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Bifurcation and Postbuckling Analysis of Columns with Consideration of Pointwise Elastic-Plastic Deformation History

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Abstract

Plastic buckling of columns has received a great deal of attention in the past, but their deformation characteristics during postbifurcation has still not been fully understood. The historical example of a column compressed by a pair of force P at both ends is re-examined here to illustrate this fact. In the notion of von Karman [1], the compressive buckling would occur at a load level corresponding to reduced modulus Er.

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References

  1. Karman, von Th., Verein Deutscher Ingenieure, 81, 1910.

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  2. Shanley, F. R., J. Aero. Sci., 14, 261, 1947

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  3. Hutchinson, J. W., J. Mech. Phys. Solids, 21, 163, 1973.

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  4. Rabotnov, Yu. N., Inzh. Sbor., 11, 1952.

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© 1986 Springer Japan

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Cheng, L., Yang, W., Hwang, KC. (1986). Bifurcation and Postbuckling Analysis of Columns with Consideration of Pointwise Elastic-Plastic Deformation History. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_82

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_82

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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