Modelling reinforced concrete beams under mixed shear-tension failure with different continuous FE approaches

Marzec, I.; Skarżyński, Łukasz; Bobiński, Jerzy; Tejchman, J.

doi:10.12989/cac.2013.12.5.585

Cited by 12 publications

(8 citation statements)

References 30 publications

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“…A simple isotropic damage continuum model describes the material degradation with the aid of only a single scalar damage parameter D growing monotonically from zero (undamaged material) to one (completely damaged material) [3][4][5]30,39]. A damage variable D is associated with a degradation of the material due to the propagation and coalescence of micro-cracks and micro-voids.…”

Section: Constitutive Continuum Model For Concretementioning

confidence: 99%

“…The constitutive isotropic damage model for concrete requires the following 5 constants: E -the modulus of elasticity, t -the Poisson's ratio, j 0 -the initial value of the damage parameter (responsible for the strength) and a and b -the softening parameters. The model is suitable for tensile failure [30]. However, it cannot realistically describe irreversible deformations, volume changes and shear failure.…”

Section: Constitutive Continuum Model For Concretementioning

confidence: 99%

“…3D X-ray micro-computed tomography and 2D scanning electron microscope (SEM). The FE simulations of tensile deformation were carried out with a simple isotropic continuum constitutive damage model enhanced by a characteristic length of micro-structure by means of a non-local theory [5,30]. The DEM calculations were performed with the three-dimensional spherical discrete element model YADE, which was developed at University of Grenoble [31,32].…”

Section: Introductionmentioning

confidence: 99%

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Modelling of concrete fracture at aggregate level using FEM and DEM based on X-ray μCT images of internal structure

Skarżyński

Nitka

Tejchman

2015

Engineering Fracture Mechanics

160

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Section: Constitutive Continuum Model For Concretementioning

confidence: 99%

Section: Constitutive Continuum Model For Concretementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modelling of concrete fracture at aggregate level using FEM and DEM based on X-ray μCT images of internal structure

Skarżyński

Nitka

Tejchman

2015

Engineering Fracture Mechanics

160

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“…The elasto-plasticity model was defined within a standard plasticity theory. Standard Rankine criterion was used [6][7]. The yield function for 2D case was defined as:…”

Section: Elasto-plasticitymentioning

confidence: 99%

Size effect in concrete beams under bending – influence of the boundary layer and the numerical description of cracks

Marzec

Bobiński

2019

MATEC Web Conf.

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In the paper the size effect phenomenon in concrete is analysed. The results of numerical simulations of using FEM on geometrically similar un-notched and notched concrete beams under bending are presented. Concrete beams of four different sizes and five different notch heights under three-point bending test were simulated. In total 18 beams were analysed. Two approaches were used to describe cracks in concrete. First, eXtended Finite Element Method (XFEM) describing cracks as discrete cohesive ones with bilinear softening was chosen. Alternatively, an elasto-plastic constitutive law with Rankine criterion, associated flow rule and bilinear softening was defined. In order to ensure mesh-independent FE results, a non-local theory in an integral format as a regularisation technique was applied in the softening regime. In both approaches the influence of the decrease of the material parameters (mainly fracture energy) in the boundary layer on obtained maximum loads was studied. Additionally the influence of the averaging method in non-local plasticity was also examined. Obtained results were compared with experimental outcomes available in literature.

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“…Within continuum mechanics, cracks can be described as a smeared (continuous), discrete (discontinuous) or by coupling these two approaches (Mazars et al [20], Marzec et al [18], Unger et al [26], Bobiński and Tejchman [5]). The first (smeared) approach defines a crack as region (band) with a certain width, while in the second formulation it is presented as a line (surface) with zero thickness and assumed displacement jump across.…”

Section: Introductionmentioning

confidence: 99%

On Some Problems in Determining Tensile Parameters of Concrete Model from Size Effect Tests

Marzec

Bobiński

2019

Polish Maritime Research

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The paper presents results of numerical simulations of size effect phenomenon in concrete specimens. The behaviour of in-plane geometrically similar notched and unnotched beams under three-point bending is investigated. In total 18 beams are analysed. Concrete beams of four different sizes and five different notch to depth ratios are simulated. Two methods are applied to describe cracks. First, an elasto-plastic constitutive law with a Rankine criterion and an associated flow rule is defined. In order to obtain mesh independent results, an integral non-local theory is used as a regularisation method in the softening regime. Alternatively, cracks are described in a discrete way within Extended Finite Element Method (XFEM). Two softening relationships in the softening regime are studied: a bilinear and an exponential curve. Obtained numerical results are compared with experimental outcomes recently reported in literature. Calculated maximum forces (nominal strengths) are quantitatively verified against experimental values, but the force – displacement curves are also examined. It is shown that both approaches give results consistent with experiments. Moreover, both softening curves with different initial fracture energies can produce similar force-displacement curves.

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Modelling reinforced concrete beams under mixed shear-tension failure with different continuous FE approaches

Cited by 12 publications

References 30 publications

Modelling of concrete fracture at aggregate level using FEM and DEM based on X-ray μCT images of internal structure

Modelling of concrete fracture at aggregate level using FEM and DEM based on X-ray μCT images of internal structure

Size effect in concrete beams under bending – influence of the boundary layer and the numerical description of cracks

On Some Problems in Determining Tensile Parameters of Concrete Model from Size Effect Tests

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