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A New Analytical Model of Necking Phenomenon

  • Zhen-bang Kuang
  • Ning Su
  • Zhong-hua Li
Conference paper

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.

Keywords

Titanium Alloy Stress Strain Curve Ultimate Strain Finite Element Program True Stress Strain Curve 
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References

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    Needleman, A., J. Mech. Phys. solids, 20, 1972, 111–127.ADSMATHCrossRefGoogle Scholar
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    Miran, Saje, Int. J. Solids and Struct. 15, 1979, 731–742.CrossRefGoogle Scholar
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    Shi, Yao-wu and Barnby, J.T., Acta Metall. 20, 1984, A17-A33 (in China).Google Scholar
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    Bridgman, P. W., Studies in Large Plastic Flow and Fracture, Harvard University Press, 1964.Google Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • Zhen-bang Kuang
    • 1
  • Ning Su
    • 1
  • Zhong-hua Li
    • 1
  1. 1.Department of Engineering MechanicsXi’an Jiaotong UniversityXi’anChina

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