Abstract
The proposed model and the properties obtained on the surface of velocity discontinuity are used to study two processes of plastic deformation: lateral extrusion and torsion of a hollow disk. In both cases, analytical solutions are obtained. The limits of applicability of the solution to lateral extrusion are determined.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. N. Malinin,Creep in Metal Working [in Russian], Mashinostroenie, Moscow (1986).
N. Cristescu, “Plastic flow through conical converging dies, using a viscoplastic constitutive equation,”Int. J. Mech. Sci.,17, 425–433 (1975).
V. D. Korobkin and P. D. Chudakov, “Power dissipation on the velocity-discontinuity, surfaces in a hardening material,”Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 158–161 (1969).
R. Becker, D. K. Denzer and V. M. Sample, “Velocity discontinuities in a large strain forming process,”Scripta Materialia,37, No. 12, 1963–1965 (1997).
D. D. Ivlev,Theory of Ideal Plasticity [in Russian], Nauka, Moscow (1966).
E. Voce, “The relationship between stress and strain for homogeneous deformation.,”J. Inst. Metals,74, 537–562 (1948).
J. G. Sevillano, P. van Houtte, and E. Aernaudt, “Large strain work hardening and textures,”Prog. Mater. Sci.,25, No. 1, 69–112 (1981).
U. F. Kocks, “Laws for work-hardening and low-temperature creep,”Trans. ASME, J. Eng. Mater. Technol.,98, No. 1, 76–85 (1976).
F. Barlat, J. C. Brem, D. J. Lege, and K. Chung, “Characterization of the formability for aluminum alloy and steel sheets,” in: M. Predeleanu and P. Gilormini (eds.),Advanced Methods in Materials Processing Defects, Elsevier, Amsterdam (1997), pp. 265–272.
N. N. Malinin,Applied Theory of Plasticity and Creep [in Russian], Mashinostroenie, Moscow (1975).
B. A. Druyanov, “Generalized solutions in the theory of plasticity.,”Prikl. Mat. Mekh.,50, No. 3, 483–489 (1986).
R. Hill, “Discontinuity relations in mechanics of solids,” in: I. N. Sneddon and R. Hill (eds.)Progress in Solid Mechanics, Vol. 2, North-Holland, Amsterdam, (1961), pp. 245–276.
V. M. Segal, “Materials processing by simple shear,”Mater. Sci. Eng., Ser. A,197, 157–164 (1995).
Y. Wu and I. Baker, “An experimental study of equal-channel angular extrusion.,”Scripta Materialia,37, No. 4, 437–442 (1997).
Y. Iwahashi, Z. Horita, M. Nenioto, and T. G. Langton, “An investigation of microstructural evolution during equal-channel angular pressing,”.Acta Mater.,45, No. 11, 4733–4741 (1997).
Ya. A. Kamenyarzh, “Discontinuous solutions of the problem of the theory of ultimate load,”.Dokl. Akad. Nauk SSSR,280, No. 3, 566–569 (1985).
I. F. Collins, “Boundary-value problems in plane strain plasticity,” in: H. G. Hopkins and M. J. Sewel (eds.)Mechanics of Solids: The Rodney Hill 60th Anniversary Volume, Pergamon Press, Oxford (1982), pp. 135–184.
H. Lippmann,Mechanik des Plastischen Fliebens, Springer-Verlag, Berlin (1981).
Additional information
Institute of Problems of Mechanics, Russian Academy of Sciences, Moscow 117526.1Bauman Moscow State Technical University, Moscow 105007. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 1, pp. 198–203, January–February, 2000.
Rights and permissions
About this article
Cite this article
Aleksandrov, S.E., Aleksandrova, N.N. Discontinuous velocity fields in a hardening rigid-plastic material. J Appl Mech Tech Phys 41, 182–187 (2000). https://doi.org/10.1007/BF02465254
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02465254