Bifurcation of Steel Specimens

  • Kiyohiro Ikeda
  • Kazuo Murota
Part of the Applied Mathematical Sciences book series (AMS, volume 149)


The failure of a steel specimen subjected to uniform tensile loading has been ascribed to plastic bifurcation. On the basis of Hill’s theory of the uniqueness and stability of solutions of elastic—plastic solids (Hill, 1958 [68]), Hill and Hutchinson, 1975 [69] developed the theory on the plastic bifurcation as the direct bifurcation from a uniform state. Computational studies have also been conducted to simulate the direct bifurcation leading to shear-band formation (Tvergaard, Needleman, and Lo, 1981 [182]; Tvergaard and Needleman, 1984 [181]; Petryk and Thermann, 1992 [148]).


Shear Band Steel Specimen Effective Plastic Strain Diffuse Necking Secondary Bifurcation 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Kiyohiro Ikeda
    • 1
  • Kazuo Murota
    • 2
  1. 1.Department of Civil EngineeringTohoku UniversityAoba SendaiJapan
  2. 2.Department of Mathematical InformaticsUniversity of TokyoTokyoJapan

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