Numerical simulation of non-adiabatic shear banding in metal forming process using finite element method

Non-adiabatic shear band can be observed in some metal forming processes. The heat dissipated on the material boundary may affect both the propagation and the intensity of shear band. In the context of the finite deformation coupled thermal-mechanical theory, a finite element formulation is proposed based on the multiplicative decomposition of the deformation gradient and mixed interpolation of the displacement/pressure. To demonstrate the thermal-mechanical effect of heat dissipation, a numerical simulation of non-adiabatic shear banding in a plane-strain side pressing process has been performed. In the investigation, the boundary energy dissipation due to heat convection has been taken into account. From the numerical result, it has been observed that the mixed finite element method exhibits a good performance to capture the non-adiabatic shear banding by incorporating the thermomechanical effects. The distribution of the equivalent plastic strain and the temperature field obtained from the simulation indicate that the intensity of non-adiabatic shear band is related to the boundary energy dissipation.