On optimal extrusion dies for rigid-plastic materials
Author:
Hans F. Weinberger
Journal:
Quart. Appl. Math. 56 (1998), 543-552
MSC:
Primary 73E99; Secondary 49J20, 73V25
DOI:
https://doi.org/10.1090/qam/1637060
MathSciNet review:
MR1637060
Full-text PDF Free Access
References |
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Additional Information
- R. Hill, Stability of rigid-plastic solids, J. Mech. Phys. Solids 6 (1957), 1–8. MR 92458, DOI https://doi.org/10.1016/0022-5096%2857%2990040-6
- G. Pólya and M. Schiffer, Convexity of functionals by transplantation, J. Analyse Math. 3 (1954), 245–346. With an appendix by Heinz Helfenstein. MR 66530, DOI https://doi.org/10.1007/BF02803593
O. Richmond and M. L. Devenpeck, A die profile for maximum efficiency in strip drawing, Proc. of the Fourth U. S. National Congress of Applied Mechanics, Vol. 2, pp. 1053–1057, 1962
O. Richmond and H. L. Morrison, Streamlined wire drawing dies of minimum length, J. Mech. Phys. Solids 15, 195-203 (1967)
- H. F. Weinberger, Degenerate elliptic models for perfectly plastic flows, Elliptic and parabolic problems (Pont-à-Mousson, 1994) Pitman Res. Notes Math. Ser., vol. 325, Longman Sci. Tech., Harlow, 1995, pp. 240–250. MR 1416588
R. Hill, Ideal forming operations for perfectly plastic solids, J. Mech. Phys. Solids 15, 223–227 (1967)
G. Polya and M. Schiffer, Convexity of functionals by transplantation, J. d’Analyse Math. 3, 245–346 (1954)
O. Richmond and M. L. Devenpeck, A die profile for maximum efficiency in strip drawing, Proc. of the Fourth U. S. National Congress of Applied Mechanics, Vol. 2, pp. 1053–1057, 1962
O. Richmond and H. L. Morrison, Streamlined wire drawing dies of minimum length, J. Mech. Phys. Solids 15, 195-203 (1967)
H. F. Weinberger, Degenerate elliptic models for perfectly plastic flows, in Elliptic and Parabolic Problems, Pont-à Mousson, 1994, ed. Bandle, Bemelmans, Chipot, Paulin, and Shafrir, Pitman Research Notes in Mathematics 325, Longman, 1995, pp. 240–250
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Article copyright:
© Copyright 1998
American Mathematical Society
