Abstract: Shear bands are narrow zones that appear in the high-speed shear deformations of metals. The shear deformation and the heat accumulation can give rise to the positive feedback instability. To
understand this non-linear phenomenon, we study 1-dimensional thermo-visco-plastic flow, which describes a specimen in xy-plane shearing in a y-direction. The orderly nature of the instability is conceived by the comparable effects of the loss of hyperbolicity and the diffusive mechanism. Two-parameters focusing self-similar solutions are constructed with aid of techniques in dynamical systems.
Two-parameters family of focusing self-similar solutions in diabatic shear deformation of therom-visco-plastic materials
03.05.2017 09:00 - 11:00
Organiser:
U. Stefanelli
Location: