Neale K.W., Toth L.S., Jonas J.J. Large strain shear and torsion of rate-sensitive FCC polycrystals. Int. J. Plasticity. 6:1990;45-61.
18. Sutcu, M., 1985. An orthotropic formulation of the viscoplasticity theory based on overstress. Ph.D. Thesis, Rensselaer Polytechnic Institute, Troy, New York.
19. Swift H. Length changes in metals under torsional overstrain. Engineering. 163:1947;253-257.
20. Van der Giessen E., Wu P.D., Neale K.W. On the effect of plastic spin on large strain elastic-plastic torsion of solid bars. Int. J. Plasticity. 8:1992;773-801.
21. Voyiadjis G., Kattan P. Finite elasto-plastic analysis of torsion problems using different spin tensors. Int. J. Plasticity. 8:1992;271-314.
22. Wu P.D., Neale K.W., Van der Giessen E. Simulation of the behavior of FCC polycrystals during reversed torsion. Int. J. Plasticity. 12(9):1996;1199-1219.
23. Wu H., Xu Z., Wang P. Torsion test of aluminum in the large strain range. Int. J. Plasticity. 13(10):1998;873-892.
24. Wu H.-C. On finite plastic deformation of anisotropic metallic materials. Int. J. Plasticity. 19:2003;91-119.
25. Xiao H., Bruhns O.T., Meyers A. Logarithmic strain, logarithmic spin and logarithmic rate. Acta Mech. 124:1997;89-105.
26. Zidi M. Torsion and telescopic shearing of a compressible hyperelastic tube. Mech. Res. Commun. 26(2):1999;245-252.
27. Zidi M. Finite torsion and anti-plane shear of a compressible hyperelastic and transversely isotropic tube. Int. J. Eng. Sci. 38:2000;1487-1496.