Steady shearing in a viscoplastic solid (Q1086014)

Steady shearing solutions are found as quadratures within the context of a simple theory of viscoplasticity, which includes thermal softening and heat conduction. The solutions are illustrated by numerical examples for four commonly used versions of viscoplasticity, where each version has first been calibrated against the same hypothetical data set. It is found that, although they all predict qualitatively similar morophology, the four flow laws give results that differ in detail and one in particular differs substantially from the other three at the more extreme conditions. Although definitive data do not exist, there appears to be rough agreement with physical measurements of adiabatic shear bands. The conjecture is made that steady solutions correspond to central boundary layers for the full unsteady theory.