On adiabatic shear bands in rigid-plastic materials |
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Authors: | B. D. Coleman D. C. Newman |
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Affiliation: | (1) Department of Mechanics and Materials Science, Rutgers University, P.O. Box 909, 08854 Piscataway, NJ, U.S.A.;(2) Department of Mathematics, Carnegie Mellon University, 15213 Pittsburgh, PA, U.S.A. |
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Abstract: | 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.With 3 Figures |
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