Stress-Strain Relation Laws for Concrete and Steel Reinforcement Used in Non-Linear Static Analytical Studies of the Moment Resisting Reinforced Concrete (RC) Frame Models

Abstract

Following the previous analytical studies performed with ATENA software for a series of RC moment resisting frame models, it were used in the pre-processing stage the stress-strain relation laws for concrete and steel reinforcement. These mathematical and graphical relations represent a necessity in the current conditions of numerical analysis and imply a correct knowledge of the deformation mode of the „reinforced concrete” which is a composite material. Thus, it is desired through this research paper the theoretical exposition of: equivalent uniaxial law for concrete, biaxial compressive failure and tensile failure consideration laws for concrete, bilinear with hardening law for steel reinforcement, cycling steel reinforcement model and steel reinforcement bond model. Finally, it will be possible to validate the correctness of the analytical RC frame systems through the experimental results of the optimal RC frame model after seismic platform testing.

Analytical Study Regarding the Seismic Response of a Moment-Resisting (MR) Reinforced Concrete (RC) Frame System with Reduced Cross Sections of the RC Beams

“…Within a complex (research) analytical study, carried out by Sococol et al [10][11][12][13][14][15] and performed with ATENA 3D computer software [16], the seismic response for a series of MR RC frame models, reduced at a scale of 1:2 according to similitude criteria (rules), was studied [17][18][19]. Within this study, the longitudinal reinforcement percentages of the beams and columns, the reinforcement percentages of the slabs, the transversal beam and slab sections, the concrete strength classes, etc., were all varied.…”

“…For each of the studied analytical models, the "discretization rules" [52,53] (see Figure 3e), "stress-strain relations for concrete" [14,[54][55][56][57][58][59] and "stress-strain laws for steel reinforcement" were observed and applied [14,[60][61][62][63].…”

Influence of the longitudinal steel ration in RC beams and steel reinforcement ration in RC slabs on the seismic energy dissipation mechanisms for a MR RC frame structure

“…General input data required for numerical analysis of the K_5, K_6, K_7 and K_8 MR RC frame models are the same as in research papers of Sococol et al [13], [15][16][17] (see Figure 5, Figure 6): i. the dimensions of the ½ scaled MR RC frame systems are: L=2.4 m, B=1.8 m; ii.…”

“…Thus, three analytical studies were performed using the "nonlinear static analysis procedure" [10] with ATENA software [11][12][13] having this research paper as finality of optimal experimental model establishing process (see Figure 4).…”

“…In all analytical studies, as in this research paper, "stress-strain curves for concrete and steel reinforcement with graphical representation of cyclic uniaxial concrete compression/ tension, biaxial compressive failure and tensile failure consideration laws for concrete, bilinear with hardening law for steel reinforcement, cycling steel reinforcement model and steel reinforcement bond model" [12][13][14], were used, in order to obtain correct analytical results.…”