Abstract
Conditions which must be satisfied by the steady flow of a rigid-plastic material through an extrusion die which minimizes dissipation power are derived.
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References
Hill, R., ‘Stability of rigid-plastic solids’, J. Mech. Phys. Solids 6 (1957) 1-8.
Hill, R., ‘A remark on diagonal streaming in plane elastic strain’, J. Mech. Phys. Solids 14 (1966) 245-248.
Hill, R., ‘Ideal forming operations for perfectly plastic solids’, J. Mech. Phys. Solids 15 (1967) 223-227.
Hill, R., ‘Extremal paths of plastic work and deformation’, J. Mech. Phys. Solids 34 (1986) 511-523.
Nadai, A., Theory of Flow and Fracture of Solids, McGraw-Hill, New York, 1963.
Polya, G. and Schiffer, M., ‘Convexity of functionals by transplantation’, J. d'Analyse Math. 3 (1954) 245-346.
Richmond, O. and Devenpeck, M.L., ‘A die profile for maximum efficiency in strip drawing’, in: Proceedings of the Fourth U.S. National Congress of Applied Mechanics, 1962, pp. 1053-1057.
Richmond, O. and Morrison, H.L., ‘Streamlined wire drawing dies of minimum length’, J. Mech. Phys. Solids 15 (1967) 195-203.
Weinberger, H.F., ‘On the nonexistence of certain ideal forming operations’, J. Mech. Phys. Solids 45 (1997) 1275-1280.
Weinberger, H.F., ‘On optimal extrusion dies for rigid-plastic materials’, Quart. Appl. Math. 56 (1998) 543-552.
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Weinberger, H.F. Necessary Conditions for the Optimality of an Extrusion Die for a Rigid-Plastic Material. Meccanica 38, 547–554 (2003). https://doi.org/10.1023/A:1024735400048
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DOI: https://doi.org/10.1023/A:1024735400048