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Bending of a thin strip by a circular tool

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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.

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References

  1. V. P. Romanovskii, Handbook of Cold Forging (Mashinostroenie, Moscow, 1979) [in Russian].

    Google Scholar 

  2. V. T. Meshcherin, Sheet Stamping. Scheme Atlas (Mashinostroenie, Moscow, 1975) [in Russian].

    Google Scholar 

  3. E. N. Moshnin, Bending and Straightening Machines (Mashgiz, Moscow, 1956) [in Russian].

    Google Scholar 

  4. A. D. Tomlenov, Theory of Plastic Strain of Metals (Metallurgiya, Moscow, 1972) [in Russian].

    Google Scholar 

  5. W. Johnson and P. B. Mellor, Engineering Plasticity (Van Nostrand Reinhold, London, 1975; Mashinostroenie, Moscow, 1979).

    Google Scholar 

  6. V. V. Sokolovskii, Theory of Plasticity (Vysshaya Shkola, Moscow, 1969) [in Russian].

    Google Scholar 

  7. M. Yang and S. Shima, “Simulation of Pyramid Type Three-Roll Bending Process,” Intern. J. Mech. Sci. 30(12), 877–886 (1988).

    Article  Google Scholar 

  8. S. I. Oh and S. Kobayashi, “Finite analysis of plane strain sheet bending,” Intern. J. Mech. Sci. 22(9), 583–594 (1980).

    Article  MATH  Google Scholar 

  9. A. Makinouchi, “Elastic-Plastic Stress Analysis of U-Bend Process of Sheet Metal,” Adv. Technol. of Plasticity 1, 672–677 (1984).

    Google Scholar 

  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).

    Google Scholar 

  11. C. G. Broyden, “A Class Methods for Solving Nonlinear Simultaneous Equations,” Math. Comput. 19(92), 577–593 (1965).

    Article  MATH  MathSciNet  Google Scholar 

  12. J. E. Dennis and R. B. Shnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentis-Hall, Englewood Cliffs, New Jork, 1983).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Moscow State Technical University “Stankin”, Vadkovskii per. 3a, K-55, Moscow, 127944, Russia

    R. I. Nepershin

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  1. R. I. Nepershin
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Correspondence to R. I. Nepershin.

Additional information

Original Russian Text © R. I. Nepershin, 2007, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2007, No. 4, pp. 83–99.

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Nepershin, R.I. Bending of a thin strip by a circular tool. Mech. Solids 42, 568–582 (2007). https://doi.org/10.3103/S0025654407040103

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  • DOI: https://doi.org/10.3103/S0025654407040103

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