On a volume averaged measure of macroscopic reinforcement slip in two‐scale modeling of reinforced concrete

Abstract

SUMMARY A two‐scale model for reinforced concrete, in which the large‐scale problem formulation is enriched by an effective reinforcement slip variable, is derived from the single‐scale model describing the response of plain concrete, reinforcement steel, and the bond between them. The subscale problem on the representative volume element (RVE) is correspondingly defined as finding the response of the RVE subjected to effective variables (strain, slip, and slip gradient) imposed from the large scale. A novel volumetric definition of effective reinforcement slip and its gradient is devised, and the corresponding subscale problem is formulated. The newly defined effective variables are imposed on the RVE in a weak sense using Lagrange multipliers. The response of the RVEs of different sizes was investigated by means of pull‐through tests, and the novel boundary condition type was used in FE2 analyses of a deep beam. Locally, prescribing the macroscopic reinforcement slip and its gradient in the proposed manner resulted in reduced RVE‐size dependency of effective work conjugates, which allows for more objective description of reinforcement slip in two‐scale modeling of reinforced concrete. Globally, this formulation produced more consistent amplitudes of effective slip fluctuations and more consistent maximum crack width predictions.

Numerical Investigation of a Local Precise Reinforcement Method for Dynamic Stability of Rock Slope under Earthquakes Using Continuum–Discontinuum Element Method

“…Liu et al used physical model experiments to study the deformation characteristics and evolution mechanisms of reservoir landslides and pile systems under the action of reservoir water [21]. At present, there are many slope reinforcement measures available, but they can be summarized into the following categories: load reduction measures, drainage and water interception measures, anchorage measures, concrete shear structure measures, retaining measures and slope pressure measures [22][23][24]. A reasonable reinforcement scheme can not only improve the reliability of landslide disaster prevention, but also save costs to a large extent and improve the efficiency of construction and prevention [25,26].…”

Experimental and numerical research on the bond‐slip behavior of square‐rebar reinforced concrete during the republic of China (1912–1949)

“…5 Then, a multiscale simulation of reinforced concrete was studied considering the bond-slip properties. 6 Zou, et al, 7 used the finite difference method and neural network method to predicte the load of concrete nodes using the trilinear bond-slip model. Taking corroded rebar as a research object, research on the bond-slip behavior of recycled concrete and ultrahigh toughness cement-based composite materials was carried out.…”