A new higher-order elastoplastic beam model for reinforced concrete

Abstract

The present paper introduces a new elastoplastic beam model for reinforced concrete based on a higher-order beam model previously developed [1]. Steel and concrete are both defined as elastoplastic materials. The beam model represents the concrete body whereas rebars are given a specific discretization. A Rankine criterion is used for concrete in both tension and compression, and a closed-form solution for the local projection of the trial stress on the yield surface is formulated. Steel rebars are modelled with 1D bar elements and added to the global stiffness of the concrete beam model. The kinematics of the higher-order beam model is enriched by a systematic method with displacement modes. This extension of the kinematics leads to local accuracy and yields results comparable to 3D computations. The present reinforced concrete model is validated through a set of case studies. Implemented within the software programs of the company Strains Engineering, the objective is to develop a fast computing and efficient model that can be directly used by engineers.

Semi-analytical solution for elastoplastic deflection of prismatic fixed-end beams with circular cross-section

“…By substituting such values of h into equation (10), the curvature of each subsegment of the plasticised region of the fixed-end beam is defined for each discrete value of the bending moment in the critical cross-section (M).…”

“…7 Research has covered the influence of the inclined load on the large deflection of elastoplastic cantilever rectangular beams. 8 Higher-order beam element has been improved for elastoplastic analysis of Faculty of Civil Engineering and Architecture, University of Nis ˇ, Nis ˇ, Serbia cantilever beams with various cross-sections, 9 as well as for the elastoplastic analysis of reinforced concrete beams with various cross-sections and boundary conditions. 10 Elastoplastic deflection of cantilever beams has been mostly analysed, while in the case of fixed-end beams research has been directed towards the elastoplastic analysis of rectangular beam under reversed loadings 11 and elastic-perfectly plastic analysis of thin-walled fixed end beam via refined beam models.…”

“…7 Research has covered the influence of the inclined load on the large deflection of elastoplastic cantilever rectangular beams. 8 Higher-order beam element has been improved for elastoplastic analysis of cantilever beams with various cross-sections, 9 as well as for the elastoplastic analysis of reinforced concrete beams with various cross-sections and boundary conditions. 10…”

“…8 Higher-order beam element has been improved for elastoplastic analysis of cantilever beams with various cross-sections, 9 as well as for the elastoplastic analysis of reinforced concrete beams with various cross-sections and boundary conditions. 10…”

Civil engineering applications of the Asymptotic Expansion Load Decomposition beam model: an overview

“…where 𝜖 𝛼𝛽 is the permutation operator: 𝜖 11 = 𝜖 22 = 0, 𝜖 12 = +1, 𝜖 21 = −1. Then, under compatibility conditions (11), the solution is uniquely defined up to the following rigid motion of the section in its plane:…”