Abstract
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]).
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© 2002 Springer Science+Business Media New York
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Ikeda, K., Murota, K. (2002). Bifurcation of Steel Specimens. In: Imperfect Bifurcation in Structures and Materials. Applied Mathematical Sciences, vol 149. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3697-7_14
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DOI: https://doi.org/10.1007/978-1-4757-3697-7_14
Publisher Name: Springer, New York, NY
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