Abstract
Ever since the ideal forming theory has been developed for process design purposes, application has been limited to sheet forming and, for bulk forming, to two-dimensional steady flow. Here, application for the non-steady case was made under the plane-strain condition. In the ideal flow, material elements deform following the minimum plastic work path (or mostly proportional true strain path) so that the ideal plane-strain flow can be effectively described using the two-dimensional orthogonal convective coordinate system. Besides kinematics, schemes to optimize preform shapes for a prescribed final part shape and also to define the evolution of shapes and frictionless boundary tractions were developed. Discussions include numerical calculations made for a real automotive part under forging.
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References
O. Richmond and M. L. Devenpeck,Proc. 4 th U.S. Natn. Cong. Appl. Mech., 1053 (1962).
O. Richmond and H. L. Morrison,J. Mech. Phys. Solids,15, 195 (1967).
O. Richmond,Mechanics of Solid State, Univ. of Toronto Press, 154 (1968).
R. Hill,J. Mech. Phys. Solids,15, 223 (1967).
H. A. Wienecke and O. Richmond,J. Appl. Mech., (accepted).
K. Chung and O. Richmond,J. Appl. Mech.,61, 176 (1994).
K. Chung and O. Richmond,Int. J. Plasticity,9, 907 (1993).
K. Chung and O. Richmond,Int. J. Mech. Sci.,34, 617 (1992).
F. Barlat, K. Chung, and O. Richmond,Metallurgical and Materials Trans.,25A, 1209 (1994).
K. Chung, F. Barlat, J. C. Brem, D. J. Lege, and O. Richmond,Int. J. Mech. Sci.,39, 105 (1997).
O. Richmond and K. Chung,Int. J. Mech. Sci.,42, 2455 (2000).
K. Chung, J. W. Yoon, and O. Richmond,Int. J. Plasticity,16, 595 (2000).
A. Nadai, “Theory of Flow and Fracture of Solids”, Vol. 2, pp.96, McGraw-Hill, New York, 1963.
R. Hill,J. Mech. Phys. Solids,34, 511 (1986).
K. Chung and O. Richmond,Int. J. Mech. Sci.,34, 575 (1992).
O. Richmond and S. Alexandrov,J. Mech. Phys. Solids,48, 1735 (2000).
K. Chung, W. Lee, and W. R. Yu,J. Korean Fiber Soc.,39, 407 (2002).
K. Chung, W. Lee, and O. Richmond,Int. J. Plasticity, (submitted).
S. Alexandrov, private communication, (2001).
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Chung, K., Lee, W., Kang, T.J. et al. Nonsteady plane-strain ideal forming without elastic dead-zone. Fibers Polym 3, 120–127 (2002). https://doi.org/10.1007/BF02892628
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DOI: https://doi.org/10.1007/BF02892628