A Numerical Simulation of Adiabatic Shear Bands Formation in Hollow Cylinder

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Abstract
The process of torsion deformation of a hollow cylinder is considered. The mathematical model describing this process is formulated. Numerical algorithm which allows one to simulate the fully localized plastic flow is proposed. The influence of the geometrical parameters of the problem of plastic flow localization is studied. The limiting case when the problem of torsion deformation of a hollow cylinder transforms to the plane problem of deformation of infinite slab is considered. An influence of cylinder size to the formation of adiabatic shear bands is considered. It is shown that declining of inner size of cylinder results to a significant change of solution and displacement of localization area to the inner surface of a hollow cylinder.

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