AN ENERGY-BASED LOCALIZATION THEORY .2. EFFECTS OF THE DIFFUSION, INERTIA, AND DISSIPATION NUMBERS

The basic framework for an energy-based theory of localization in dyna mic viscoplasticity was recently developed by Cherukuri and Shawki [19 94]. In this framework, the total kinetic energy serves as a single pa rameter for the characterization of the full localization history. A c haracteristic evolution profile of the kinetic energy was shown to cor respond to a localizing deformation. Here, the energy-based characteri zation of localization is implemented toward the improved understandin g of the mechanics of shear band formation. In particular, the influen ce of three primary dimensionless groups on localization is examined. These groups are referred to as the inertia number, the diffusion numb er, and the dissipation number. The limits of applicability of the qua sistatic assumption as well as the adiabatic deformation assumption ar e also addressed. Computational evidence indicates that the dissipatio n number plays a significant role in determining the material localiza tion sensitivity.