Abstract
Abstract : A motivation for studying this problem stems from a program of understanding the phenomenon of shear band formation at high strain rates. Shear bands are narrow regions of intensely concentrated shearing deformation that are observed during the plastic deformation of many materials. The occurrence of shear bands is typically associated with strain softening type response, past a critical strain, of the measured average shear stress versus the measured average shear strain. Various mechanisms and associated continuum thermomechanics models, often depending of the particular context, have been proposed for the explanation of shear bands. A underlying common feature of several models is that they are regularizations of an ill-posed problem, or that the associated linearized problem exhibits growth of high frequency modes. (jg)
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