Modeling axisymmetric flow through a converging channel with an arbitrary yield condition

Acta Mechanica

Volumn 133, Issue 1-4, 1999, Pages 57-68

  Alexandrov, S ^a   Barlat, F ^b  

^a INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001873106     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01179010     Document Type: Article

References (30)

1. Sokolovsky, V. V.: Theory of plasticity. Moscow-Leningrad: Gostehizdat 1950 [in Russian].
2. Shield, R. T.: Plastic flow in a converging channel. J. Mech. Phys. Solids 3, 246-258 (1955).
3. Brovman, M. J.: Steady forming processes of plastic materials with their rotation. Int. J. Mech. Sci. 29, 483-489 (1987).
4. Spencer, A. J. M.: A theory of the failure of ductile materials reinforced by elastic fibres. Int. J. Mech. Sci. 7, 197-209 (1965).
5. Durban, D., Fleck, N. A.: Singular plastic fields in steady penetration of a rigid cone. J. Appl. Mech. Trans. ASME 59, 706-710 (1992).
6. Sokolovsky, V. V.: Equations of plastic flow in surface layer. Prikladnaya Mat. Mek. (PMM) 20, 328-334 (1956) [in Russian].
7. Alexandrov, S. E., Druyanov, B. A.: Friction conditions for plastic bodies. Izv. RAN, Mech. Solids 27, 110- 115 (1992) [Trans. from Russian].
8. Druyanov, B., Alexandrov, S. E.: Laws of external friction of plastic bodies. Int. J. Plasticity 8, 819-826 (1992).
9. Alexandrov, S. E., Richmond, O.: Axisymmetric asymptotic plastic flow field near surfaces with maximum friction in Tresca solids. Dokl. Akad. Nauk 360, 480-482 (1998) [in Russian].
10. Alexandrov, S. E.: Discontinuous velocity field due to arbitrary strains in an ideal rigid-plastic body. Sov. Phys. Dokl. 37, 283-284 (1992) [Trans. from Russian].
11. Alexandrov, E. E.: Velocity field near its discontinuity in an arbitrary flow of an ideal rigid-plastic material. Izv. RAN, Mech. Solids 30, 111-117 (1995) [in Russian].
12. Hecker, S. S.: Experimental studies of yield phenomena in biaxially loaded metals. Constitutive equations in viscoplasticity: computational and engineering aspects (Stricklin, A., Saczalski, K. C., eds.), pp. 1-33. New York: ASME 1976.
13. Bishop, J. W. F., Hill, R.: A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Phil. Mag. 42, 414-427 and: A theoretical derivation of the plastic properties of polycrystalline face-centered metals. Phil. Mag. 42, 1298-1307 (1951).
14. Bishop, J. W. F., Hill, R.: A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Phil. Mag. 42, 414-427 and: A theoretical derivation of the plastic properties of polycrystalline face-centered metals. Phil. Mag. 42, 1298-1307 (1951).
15. Hill, R.: A theory of the yielding and plastic flow of anisotropic metals. Proc. R. Soc. London Ser. A 193, 281-297 (1948).
16. Hershey, A. V.: The plasticity of an isotropic aggregate of anisotropic face centered cubic crystals. J. Appl. Mech. Trans. ASME 21, 241-249 (1954).
17. Hosford, W. F.: A generalized isotropic yield criterion. J. Appl. Mech. Trans. ASME 39, 607-609 (1972).
18. Bassani, J. L.: Yield characterization of metals with transversely isotropic plastic properties. Int. J. Mech. Sci. 19, 651-660 (1977).
19. Hill, R.: Theoretical plasticity of textured aggregates. Math. Proc. Cambridge Phil. Soc. 85, 179-191 (1979).
20. Logan, R. W., Hosford, W. F.: Upper-bound anisotropic yield locus calculations assuming 〈111〉 pencil glide. Int. J. Mech. Sci. 22, 419-430 (1980).
21. Budianski, B.: Anisotropic plasticity of plane-isotropic sheets. In: Mechanics of material behavior (Dvorak, G. J., Shield, R. T., eds.), pp. 15-29. Amsterdam: Elsevier 1984.
22. Hill, R.: Constitutive modelling of orthotropic plasticity in sheet metals. J. Mech. Phys. Solids 38, 405-417 (1990).
23. Barlat, F., Lege, D. J., Brem, J. C.: A six-component yield function for anisotropic materials. Int. J. Plasticity 7, 693-712 (1991).
24. Karafillis, A. P., Boyce, M. C.: A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41, 1859-1886 (1993).
25. Marciniak, Z., Kuczynski, K.: Limit strain in the process of stretch forming sheet metal. Int. J. Mech. Sci. 9, 609-620 (1967).
26. Stören, S., Rice, J. R.: Localized necking in thin sheet. J. Mech. Phys. Solids 23, 421-441 (1975).
27. Barlat, F.: Prediction of tricomponent plane stress yield surfaces and associated flow and failure behavior of strongly textured FCC polycrystalline sheets. Mat. Sci. Eng. 95, 15-29 (1987).
28. Bate, P. S.: The prediction of limit strain in steel sheet using a discrete slip plasticity model. Int. J. Mech. Sci. 26, 373-384 (1984).
29. Taylor, G. I.: Plastic strains in metals. J. Inst. Metals 62, 307-324 (1938).
30. Hill, R.: The mathematical theory of plasticity. Oxford: Clarendon Press 1950.