This research paper presents a numerical procedure for predicting the nonlinear dynamic response of blast-loaded RC columns. A three-dimensional solid element and link element is used for spatial discretization of concrete and steel reinforcement, respectively. A summary of a rate- and history-dependent constitutive model is proposed for the progressive failure analysis of concrete under blast. The proposed model is an improved version of Riedel-Hiermaier-
Thoma (RHT) model and accounts for different materials nonlinearities and strain rate sensitivity in compression and
tension. The steel is modeled as a rate-dependent elasto-plastic material with strain hardening. The proposed model was
implemented in the computer program AUTODYN. An explicit time integration scheme is followed for the nonlinear
dynamic analysis. The proposed procedure was successfully used for predicting the dynamic response (failure modes,
deflection-time histories, and acceleration-time curves) of several blast-loaded RC columns, tested before in the literatures.