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O. Richmond (1968)
Theory of Streamlined Dies for Drawing and Extrusion
private communication S. Alexandrov (2001)
S. Alexandrov, private communication, (2001).
O. Richmond, K. Chung (2000)
Ideal stretch forming for minimum weight axisymmetric shell structuresInternational Journal of Mechanical Sciences, 42
O. Richmond, H. Morrison (1967)
Streamlined wire drawing dies of minimum lengthJournal of The Mechanics and Physics of Solids, 15
F. Barlat, K. Chung, O. Richmond (1994)
Anisotropic plastic potentials for polycrystals and application to the design of optimum blank shapes in sheet formingMetallurgical and Materials Transactions A, 25
K. Chung, J. Yoon, O. Richmond (2000)
Ideal sheet forming with frictional constraintsInternational Journal of Plasticity, 16
W. Lee K. Chung
K. Chung, W. Lee, and O. Richmond,Int. J. Plasticity, (submitted).
R. Hill (1967)
Ideal forming operations for perfectly plastic solidsJournal of The Mechanics and Physics of Solids, 15
K. Chung, F. Barlat, J. Brem, D. Lege, O. Richmond (1997)
Blank shape design for a planar anisotropic sheet based on ideal forming design theory and FEM analysisInternational Journal of Mechanical Sciences, 39
K. Chung, O. Richmond (1994)
The Mechanics of Ideal FormingJournal of Applied Mechanics, 61
A. Nádai (1950)
Theory of flow and fracture of solids
R. Hill (1986)
Extremal paths of plastic work and deformationJournal of The Mechanics and Physics of Solids, 34
K. Chung, O. Richmond (1992)
Ideal forming. II : Sheet forming with optimum deformationInternational Journal of Mechanical Sciences, 34
O. Richmond, S. Alexandrov (2000)
Nonsteady planar ideal plastic flow: general and special analytical solutionsJournal of The Mechanics and Physics of Solids, 48
K. Chung, O. Richmond (1992)
Ideal forming—I. Homogeneous deformation with minimum plastic workInternational Journal of Mechanical Sciences, 34
K. Chung, O. Richmond (1993)
A deformation theory of plasticity based on minimum work pathsInternational Journal of Plasticity, 9
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.
Fibers and Polymers – Springer Journals
Published: Sep 1, 2002
Keywords: Rigid-perfect plasticity; Nonsteady bulk forming; Characteristic method; Orthogonal convective coordinate system
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