Influence of uniaxial tension and compression on shear strength of concrete slabs without shear reinforcement under concentrated loads

Bui, Tan Trung; Nana, W.S.A.; Abouri, Salim; Limam, Ali; Tedoldi, B.; Roure, T.

doi:10.1016/j.conbuildmat.2017.04.068

Cited by 15 publications

(15 citation statements)

References 15 publications

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“…The failure mechanism begins with flexural cracks that appeared at the bottom face along the transverse and longitudinal reinforcements, followed by cracks due to the two‐way shear slab mechanism (punching shear failure) with a perimeter crack surrounding the loading area, and eventually the pure shear failure along the line support which was quite brittle. Further information about the experiments pertaining to the experimental setup, material properties, crack patterns etc, can be found in Reference . The experimental setup and the results of the 3D SLA simulations are shown in Figure .…”

Section: Resultsmentioning

confidence: 99%

“…Subsequently, in Section 4 the proposed solution strategies are compared against a widely used parallel direct sparse solver (PARDISO), from a performance perspective, using two real‐life benchmarks. The first benchmark is that of a masonry wall tested for a quasi‐static lateral load in combination with an overburden load and the second is a reinforced concrete (RC) slab tested for a concentrated shear load, along with axial loads at the lateral faces . From the numerical studies, it follows that both the proposed methods perform significantly better than the direct solution method, especially for large 3D problems.…”

Section: Introductionmentioning

confidence: 99%

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Two solution strategies to improve the computational performance of sequentially linear analysis for quasi‐brittle structures

Pari

Swart

Gijzen

et al. 2020

Numerical Meth Engineering

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Summary Sequentially linear analysis (SLA), an event‐by‐event procedure for finite element (FE) simulation of quasi‐brittle materials, is based on sequentially identifying a critical integration point in the FE model, to reduce its strength and stiffness, and the corresponding critical load multiplier (λcrit), to scale the linear analysis results. In this article, two strategies are proposed to efficiently reuse previous stiffness matrix factorisations and their corresponding solutions in subsequent linear analyses, since the global system of linear equations representing the FE model changes only locally. The first is based on a direct solution method in combination with the Woodbury matrix identity, to compute the inverse of a low‐rank corrected stiffness matrix relatively cheaply. The second is a variation of the traditional incomplete LU preconditioned conjugate gradient method, wherein the preconditioner is the complete factorisation of a previous analysis step's stiffness matrix. For both the approaches, optimal points at which the factorisation is recomputed are determined such that the total analysis time is minimised. Comparison and validation against a traditional parallel direct sparse solver, with regard to a two‐dimensional (2D) and three‐dimensional (3D) benchmark study, illustrates the improved performance of the Woodbury‐based direct solver over its counterparts, especially for large 3D problems.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two solution strategies to improve the computational performance of sequentially linear analysis for quasi‐brittle structures

Pari

Swart

Gijzen

et al. 2020

Numerical Meth Engineering

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“…Slab ST4 in particular is reported to have a much smaller shear crack perimeter than slabs S2, because of having a steeper diagonal strut due to the applied axial tension, but those from the simulations do not differ much. However, the reported relative increase in the ductility of the slabs in the case of axial tensile loads (ST1‐ST4) is well captured in the SLA simulation of ST4.…”

Section: Validation Studies Against Experimental Benchmarksmentioning

confidence: 87%

“…Experimental crack patterns of the bottom face of (A) slabs S2, (B) SC2, (C) and ST4. The black dashed lines from the loading plates to the supports denote the diagonal strut that determines the effective width for shear strength estimation…”

Section: Validation Studies Against Experimental Benchmarksmentioning

confidence: 99%

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Non‐proportional loading in sequentially linear analysis for 3D stress states

Pari

Hendriks

Rots

2019

Numerical Meth Engineering

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Summary Sequentially linear analysis (SLA), a non‐incremental‐iterative approach towards finite element simulation of quasi‐brittle materials, is based on sequentially identifying a critical integration point in the model, to reduce its strength and stiffness, and the associated critical load multiplier (λcrit), to scale the linear analysis results. In this article, two novel methods are presented to enable SLA simulations for non‐proportional loading situations in a three‐dimensional fixed smeared crack framework. In the first approach, the cubic function in the load multiplier is analytically solved for real roots using trigonometric solutions or the Cardano method. In the second approach, the load multiplier is expressed as a function of the inclination of a potential damage plane and is deduced using a constrained optimization approach. The first method is preferred over the second for the validation studies due to computational efficiency and accuracy reasons. A three‐point bending beam test, with and without prestress, and an RC slab tested in shear, with and without axial loads, are used as benchmarks. The proposed solution method shows good agreement with the experiments in terms of force‐displacement curves and damage evolution.

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Punching‐shear strength of reinforced concrete slabs subjected to unidirectional in‐plane tensile forces

Fernández

Bernat

Oller

2020

Structural Concrete

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Some reinforced concrete slabs are subjected simultaneously to concentrated loads and unidirectional in-plane tensile forces. This the case of the top slab of a box girder bridge where hogging bending moments take place at the intermediate supports. Then, the in-plane tensile forces may reduce the punchingshear strength under concentrated loads. This paper describes an experimental campaign carried out to investigate the effect of unidirectional in-plane tensile forces on the punching-shear strength of RC slabs. A total of, five slabs (1,650 × 1,650 × 120 mm), subjected to different levels of in-plane tensile forces were tested under a concentrated load up to failure. As observed, the punching-shear strength diminishes almost linearly as the tensile force increases, up to a certain point associated to concrete cracking. From that point on, the reduction of punching strength is larger since the tensile force at the crack must be resisted by the reinforcement, which yields prematurely.

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Influence of uniaxial tension and compression on shear strength of concrete slabs without shear reinforcement under concentrated loads

Cited by 15 publications

References 15 publications

Two solution strategies to improve the computational performance of sequentially linear analysis for quasi‐brittle structures

Two solution strategies to improve the computational performance of sequentially linear analysis for quasi‐brittle structures

Non‐proportional loading in sequentially linear analysis for 3D stress states

Punching‐shear strength of reinforced concrete slabs subjected to unidirectional in‐plane tensile forces

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