An energy-based localization theory: II. Effects of the diffusion,inertia, and dissipation numbers |
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| Institution: | 1. Department of Chemical Engineering, University of Patras, Caratheodory 1, Patras 26504, Greece;2. Department of Chemistry, University of Patras, Caratheodory 1, Patras 26504, Greece;1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. School of Civil and Resource Engineering, University of Western Australia, Crawley, WA, Australia;3. Carbon Resource Department, Idaho National Laboratory, Idaho Falls, ID, USA;4. Shell Exploration & Production Company, Houston, TX, USA |
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| Abstract: | The basic framework for an energy-based theory of localization in dynamic viscoplasticity was recently developed by Cherukuri and Shawki 1994]. In this framework, the total kinetic energy serves as a single parameter for the characterization of the full localization history. A characteristic evolution profile of the kinetic energy was shown to correspond to a localizing deformation. Here, the energy-based characterization of localization is implemented toward the improved understanding of the mechanics of shear band formation. In particular, the influence of three primary dimensionless groups on localization is examined. These groups are referred to as the inertia number, the diffusion number, and the dissipation number. The limits of applicability of the quasistatic assumption as well as the adiabatic deformation assumption are also addressed. Computational evidence indicates that the dissipation number plays a significant role in determining the material localization sensitivity. |
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