Incremental modeling of relaxation of prestressing wires under variable loading and temperature

Chhun, Ponleu; Sellier, Alain; Lacarrière, Laurie; Chataigner, Sylvain; Gaillet, Laurent

doi:10.1016/j.conbuildmat.2017.12.123

Cited by 10 publications

(6 citation statements)

References 13 publications

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“…The analogy between (7) and (8) leads to the identification of these terms. The characteristic lenght l r c is given by (9), and the source term by (10).…”

Section: Resulting Differential Formulationmentioning

confidence: 99%

“…with E r the Young's modulus of the reinforcement, re its elastic strain, r its axial strain and ra its an-elastic axial strain including plastic, visco-plastic [10] and thermal strain.…”

Section: Behavior Law Of the Reinforcementmentioning

confidence: 99%

“…The unixial behavior law is given by equation (2). It is also possible to take account of visco-plastic strain as explained in [10]. This feature is needed when dealing with prestressed wires, for example.…”

Section: State Laws For Each Phase Of Compositementioning

confidence: 99%

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A homogenized formulation to account for sliding of non-meshed reinforcements during the cracking of brittle matrix composites: Application to reinforced concrete

Sellier

Millard

2019

Engineering Fracture Mechanics

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Non-linear finite element modelling of complex structures made of composites, such as reinforced concrete, remains a challenge because, until now, the only way to consider the important phenomenon of sliding between the reinforcements and the brittle matrix of the composite has been to mesh the reinforcements and their interfaces explicitly. This method is accurate but so expensive in terms of computational resources that only critical small elements of composites structures are modelled using it. To get around this limit, a method avoiding the meshing of composite reinforcements is proposed. It consists in treating the sliding between reinforcements and matrix with a differential formulation that provides the deformation of reinforcements directly as a continuous field superimposed to the displacement field of the matrix. The method needs a minor modification of the finite element code, which can take advantage of its analogy with the anisotropic thermal formulation. After the analytical presentation of the method, two theoretical cases of study are given to confront the results obtained with this method without meshing of reinforcements, with reference results obtained using a complete mesh of the matrix, reinforcements and interfaces.

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“…The analogy between (7) and (8) leads to the identification of these terms. The characteristic lenght l r c is given by (9), and the source term by (10).…”

Section: Resulting Differential Formulationmentioning

confidence: 99%

“…with E r the Young's modulus of the reinforcement, re its elastic strain, r its axial strain and ra its an-elastic axial strain including plastic, visco-plastic [10] and thermal strain.…”

Section: Behavior Law Of the Reinforcementmentioning

confidence: 99%

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A homogenized formulation to account for sliding of non-meshed reinforcements during the cracking of brittle matrix composites: Application to reinforced concrete

Sellier

Millard

2019

Engineering Fracture Mechanics

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“…After that, the stress decreases gradually with time and approaches a residual stress

{\sigma }_r

at the end of the hold phase. As indicated in previous studies, 24,25 the total stress relaxation from the peak

{\sigma }_p

to the residual stress

{\sigma }_r

is mainly dependent on the preceding strain rate, that is, the strain rate at the peak

{\sigma }_p

. As presented in the following sections, the stress relaxation after

{\sigma }_p

is considered as the sum of σ 1 and σ 2 as shown in Figure 5, where σ 1 is the sudden stress change before the base “static” stress

{\sigma }_{0,i + 1}

and σ 2 is the gradual stress reduction after

{\sigma }_{0,i + 1}

.…”

Section: Experimental Investigationmentioning

confidence: 93%

Impact of loading rate during hybrid simulation on seismic response of steel structures

Huang

Tabkhi

Sadeghian

et al. 2022

Earthq Engng Struct Dyn

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This study investigates the influence of loading rates on the seismic response of steel structures. A series of coupon tests under typical earthquake-induced loading rates are carried out. In addition to the conventional monotonic tension test, the specimens are also tested under a discontinuous loading protocol that is analogous to the ramp-and-hold scheme employed in the pseudo-dynamic hybrid simulations. The test results are used to develop a uniaxial steel material model to account for the strain rate effect and stress relaxation. The material model facilitates the reuse of existing steel hysteresis models and can be used to model different structural components, such as columns, beams, braces, etc. The material model is then used for a parametric study to evaluate the impact of various loading rates on the global seismic response of a single degree of freedom structural system with different structural periods, and types and intensities of ground motions. It is found that the impact of loading rates is more significant for structures with a period of 0.5 s or less and it thus requires a fast control of the physical specimen in pseudo-dynamic hybrid testing. In addition, the material model is applied to a five-storey buckling restrained braced frame (BRBF) building with a structural period of 1.2 s. It is found that the earthquake-induced loading rates have a minor impact on the global response of the structure.

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“…This phenomena is all the more necessary to evaluate that the conditions in case of a severe accident of a NPP would be such that it would occur. Moreover, temperature affects prestressing wires relaxation [5]. Thus, experiments have to be carried out at the prestressed concrete elements scale to identify thermal coupled effects for the two materials.…”

Section: Introductionmentioning

confidence: 99%

Risk due to creep of prestressed concrete at moderate temperature

et al. 2019

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This study is a part of a French national project dealing with the mechanical behaviour of the containment vessel of French Nuclear Power Plants in case of a severe accident. The accident conditions are characterized by the increases of internal pressure, +0.5 MPa, and of temperature, up to 180°C, during two weeks. Heating can induce a strong increase of creep deformations kinetics leading to prestressing losses of concrete. Associated to internal pressure, tensile stress could occur in some areas of the structure and the potential cracking could affect the containment capacity of the vessel. One of the objectives of the project was thus to provide original creep data to develop accurate models, taking into account the coupled effects of temperature, desiccation and damage, and able to predict the behaviour of prestressed concrete structures in such insitu conditions. A wide experimental program consisted of numerous creep tests under various thermo-hydro-mechanical conditions in the values range of the accident. The presented results concern uniaxial compressive and flexural creep tests respectively performed on concrete cylinders and prestressed concrete beams, at 20°C and 40°C without desiccation.

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Incremental modeling of relaxation of prestressing wires under variable loading and temperature

Cited by 10 publications

References 13 publications

A homogenized formulation to account for sliding of non-meshed reinforcements during the cracking of brittle matrix composites: Application to reinforced concrete

A homogenized formulation to account for sliding of non-meshed reinforcements during the cracking of brittle matrix composites: Application to reinforced concrete

Impact of loading rate during hybrid simulation on seismic response of steel structures

Risk due to creep of prestressed concrete at moderate temperature

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