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On adiabatic shear bands in rigid-plastic materials

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Summary

An analysis is made of a solution obtained by Coleman and Hodgdon in their theory of strain localization in rigid-plastic materials that soften on deformation. It is observed that the solution implies that certain properties of the strain distribution across a shear band should be essentially independent of material parameters and stress level. Among the implications of this type is a general relation which one can use to express the strain at the center of a shear band in terms of the mean strain in the band and the strain outside the band. Theoretical temperature and displacement fields are compared with experimental observations of shear-band formation reported by Costin, Crisman, Hawley, and Duffy for torsional deformation of cold rolled mild steel at ballistic rates.

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Authors and Affiliations

  1. Department of Mechanics and Materials Science, Rutgers University, P.O. Box 909, 08854, Piscataway, NJ, U.S.A.

    B. D. Coleman

  2. Department of Mathematics, Carnegie Mellon University, 15213, Pittsburgh, PA, U.S.A.

    D. C. Newman

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  1. B. D. Coleman
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  2. D. C. Newman
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Coleman, B.D., Newman, D.C. On adiabatic shear bands in rigid-plastic materials. Acta Mechanica 78, 263–279 (1989). https://doi.org/10.1007/BF01179222

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  • DOI: https://doi.org/10.1007/BF01179222

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