Nonlocal Continuum Damage/Plasticity Model for Impulse‐Loaded RC Beams

Abstract

In this paper, a rate‐independent constitutive model for plain concrete is proposed for application to the analysis of impulse‐loaded structural members. The model combines a continuum damage approach, using a scalar damage variable, with a pressure‐sensitive plasticity model. The plasticity model incorporates a nonassociated flow rule in regions of low compressive or tensile hydrostatic pressures and an associated flow rule elsewhere; the possibility of energy generation through use of a nonassociated flow rule is avoided through modification of the flow rule relations. Strain softening is also included and the deleterious side effects (i.e., mesh dependency and unreasonable energy dissipation) are avoided through use of a nonlocal definition of the damage parameter. The concrete model is combined with a uniaxial steel model and a layered, large‐strain, Timoshenko beam element to perform the analysis of impulse‐loaded, simply supported, reinforced‐concrete beams.