Elastic–Plastic Dynamic Damage Constitutive Model of Cement-Stabilized Steel Slag

Abstract

On the basis of elastic–plastic theory and generalized Hooke’s law, and with the rate effect and random damage characteristics of cement-stabilized steel slag taken into consideration, an elastic–plastic dynamic damage constitutive model of cement-stabilized steel slag under a complex stress state was established in this paper. In the aspect of damage deterioration, the damage evolution equation of cement-stabilized steel slag was established by using statistical theory and introducing the concepts of damage threshold and equivalent plastic strain. With the influence of pore water pressure on materials taken into consideration, Terzaghi’s effective stress principle was introduced and the effective stress expression was modified based on the characteristics of cement-stabilized steel slag. With the existence of the ultimate dynamic strength of brittle materials, the S-type dynamic strength criterion of cement-stabilized steel slag was established based on this property. The explicit integral stress return algorithm of the elastic–plastic dynamic damage constitutive model of cement-stabilized steel slag was derived through elastic–plastic theory, and the solving program of the elastic–plastic dynamic damage constitutive model of cement-stabilized steel slag was developed by using the subroutine interface vectorized user defined material (VUMAT) provided by ABAQUS.