Methodology for the analysis of post-tensioned structures using a constitutive serial-parallel rule of mixtures: Large scale non-linear analysis

Barbu, Lucía Gratiela; Cornejo, Alejandro; Martı́nez, Xavier; Oller, Sergio; Barbat, Álex H.

doi:10.1016/j.compstruct.2019.02.092

Cited by 15 publications

(15 citation statements)

References 12 publications

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“…In this test, the stress variation of the steel bars was caused by two factors, one was the relaxation of the steel bars, and the other was the creep characteristic of the glulam. Previous studies showed that the relaxation of the steel bars was not significant anymore when the initial stress of the prestressed steel bars was less than 0.5 times value of the ultimate tensile strength R y [26][27][28][29][30][31][32][33]. Since the maximum prestress applied in this study was 60 MPa < 0.5fu = 270 MPa, the stress variation caused by the relaxation of the steel bars was ignored, and it was considered that the stress variation of the steel bars was mainly caused by the creep of the glulam.…”

Section: Stress Variation Of Steel Barsmentioning

confidence: 99%

Long-Term Loading Test of Reinforced Glulam Beam

Guo¹,

Ren²,

Li³

et al. 2022

Journal of Renewable Materials

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Due to creep characteristics of wood, long-term loading can cause a significant stress loss of steel bars in reinforced glulam beams and high long-term deflection of the beam midspan. In this study, 15 glulam beams were subjected to a 90-day long-term loading test, and the effects of long-term loading value, reinforcement ratio and prestress level on the stress of steel bars, midspan long-term deflection, and other parameters were compared and analyzed. The main conclusions drawn from this study were that the long-term deflection of the reinforced glulam beams accounted for 22.5%, 20.6%, and 18.2% of the total deflection respectively when the loading value was 20%, 30%, and 40% of the estimated ultimate load under the long-term loading. The higher the loading level was, the smaller the proportion of the long-term deflection in the total deflection was. Compared with ordinary glulam beams, the long-term deflection of the reinforced glulam beam was even smaller. Under the condition of the constant loading level, the total stress value of the steel bars decreased by 17.5%, 13.6%, and 9.1%, and the proportion of the long-term deflection of the beam midspan in the total deflection was 26.9%, 24.2%, and 20.6% respectively when the reinforcement ratio was 2.05%, 2.68 %, and 3.39%. With the increase of the reinforcement ratio, the stress loss of the steel bars decreased, and the proportion of the long-term deflection decreased as well. When other conditions remained constant and the prestress level of the steel bars was 0 MPa, 30 MPa, and 60 MPa, the total stress value of the steel bars decreased by 9.1%, 9.4%, and 10.2%, respectively, and the proportion of the long-term deflection in the total deflection was 20.6%, 26.1%, and 64.9%, respectively. With the increase of the prestress value, the stress loss of the steel bars increased, and the proportion of the long-term deflection increased as well.

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Section: Stress Variation Of Steel Barsmentioning

confidence: 99%

Long-Term Loading Test of Reinforced Glulam Beam

Guo¹,

Ren²,

Li³

et al. 2022

Journal of Renewable Materials

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“…This means that the relation between the strains and stresses in the material is non-linear and therefore, the constitutive models chosen for simulating the simple materials must include these effects. For concrete, for example, a model has been used which includes the phenomena of damage, simulated by means of its stiffness degradation due to nonadmissible stress levels [2,3,6,7,10,11]. And for the case of prestressing steel, the stress relaxation phenomena, that takes place along time due to its intrinsic viscosity, has been simulated using the generalised Maxwell viscoelastic model [2,3,7,10].…”

Section: Strategy Of Analysismentioning

confidence: 99%

“…The methodology used to simulate the composite materials of the containment is the before mentioned S-P RoM [2,3,4,5,6,7]. This formulation is usually applied for the study of fiberreinforced composite materials and it defines two different behaviours in terms of the strain and the stress states of the composite constituent materials, i.e.…”

Section: Computational Model 41 Constitutive Modelling Of the Composite Materialsmentioning

confidence: 99%

“…A more detailed explanation of the methodology can be found in [2,4,5,6], including a description of the complete procedure followed in order to apply the tendons' pre-stressing loads upon the composite material.…”

Section: Computational Model 41 Constitutive Modelling Of the Composite Materialsmentioning

confidence: 99%

“…This article presents the predictive analysis results of the mock-up of a reactor containment building. The computational study performed has been based on the Serial-Parallel Rule of Mixtures (S-P RoM from now on) [2,3,4,5,6,7] which is a technique used in the analysis of composite materials. A complete description of the problem is included and the obtained numerical results are compared with the experimental records showing a good agreement.…”

Section: Introductionmentioning

confidence: 99%

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A numerical framework for modelling tire mechanics accounting for composite materials, large strains and frictional contact

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We present a general framework for the analysis and modelling of frictional contact involving composite materials. The study has focused on composite materials formed by a matrix of rubber and synthetic or metallic fibres, which is the case of standard tires. We detail the numerical treatment of incompressibility at large deformations that rubber can experience, as well as the stiffening effect that properly oriented fibres will induce within the rubber. To solve the frictional contact between solids, a Dual Augmented Lagrangian Multiplier Method is used together with the Mortar method. This ensures a variationally consistent estimation of the contact forces. A modified Serial-Parallel Rule of Mixtures is employed to model the behaviour of composite materials. This is a simple and novel methodology that allows the blending of constitutive behaviours as diverse as rubber (very low stiffness and incompressible behaviour) and steel (high stiffness and compressible behaviour) taking into account the orientation of the fibres within the material. The locking due to the incompressibility constraint in the rubber material has been overcome by using Total Lagrangian mixed displacement-pressure elements. A collection of numerical examples is provided to show the accuracy and consistency of the methodology presented when solving frictional contact, incompressibility and composite materials under finite strains.

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Methodology for the analysis of post-tensioned structures using a constitutive serial-parallel rule of mixtures: Large scale non-linear analysis

Cited by 15 publications

References 12 publications

Long-Term Loading Test of Reinforced Glulam Beam

Long-Term Loading Test of Reinforced Glulam Beam

Analysis of the mock-up of a reactor containment building: Comparison with experimental results

A numerical framework for modelling tire mechanics accounting for composite materials, large strains and frictional contact

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