Nonlinear Analysis of Prestressed Concrete Slabs

Greunen, Johannes Van; Scordelis, Alexander C.

doi:10.1061/(asce)0733-9445(1983)109:7(1742)

Cited by 28 publications

(16 citation statements)

References 11 publications

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“…The steel was assumed to be a bilinear elastic strain hardening material and was modeled as being equivalent smeared reinforcing steel layers [ 1,9].…”

Section: Reinforcing Steel Modelmentioning

confidence: 99%

“…Hence, the calculation of stress changes is also considered in the study. The detailed calculation procedures are explained by Van Greunen and Scordelis [9]. In addition, the method on modeling tendons and on state determination in tendons are also detailed in Ref.…”

Section: Prestressing Steel Modelmentioning

confidence: 99%

“…In addition, the method on modeling tendons and on state determination in tendons are also detailed in Ref. [9].…”

Section: Prestressing Steel Modelmentioning

confidence: 99%

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Fatigue Analysis of Prestressed Concrete Pavement

Al-Khaleefi

Harmon

Lin

et al. 1997

Journal of the Chinese Institute of Engineers

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A theoretical model to predict the fatigue life along with the punching shear failure of prestressed concrete pavements loaded with a stationary load, is proposed. A layered shell element considering shear failure is used in the analysis. An octahedral constitutive relation is used to model concrete in compression. In tension, the concrete is linearly elastic with cracking occurring at points of maximum tension when the fatigue life is used up. A smeared crack model is used with a shear retention factor for concrete cracking. A multi-linear curve was used for prestressing steel model. The comparison between predicted and experimental results appears to be very satisfactorily. 151

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“…The steel was assumed to be a bilinear elastic strain hardening material and was modeled as being equivalent smeared reinforcing steel layers [ 1,9].…”

Section: Reinforcing Steel Modelmentioning

confidence: 99%

Section: Prestressing Steel Modelmentioning

confidence: 99%

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Fatigue Analysis of Prestressed Concrete Pavement

Al-Khaleefi

Harmon

Lin

et al. 1997

Journal of the Chinese Institute of Engineers

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“…Deep insight into the nonlinearity of the steel and the inhomogeneity of the concrete and sometimes complex geometry is only possible with a numerical modelling. One may use here the popular finite element method (FEM) [13,14,27,28,29], which is able to give the correct solution, if the model uses robust input data and the modelling approach is adequate. Note that, the detailed FEM modelling for complex slab structures may be computationally (time) expensive and requires specialized knowledge.…”

Section: Introductionmentioning

confidence: 99%

Application of the Generalized Nonlinear Constitutive Law to Hollow-Core Slabs

Staszak¹,

Garbowski²,

Ksit³

2021

Preprint

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The non-linear analysis of hollow-core concrete slabs requires the use of advanced numerical techniques, proper constitutive models both for concrete and steel as well as particular computational skills. If prestressing, cracking, crack opening, material softening, etc. are also to be taken into account, then the computational task can far exceed the capabilities of an ordinary engineer. In order for the calculations to be carried out in a traditional design office, simplified calculation methods are needed. Preferably based on the linear finite element (FE) method with a simple approach that takes into account material nonlinearities. In this paper the simplified analysis of hollow-core slabs based on the generalized nonlinear constitutive law is presented. In the proposed method a simple decomposition of the traditional iterative linear finite element analysis and the non-linear algebraic analysis of the plate cross-section is used. Through independent analysis of the plate cross-section in different deformation states, a degraded plate stiffness can be obtained, which allows iterative update of displacements and rotations in the nodes of the FE model. Which in turn allows to update the deformation state and then correct translations and rotations in the nodes again. The results obtained from the full detailed 3D nonlinear FEM model and from the proposed approach are compared for different slab cross-sections. The obtained results from both models are consistent.

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confidence: 99%

Non‐linear finite element analysis of post‐tensioned concrete structures

Nikolić

Mihanović

1997

Engineering Computations

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IntroductionNumerical modelling of non-linear prestressed structures has been studied by many authors [1][2][3][4][5][6]. The model presented in this paper is applied to non-linear analysis of post-tensioned concrete structures, partially or fully prestressed.The stress in prestressed tendons is decreased as a result of various influences which directly affect the bearing capacity of the structure. Consequently, all changes should be computed as precisely as possible. The model developed in this paper makes it possible to compute friction losses, losses in the anchorage zone caused by concrete deformation and standard losses caused by the short-term linear and non-linear deformation of concrete.The prestressed tendons and reinforcing bars are embedded into the concrete [7][8][9]. They were modelled by one-dimensional isoparametric threenode elements. These elements make it possible to model generally curved prestressing tendons and reinforcing bars. The influence of the prestressed tendon on the concrete is modelled by distributed normal and tangential load along the tendon and the two forces concentrated on the anchors.The computation for post-tensioned structures is organized in phases. In the phase which precedes the prestressing of the tendons the structure is computed taking into account the dead load and one part of the permanent load. In the prestressing phase the tendons are tensioned individually. The prestress force can be applied at once or incrementally. In the third phase, which follows the tensioning of all tendons, the structure is computed taking into account the remaining part of the dead load and the live load. Material modellingA brief description of the material models adopted in this analysis is presented herein. Further details may be found in [8,9]. Compressive behaviour of concreteIn the present analysis an elasto-viscoplastic approach[10] was employed to model the compressive behaviour of the concrete. The yield condition was formulated in terms of the first two stress invariants [11][12][13].

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Nonlinear Analysis of Prestressed Concrete Slabs

Cited by 28 publications

References 11 publications

Fatigue Analysis of Prestressed Concrete Pavement

Fatigue Analysis of Prestressed Concrete Pavement

Application of the Generalized Nonlinear Constitutive Law to Hollow-Core Slabs

Non‐linear finite element analysis of post‐tensioned concrete structures

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