Modified Microplane Model for Reinforced Concrete under Static and Dynamic Loadings

Abstract

A smeared dynamic constitutive model is proposed for reinforced concrete based on microplane Model M4, in which the modified Menegotto-Pinto model for steel was adopted and the strain rate effect was taken into account by introducing parallel moving of envelope line. The model was established based on the hypothesis that the strains of concrete and steel bars have parallel coupling. Then the contribution of steel to total stress tensor was derived by projecting the section area of steel bars to three orthogonal directions. This model was calibrated by fitting with the test data, and its validity was verified by simulating a bridge-ship collision application using LS-DYNA embedded with a user-defined material subroutine.