Numerical limit analysis of reinforced concrete slabs using a dual approach and conic programming

Tinoco, Héctor A.

doi:10.1007/s00158-016-1582-3

Cited by 4 publications

(4 citation statements)

References 26 publications

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“…The principal curvatures are associated to yield lines that conform the collapse mechanism of the slab and this mechanism is the correct. It is also observed that the adaptive remeshing took the shape of the yield lines showing that the algorithm propose by [3] works.…”

Section: Resultsmentioning

confidence: 83%

“…In recent years, different numerical approaches have been proposed for the yield design of reinforced concrete slabs [2,[3][4]. Some of these methodologies have begun to be relevant in the euro code for their applications, especially numerical limit analysis.…”

Section: Introductionmentioning

confidence: 99%

“…Equation (3) shows the kinematic problem in a standard form of a mathematical programming problem which satisfies the requirements of limit analysis methodology. Detailed descriptions of the formulation are provided by [2] and recently by [3].…”

Section: Introductionmentioning

confidence: 99%

“…The solution of the problem proposed in Equation (11) is obtained using a conic optimization algorithm, for this purpose we used software MOSEK [6]. The remeshing strategy is taken from the study done by [3].…”

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confidence: 99%

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Upper Bound Method for Yield Design of Reinforced Concrete Slabs Using Conic Programming and an Adaptive Remeshing Strategy

Tinoco¹

2019

Preprint

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This study presents a numerical procedure for the analysis of reinforced concrete slabs (RCS) that obey Nielsen's yield criterion (slabs orthogonally reinforced). An upper bound formulation combined with finite elements was established to solve the kinematic theorem as a conic optimization problem with the aim to determine the maximum bearing capacity of RCS. Discrete Kirchhoff finite elements were implemented and adapted to establish a limit state problem for the yield design. By using Nielsen´s criterion, a kinematic criterion was established applying the flow rule of plasticity. The kinematic criterion was included in the upper bound formulation with the aim to constraint the curvatures of the slab. The upper bound formulation was organized in the standard form of a second order cone programming (SOCP) problem since the kinematic criterion was formulated in conic form. Numerical examples were proposed to test the accuracy of the method including the adaptive remeshing strategy.

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Section: Resultsmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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