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Thin shear boundary layers in flow of hot aluminium

2000, International Journal of Plasticity

Abstract

The¯ow of hot aluminium in channels is investigated. The constitutive relation considered for the¯ow stress is the inverse hyperbolic sine function of the Zener±Hollomon parameter. Analytical solutions for the¯ow are derived. At high strain rates, an exponential velocity pro®le close to the channel walls is predicted indicating the existence of a thin shear boundary layer characterized by strong shear. The characteristic length scale for the exponential velocity pro®le is a function of material parameters in the constitutive relation and the inverse of the local pressure gradient. The analytical prediction of a thin shear boundary layer close to the channel walls for large strain rates is consistent with the observed microstructure in an extruded section.