Fluid Model of Crystal Plasticity

Numerical Simulations of 2-turn Equal Channel Angular Extrusion

Abstract

Considering severe plastic deformation experiments as a motivation, the plastic behaviour of crystalline solids is treated as a flow of a highly viscous, compressible material. Starting from classical single crystal hypothesis we present a purely Eulerian set of equations describing flow of a plastic material. Moreover, we provide a thermodynamic justification of the evolution of the Cauchy stress based on the Gibbs potential. Numerical simulations for a 2-turn equal channel angular extrusion are reported.