This paper presents a constitutive model for concrete in high-rate dyn
amics. The main feature outlined in this paper concerns the modeling o
f strength enhancement due to rate effects at the macrolevel of materi
al description. It is accounted for in the constitutive modeling of st
rain and stresses within the theory of elastoplasticity by extending t
he classical plastic model to viscous hardening plasticity. Rate effec
ts are associated with a viscous phenomenon occurring within the pores
of concrete. The model is worked out in a thermodynamic framework whi
ch allows to account for couplings between viscous and plastic evoluti
ons. The determination of the material parameters associated with the
viscous phenomenon is achieved by using available data from dynamic di
rect tensile tests. By way of example, the three-parameter Willam-Warn
ke plasticity criterion is adapted to account for isotropic viscous ha
rdening. Finally, some applications are shown to illustrate the capabi
lities of the model to capture the basic features of concrete behavior
in high-rate dynamics, with a minimum of material parameters of clear
physical significance and accessible by existing material tests.