On adiabatic shear bands in rigid-plastic materials

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