The traditional Holmquist-Johnson-Cook (HJC) constitutive model does not consider the effect of crack resistance, reinforcement and toughening effect of high parameter steel fiber on original concrete. The causes of the analysis effect of the high parameter reinforced concrete is not obvious. To address this problem, a dynamic constitutive model of high parameter steel fiber reinforced concrete is built in this paper. Based on the static constitutive model built by static force, a dynamic constitutive model is built based on the similarity between static and dynamic stress-strain curve. On this basis, the yield surface equation, state equation, and damage evolution equation of HJC constitutive model are constructed. An improved HJC constitutive model for high parameter steel fiber reinforced concrete is obtained by introducing the modification of the steel fiber reinforced, toughened, and strain rate effects into the HJC constitutive model. Dynamic analysis of high parameter steel fiber reinforced concrete is achieved by using the improved model. Experimental results show that the proposed model is effective in analyzing high parameter concrete and has strong applicability.Symmetry 2019, 11, 377 2 of 14 and high strain rate. Due to it can describe the damage, fragmentation and spalling of concrete under high speed impact, it has been widely used in numerical simulation [12]. In this paper, based on the HJC constitutive model, the finite element analysis method for the dynamic constitutive model of high parameter steel fiber concrete is proposed in consideration of crack resistance, reinforcement, and toughening effect of high parameter steel fiber on original concrete.
Dynamic Constitutive Model Built by Static ForceThe dynamic constitutive model built by static force is based on static constitutive model and combined with the similarity between stress-strain curves of static and dynamic forces. The dynamic constitutive model built by static force does not consider the strain rate effect of concrete [13], and the parameters selected are relatively few, which is more convenient in the fitting process. However, the consistency of this kind of constitutive model is slightly deficient. In this paper, the dynamic damage constitutive model is introduced.For the static constitutive model, the Brooks damage constitutive model is used, as shown in Figure 1.Symmetry 2018, 10, x FOR PEER REVIEW 2 of 15 and high strain rate. Due to it can describe the damage, fragmentation and spalling of concrete under high speed impact, it has been widely used in numerical simulation [12]. In this paper, based on the HJC constitutive model, the finite element analysis method for the dynamic constitutive model of high parameter steel fiber concrete is proposed in consideration of crack resistance, reinforcement, and toughening effect of high parameter steel fiber on original concrete.