Dissipative Homogenised Reinforced Concrete (DHRC) constitutive model dedicated to reinforced concrete plates under seismic loading

Abstract

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. Reinforced Concrete, is expressed within the usual thin plate kinematics framework. It is built by a periodic homogenisation approach using the averaging method and it couples concrete damage and periodic debonding between steel rebar and surrounding concrete. The generality of the proposed method leads to a generic closed-form for the Helmholtz strain energy density function and the two dissipation pseudo-potentials that can be adapted to any material with an internal structure similar to the RC structural element one. A restricted number of geometric and material characteristics are needed from which the whole set of model parameters are identified through an automatic numeric procedure performed on a Representative Volume Elements (RVEs) of the RC plate. Finally, comparisons of finite element simulations with experimental results concerning the seismic behaviour of reinforced concrete wall made structures are proposed and discussed.

Stress resultant nonlinear constitutive model for cracked reinforced concrete panels

“…The solution of the five equations system (4-17), using definitions (4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19) and , defines the stress resultant N and the two components of the concrete stress at cracks g as a function of the generalized strain and the internal variables describing the retained physical phenomena.…”

“…This type of model formulation ensures a high degree of robustness and versatility to any dynamic load case that can occur during an RC building FE analysis and has shown good performances when applied to plain concrete [24]. GLRC_DM [20] and DHRC [5,6] are two RC plate nonlinear constitutive models of this type implemented in the Code_Aster FE software [8]. The first one consists in a damage model while the latter couples irreversible strains (induced by steel rebar debonding) with concrete damage.…”

“…The nine equations system necessary to determine the nine unknowns of the localization problem (the three plane-stress tensor components for each of the three components of the RVE) is obtained using the two concrete equilibrium equations (4-10), the three equations resulting for the stress averaging adapted to the geometry of the RVE (4-4), and the four equations coming from the constitutive hypothesis of steel bars, which are supposed to carry stresses only in their longitudinal direction, see (3)(4)(5)(6)(7)(8)(9):…”

“…In a similar way, the strain fields of the steel bars e sx and e sy are obtained by applying the steel constitutive law (3-9) to the local stress fields (4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14), with the assumption (ensured by the threshold function defined in Section 5.3.4) that the steel behaves elastically between two successive cracks:…”

Main Achievements of the Multidisciplinary SINAPS@ Research Project: Towards an Integrated Approach to Perform Seismic Safety Analysis of Nuclear Facilities

“…EDF, for its part, confirmed its practice of 2D plate models and assessed the capabilities of the constitutive models previously developed in Code_Aster. These were homogenized models of reinforced concrete plates, as GLRC_DM (Markovic et al 2007) and DHRC (Combescure et al 2015), with damage and irreversible strains (associated to the steelconcrete bond). Although these models were developed prior to the start of the SINAPS@ project, this project consolidated many aspects: implementation of identification tools to help the engineer, validation, and robustness enhancement.…”