Abstract
Plane strain extrusion of porous metals is analyzed using asymptotic techniques. The asymptotic expansions are based on a small parameter є defined to be the ratio of the height reduction to the length of the die in the reduction region. Gurson’s plasticity model is used to describe the constitutive behavior of the material. It is shown that the effects of porosity enter as an O(є) correction. The effects of strain hardening of the matrix and friction at the die-metal interface are accounted for. The asymptotic solutions developed are verified using detailed finite element calculations.
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References
Hill, R.: The Mathematical Theory of Plasticity, Oxford: Oxford University Press 1950.
Avitzur, B.: Metal Forming — The Application of Limit Analysis, New York: Marcel Dekker, Inc. 1980.
Lee, E.H.; Mallet, R.L.; Yang, W.H.: Stress and deformation analysis of the metal extrusion process, Comp. Meth. App. Mech. Engng. 10 (1977) 339–353.
Kobayashi, S.; Oh, S-I.; Altan, T.: Metal Forming and the Finite-Element Method, Oxford: Oxford University Press 1989.
Johnson, R.E.: Conical extrusion of a work-hardening material: An asymptotic analysis, J. Engng. Math. 21 (1987) 295–329.
Aravas, N.; McMeeking, R.M.: An asymptotic analysis of three-dimensional extrusion, ASME J. App. Mech. 56 (1989) 519–526.
Durban, D.; Mear, M.E.: Asymptotic analysis for extrusion of sintered powder metals, University of Texas at Austin Report 1989.
Govindarajan, R.M.; Aravas, N.: Asymptotic analysis of extrusion of porous metals, Int. J. Mech. Sci. (1991), to appear.
Gurson, A.L.: Continuum theory of ductile rupture by void nucleation and growth: Part I—Yield criteria and flow rules for porous ductile materials, J. Eng. Matl. Tech. 99 (1977) 2–15.
Van Dyke, M.: Perturbation Methods in Fluid Mechanics, Stanford: The Parabolic Press 1975.
Govindarajan, R.M.: Ph. D. Thesis (in preparation), Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA, USA 1991.
von Kârmân, T.: Beitrag zur Theorie des Walzvorganges, Z. angew. Math. Mech. 5 (1925) 139–141.
Hibbitt, H.D.: ABAQUS/EPGEN–A general purpose finite element code with emphasis on nonlinear applications, Nucl. Eng. Des. 77 (1984) 271–297.
Aravas, N.: On the numerical integration of a class of pressure-dependent plasticity models, Int. J. Num. Meth. Engng. 24 (1987) 1395–1416.
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© 1992 Springer-Verlag Berlin Heidelberg
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Govindarajan, R.M., Aravas, N. (1992). Asymptotic Analysis and Numerical Simulation of Deformation Processing of Porous Metals. In: Besdo, D., Stein, E. (eds) Finite Inelastic Deformations — Theory and Applications. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84833-9_6
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DOI: https://doi.org/10.1007/978-3-642-84833-9_6
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