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IssuesArchive of Issues2007-4pp.568-582

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R. I. Nepershin, "Bending of a thin strip by a circular tool," Mech. Solids. 42 (4), 568-582 (2007)
Year 2007 Volume 42 Number 4 Pages 568-582
Title Bending of a thin strip by a circular tool
Author(s) R. I. Nepershin (Moscow State Technical University “Stankin”, Vadkovskii per. 3a, K-55, Moscow, 127944, Russia, Rostislav_N@mtu-net.ru)
Abstract We present a model of transverse bending of a wide thin elastic, elastoplastic, or rigid-plastic strip by a circular tool in the case of large displacements. The bending of the initial rectilinear strip is modeled by small increments in the load on the tool with analysis of the forces, moments, curvature, and the midline equation. The final form of the strip and the residual stresses are determined after elastic unloading. The model describes technological operations of sheet slab bending in dies and on roller-bending machines.
References
1.  V. P. Romanovskii, Handbook of Cold Forging (Mashinostroenie, Moscow, 1979) [in Russian].
2.  V. T. Meshcherin, Sheet Stamping. Scheme Atlas (Mashinostroenie, Moscow, 1975) [in Russian].
3.  E. N. Moshnin, Bending and Straightening Machines (Mashgiz, Moscow, 1956) [in Russian].
4.  A. D. Tomlenov, Theory of Plastic Strain of Metals (Metallurgiya, Moscow, 1972) [in Russian].
5.  W. Johnson and P. B. Mellor, Engineering Plasticity (Van Nostrand Reinhold, London, 1975; Mashinostroenie, Moscow, 1979).
6.  V. V. Sokolovskii, Theory of Plasticity (Vysshaya Shkola, Moscow, 1969) [in Russian].
7.  M. Yang and S. Shima, "Simulation of Pyramid Type Three-Roll Bending Process," Intern. J. Mech. Sci. 30 (12), 877-886 (1988).
8.  S. I. Oh and S. Kobayashi, "Finite analysis of plane strain sheet bending," Intern. J. Mech. Sci. 22 (9), 583-594 (1980).
9.  A. Makinouchi, "Elastic-Plastic Stress Analysis of U-Bend Process of Sheet Metal," Adv. Technol. of Plasticity 1, 672-677 (1984).
10.  T. X. Yu , W. J. Stronge, and W. Johnson, Stamping and Springback of Plate Between Cylindrical Dies," Adv. Technol. of Plasticity 1, 599-604 (1984).
11.  C. G. Broyden, "A Class Methods for Solving Nonlinear Simultaneous Equations," Math. Comput. 19 (92), 577-593 (1965).
12.  J. E. Dennis and R. B. Shnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentis-Hall, Englewood Cliffs, New Jork, 1983).
Received 29 July 2004
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