Abstract
A phenomenological model has been developed [4] which modifies the constitutive equations of a general continuum to include the dynamic dispersive effects of a an intrinsic characteristic length scale. The new terms in this model are nondissipative and they are characterized by a single material constant. Moreover, the modified model requires no additional initial or boundary conditions. Here, an example problem of dynamic simple shearing of a metal with a discontinuity in yield strength is considered to show how these new terms control strain localization. The results of the modified theory for a rate-independent plastic material are compared with those of a viscoplastic material with no intrinsic length scale.
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