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Computational Mechanics ’86 pp 463–469Cite as

A New Analytical Model of Necking Phenomenon

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Summary

A finite element program based on elasto-plastic finite deformation theory is used to research the necking problem of titanium alloy. A new analytical model recommended in this paper is that an inclusion is first broken to form a void in the specimen, then neck is formed, void extendes and finally the specimen is broken. In the whole process the calculated and experimental nominal stress strain curves are coincided well. For the shape of neck a cubic curve is found more appropriate than the hyperbolic one.

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References

  1. Needleman, A., J. Mech. Phys. solids, 20, 1972, 111–127.

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  3. Shi, Yao-wu and Barnby, J.T., Acta Metall. 20, 1984, A17-A33 (in China).

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Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an, China

    Zhen-bang Kuang, Ning Su & Zhong-hua Li

Authors
  1. Zhen-bang Kuang
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  2. Ning Su
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  3. Zhong-hua Li
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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Cite this paper

Kuang, Zb., Su, N., Li, Zh. (1986). A New Analytical Model of Necking Phenomenon. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_61

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_61

  • 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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