A new 3D damage model for concrete under monotonic, cyclic and dynamic loadings

Mazars, Jacky; Hamon, François P.; Grange, Stéphane

doi:10.1617/s11527-014-0439-8

Cited by 140 publications

(153 citation statements)

References 27 publications

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“…This is an important characteristic for the simulation of degradation in materials such as concrete and masonry which have quite different capacity under tension and compression. Other local models based on the same concept have been proposed by Lee & Fenves [27], Comi & Perego [55], Wu et al [28], Pelà et al [56], Voyiadjis et al [57], Mazars et al [58]. He et al [59] and Pereira et al [60] have recently proposed nonlocal counterparts of some of the these models.…”

Section: Continuum Damage Modelmentioning

confidence: 99%

Finite element modelling of internal and multiple localized cracks

et al. 2016

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Tracking algorithms constitute an efficient numerical technique for modelling fracture in quasibrittle materials. They succeed in representing localized cracks in the numerical model without mesh-induced directional bias. Currently available tracking algorithms have an important limitation: cracking originates either from the boundary of the discretized domain or from predefined "crack-root" elements and then propagates along one orientation. This paper aims to circumvent this drawback by proposing a novel tracking algorithm that can simulate cracking starting at any point of the mesh and propagating along one or two orientations. This enhancement allows the simulation of structural case-studies experiencing multiple cracking. The proposed approach is validated through the simulation of a benchmark example and an experimentally tested structural frame under in-plane loading. Meshbias independency of the numerical solution, computational cost and predicted collapse mechanisms with and without the tracking algorithm are discussed.

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Section: Continuum Damage Modelmentioning

confidence: 99%

Finite element modelling of internal and multiple localized cracks

et al. 2016

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“…On the contrary, much more work is devoted to the cyclic behaviour of plain concrete material or concrete with fibres, which have a behaviour similar to natural rocks. Damage mechanics is the mostly used framework (Peng & Meyer, 2000;Alliche, 2004;Wu et al, 2006;Mazars et al, 2015;Breccolotti et al, 2015). Another model couples damage evolution and bounding surface model (Suaris et al, 1990).…”

Section: List Of Symbols αmentioning

confidence: 99%

Validation of a New Elastoplastic Constitutive Model Dedicated to the Cyclic Behaviour of Brittle Rock Materials

et al. 2017

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Old mines or caverns may be used as reservoirs for fuel/gas storage or in the context of large scale energy storage. In the first case, oil or gas is stored on annual basis. In the second case pressure due to water or compressed air varies on a daily basis or even faster. In both cases a cyclic loading on the cavern's/mine's walls must be considered for the design. The complexity of rockwork geometries or coupling with water flow requires finite element modelling and then a suitable constitutive law for the rock behaviour modelling. This paper presents and validates the formulation of a new constitutive law able to represent the inherently cyclic behaviour of rocks at low confinement. The main features of the behaviour evidenced by experiments in the literature depict a progressive degradation and strain of the material with the number of cycles. A constitutive law based on a boundary surface concept is developed. It represents the brittle failure of the material as well as its progressive degradation. Kinematic hardening of the yield surface allows the modelling of cycles. Isotropic softening on the cohesion variable leads to the progressive degradation of the rock strength. A limit surface is introduced and has a lower opening than the bounding surface. This surface describes the peak strength of the material and allows the modelling of a brittle behaviour. In addition a fatigue limit is introduced such that no cohesion degradation occurs if the stress state lies inside this surface. The model is validated against three different rock materials and types of experi-

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“…In this study the constitutive behavior of concrete is described with the damage material model in [15]. The model uses a scalar damage variable D to define the relation between the strain tensor E and the stress tensor Σ:…”

Section: Damage Modelmentioning

confidence: 99%

“…Hence, stress and strain variables are determined at each discrete fiber and then integrated over the area to obtain the generalized section quantities. To describe the damaging mechanisms typical of brittle-like engineering materials, the isotropic 3D damage model in [15] is adopted. This considers the non-symmetric response, in tension and compression, and the unilateral effect, observed during cyclic load patterns for this material type.…”

Section: Introductionmentioning

confidence: 99%

3d Beam-Column Finite Element Under Non-Uniform Shear Stress Distribution Due to Shear and Torsion

Addessi¹,

Re²,

Filippou³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. The paper discusses the application of a 2-node, three-dimensional (3D) beamcolumn finite element with an enhanced fiber cross-section model to the inelastic response analysis of concrete members. The element accounts for the local distribution of strains and stresses under the coupling of axial, flexural, shear, and torsional effects with an enriched kinematic description that accounts for the out-of-plane deformations of the cross-section. To this end the warping displacements are interpolated with the addition of a variable number of local degrees of freedom. The material response is governed by a 3D nonlinear stress-strain relation with damage that describes the degrading mechanisms of typical engineering materials under the coupling of normal and shear stresses. The element formulation is validated by comparing the numerical results with measured data from the response of two prismatic concrete beams under torsional loading and with standard beam formulations.

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A new 3D damage model for concrete under monotonic, cyclic and dynamic loadings

Cited by 140 publications

References 27 publications

Finite element modelling of internal and multiple localized cracks

Finite element modelling of internal and multiple localized cracks

Validation of a New Elastoplastic Constitutive Model Dedicated to the Cyclic Behaviour of Brittle Rock Materials

3d Beam-Column Finite Element Under Non-Uniform Shear Stress Distribution Due to Shear and Torsion

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