Force-based finite element formulation for nonlinear behaviour of reinforced concrete frames

Hippola, H. M. S. S.; Wijesundara, K. K.

doi:10.1007/s41062-020-00413-9

Cited by 2 publications

(3 citation statements)

References 24 publications

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“…A FB fiber element formulation for the analysis of RC frames was initially proposed by Hippola et al 37,38 considering only the axial-flexure interaction. This was later extended for the analysis of shear critical planar frames under monotonic loading.…”

Section: Fb Fiber Element Formulationmentioning

confidence: 99%

Effects of sectional kinematic constraints in fiber element formulations on the load‐deformation response of reinforced concrete elements

Lamawansa

Hippola

Wijesundara

2022

Structural Concrete

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Developing numerical tools for reinforced concrete elements accounting for the axial-flexure-shear interaction is important as their brittle failures may lead to a complete collapse of structures. Among the different numerical tools available, fiber element formulations are enforced with kinematic constraints for the sectional strain fields. This study aims to investigate the impact of such kinematic constraints in fiber element formulations towards the response of reinforced concrete elements. A series of beams selected from literature was analyzed using available numerical tools, and the global and local responses were compared. In the postcracking branch, the fiber element formulations result in an underestimation of the shear strain distribution in the tensile zone which leads to an overprediction of the postcracking stiffness. In addition, the load carrying capacity and failure mode predictions of the fiber element formulations were proved to be accurate despite the underestimation of shear strains in the tensile zone.

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Section: Fb Fiber Element Formulationmentioning

confidence: 99%

Effects of sectional kinematic constraints in fiber element formulations on the load‐deformation response of reinforced concrete elements

Lamawansa

Hippola

Wijesundara

2022

Structural Concrete

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“…In addition to displacement‐based elements, force‐based formulations have also been proposed for RC frame structures. Initially, these formulations aimed at capturing the M‐N interaction under general loading conditions, including post‐peak ductility and softening 15–24 . Later, Remino 25 and Mohr et al 26 made efforts to develop force‐based finite element formulations to capture M‐N‐V interaction, employing constitutive models proposed by Rose 27 and Bairan and Mari 28 respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Initially, these formulations aimed at capturing the M-N interaction under general loading conditions, including post-peak ductility and softening. [15][16][17][18][19][20][21][22][23][24] Later, Remino 25 and Mohr et al 26 made efforts to develop force-based finite element formulations to capture M-N-V interaction, employing constitutive models proposed by Rose 27 and Bairan and Mari 28 respectively. However, these formulations do not directly evaluate explicit sectional equilibrium.…”

Section: Introductionmentioning

confidence: 99%

A force‐based fiber beam‐column element to predict moment‐axial‐shear interaction of reinforced concrete frames

Hippola

Rajapakse

Mihaylov

et al. 2021

Structural Concrete

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The nonlinear analysis of large complex reinforced concrete (RC) frame structures with shear-critical members requires numerical approaches that combine high accuracy and computational efficiency. At the same time, existing modeling approaches either involve detailed and costly discretization of the deformations in the frame members (displacement-based approaches), or compromise on accuracy by greatly simplifying (or even neglecting) shear effects. This paper presents a novel nonlinear force-based fiber beam-column element that addresses both these challenges. The element is capable of capturing the complex moment-axial-shear interaction response of planar RC frames and walls, while at the same time requiring minimum discretization. The proposed formulation consists of two nested iterative procedures at the structure and sectional levels. The introduction of the sectional level procedure explicitly satisfies sectional equilibrium, which is not achieved in either existing displacement or force-based line element formulations. As a result, a stable convergence of all average strain, local crack strain, and slip strain components of the constitutive relationship is ensured. The efficiency and accuracy of the proposed element formulation is illustrated with the help of beam and frame tests from the literature.

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Force-based finite element formulation for nonlinear behaviour of reinforced concrete frames

Cited by 2 publications

References 24 publications

Effects of sectional kinematic constraints in fiber element formulations on the load‐deformation response of reinforced concrete elements

Effects of sectional kinematic constraints in fiber element formulations on the load‐deformation response of reinforced concrete elements

A force‐based fiber beam‐column element to predict moment‐axial‐shear interaction of reinforced concrete frames

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