Rate dependent plastic–damage constitutive model of concrete

Abstract

Generally, on the plastic and damage constitutive model, the plasticity consistency condition of the yield function and the damage consistency condition of the damage evolution could not be satisfied when the effect of strain rates was taken into account. The viscoplastic strain was determined by the viscoplastic flow theorem. In this paper, the rate dependent consistency plastic–damage model of concrete is proposed by imposing the consistency condition for the yield function and the damage evolution criterion. The Drucker–Prager yield function and the damage evolution criterion proposed by the authors, taken into account the effect of strain rates on dynamic behaviours of concrete, are adopted. Based on these assumptions, the dynamic damage evolution equation and the constitutive model of concrete are deduced. Then, a numerical algorithm similar to Euler backward mapping schemes for rate independent plasticity is proposed by the authors to calculate the rate dependent plastic–damage model of concrete. Finally, the model is compared with the uniaxial tensile and compressive damage experimental results.

Keywords:

• Concrete
• Rate dependent
• Damage
• Plastic
• Constitutive model

This study was founded by the National Science Foundation of China under grant no. 50408030, the College Innovation Group of Liaoning Province under grant no. 2008T223 and the Fundamental Research Funds for the Central Universities under grant no. DUT10LK29.