抄録
Plane-strain dynamic flow localization in tension blocks under a wide range of deformation rates has been investigated numerically. The material is characterized by a thermo-elasto-viscoplastic constitutive equation with strain-gradient-dependent flow stress. The mixed type variational principle for the corresponding materials is developed to satisfy this continuity requirement of the higher-order derivative of velocity. In this variational principle, the velocity and representative strain rate are regarded as independent variables. The finite element method developed using the variational principle has been employed to explore the effects of deformation rate applied, and shape and size of the blocks on the flow localization behavior.
