Numerical Simulation of Adiabatic Shear Bands Formation in Composites

Abstract

The process of plastic flow localization under shear deformations of a composite material consisting from welded steel and copper is studied. A mathematical model describing this physical process is proposed. A new numerical approach based on Courant–Isaacson–Rees scheme is suggested. This algorithm was verified using three benchmark problems. Operability and effectiveness of this algorithm is confirmed. A numerical simulation of plastic flow localization in composite materials is performed. The influence on localization process of boundary conditions, of initial strain rate and materials width is studied. It is shown that at the initial stage the shear velocity of material layers oscillates. Theoretical estimates of frequency and oscillation period is given. Computational results coincide with these estimates. It is found that plastic flow localizes in the copper part of the composite. One or two areas of plastic flow localization appears depending on the width of steel and copper parts, as well as on the initial plastic strain rate and the selected type of a boundary conditions. The areas locate on characteristic distance from borders. The dependence of this distance and initial strain rate is shown and the corresponding estimates are obtained for two types of boundary conditions. When two areas of localization are formed, in one of them the temperature and the deformation increas faster than in another one.