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Instability of plastic flow in the directions of pure shear: I. Theory

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Abstract

The localization of plastic flow (plastic instability) is a prelude to fracture initiation. Prior treatments are based mainly on the phenomenon of necking (load maximum) which has for its basis fluctuations in cross-sectional area. A second basic mode of localization has been confirmed experimentally. This is the localization of flow within a plastic zone along characteristic directions (direction of pure shear or zero extensional strain). The localization is effected by the activation of tangential velocity discontinuities along the characteristics. A necessary condition is that the material simulate the ideal plastic state. The conditions for this second mode of localization are formulated. A general condition for instability involving both modes is derived. In situations in which both modes are possible, necking is always expected to precede the localization along characteristics.

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Authors and Affiliations

  1. Metals and Ceramics Division, Air Force Materials Laboratory, Wright-Patterson AFB, Ohio

    Amiya K. Chakrabarti

  2. The Ohio State University, USA

    Joseph W. Spretnak (Earl M. Tilton Professor of Mechanical Metallurgy)

Authors
  1. Amiya K. Chakrabarti
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  2. Joseph W. Spretnak
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Formerly with Metals and Ceramics Laboratory, Aerospace Research Laboratories, Wright-Patterson AFB

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Chakrabarti, A.K., Spretnak, J.W. Instability of plastic flow in the directions of pure shear: I. Theory. Metall Trans A 6, 733–736 (1975). https://doi.org/10.1007/BF02672293

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  • DOI: https://doi.org/10.1007/BF02672293

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