Pore space and brittle damage evolution in concrete

Jivkov, Andrey P.; Engelberg, Dirk; Stein, Robert; Petkovski, Mihail

doi:10.1016/j.engfracmech.2013.05.007

Cited by 54 publications

(23 citation statements)

References 43 publications

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“…In the site-bond model [20][21][22][23][24], a material volume is represented by an assembly of truncated octahedral cells, each of which has six square and eight regular hexagonal faces, as illustrated in Fig. 6a.…”

Section: Discrete Representation Of Materials Volumementioning

confidence: 99%

“…To overcome such limitations a site-bond model using a bi-regular lattice of truncated octahedral cells for elasticity has been recently proposed by Jivkov and Yates [21] and subsequently used to simulate the micro-crack population and damage evolution in concrete accounting for pore size distribution [20,22,23]. The microstructure of concrete was represented by truncated octahedral cells, which were regarded as the best choice for a regular representation of a solid.…”

Section: Introductionmentioning

confidence: 99%

“…Many approaches have been proposed to develop the so-call micromechanical models by taking into account the underlying microstructure and mechanical properties of components of cement paste in recent years [8][9][10][11][12][13][14][15][16][17][18][19][20]. The important feature of the micromechanical models is that the material damage at the continuous level is introduced by the nucleation and evolution of micro- cracks.…”

Section: Introductionmentioning

confidence: 99%

“…The important feature of the micromechanical models is that the material damage at the continuous level is introduced by the nucleation and evolution of micro- cracks. Discrete lattice models that represent a material by a lattice system of beam or spring elements are the most popular micromechanical models and seem to offer promising modelling strategy to explain fracture processes in cement paste [20]. Based on the simplest regular lattice with cubic cells, a lattice beam model has been proposed by Schlangen and van Mier [8], and further developed and adopted by Qian [19] to simulate the fracture processes in cementitious materials at different length scales.…”

Section: Introductionmentioning

confidence: 99%

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Microstructure-informed modelling of damage evolution in cement paste

Zhang

Jivkov

2014

Construction and Building Materials

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h i g h l i g h t sMacroscopic behaviour from microstructure features and meso-scale principles. Derivation of microstructure features from high-resolution micro-CT images. Construction of site-bond model with microstructure information. Demonstration of agreement between calculated responses and experimental data. Quantitative assessment of microstructure effects on macroscopic behaviour. a b s t r a c tCement paste is a binder for cementitious materials and plays a critical role in their engineering-scale properties. Understanding fracture processes in such materials requires knowledge of damage evolution in cement paste. A site-bond model with elastic-brittle spring bundles is developed here for analysis of the mechanical behaviour of cement paste. It incorporates key microstructure information obtained from high resolution micro-CT. Volume fraction and size distribution of anhydrous cement grains are used for calculating model length scale and elasticity. Porosity and pore size distribution are used to allocate local failure energies. Macroscopic damage emerges from the generation of micro-crack population represented by bond removals. Effects of spatial distribution, porosity and sizes of pores on tensile strength and damage are investigated quantitatively. Results show a good agreement with experiment data, demonstrating that the proposed technology can predict mechanical and fracture behaviour of cementitious materials based exclusively on microstructure information.

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Section: Discrete Representation Of Materials Volumementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Microstructure-informed modelling of damage evolution in cement paste

Zhang

Jivkov

2014

Construction and Building Materials

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“…It is a real reflection of the material in the meso-scale. However, it is more presently expensive and time consuming to generate the finite element model [6] Mostafavi, and [7] Jivkov. The parameterization approach comprises two methods for modeling direct and indirect.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Concrete Beam under Flexural Stresses Using Meso-Scale Model

Al-Zuhairi

Taj

2018

CivileJournal

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Two dimensional meso-scale concrete modeling was used in finite element analysis of plain concrete beam subjected to bending. The plane stress 4-noded quadrilateral elements were utilized to model coarse aggregate, cement mortar. The effect of aggregate fraction distribution, and pores percent of the total area -resulting from air voids entrapped in concrete during placement on the behavior of plain concrete beam in flexural was detected. Aggregate size fractions were randomly distributed across the profile area of the beam. Extended Finite Element Method (XFEM) was employed to treat the discontinuities problems result from double phases of concrete and cracking that faced during the finite element analysis of concrete beam. Cracking was initiated at a small notch located at the middle of the bottom face of the concrete beam. The response of plain concrete beam subjected to pure bending via two point load application was detected using (XFEM) analysis of meso-scale concrete model. Assuming full bond between aggregate particles, and mortar at interfacial zone, the flexural strength of plain concrete beam is increased when aggregate particles size is increased, so that bending and shear stress were affected by void percentage and aggregate particles distribution. The maximum deflection at midspan was increased when the aggregate particles size decreases.

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On the application of the method of difference potentials to linear elastic fracture mechanics

Woodward

Utyuzhnikov

Massin³

2015

Numerical Meth Engineering

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International audienceThe Difference Potential Method (DPM) proved to be a very efficient tool for solving boundary value problems (BVPs) in the case of complex geometries. It allows BVPs to be reduced to a boundary equation without the knowledge of Green's functions. The method has been successfully used for solving very different problems related to the solution of partial differential equations. However, it has mostly been considered in regular (Lipschitz) domains. In the current paper, for the first time, the method has been applied to a problem of linear elastic fracture mechanics. This problem requires solving BVPs in domains containing cracks. For the first time, DPM technology has been combined with the finite element method. Singular enrichment functions, such as those used within the extended finite element formulations, are introduced into the system in order to improve the approximation of the crack tip singularity. Near-optimal convergence rates are achieved with the application of these enrichment functions. For the DPM, the reduction of the BVP to a boundary equation is based on generalised surface projections. The projection is fully determined by the clear trace. In the current paper, for the first time, the minimal clear trace for such problems has been numerically realised for a domain with a cut. KEY WORDS: method of difference potentials; extended finite element method; fracture; rate of convergenc

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Pore space and brittle damage evolution in concrete

Cited by 54 publications

References 43 publications

Microstructure-informed modelling of damage evolution in cement paste

Microstructure-informed modelling of damage evolution in cement paste

Finite Element Analysis of Concrete Beam under Flexural Stresses Using Meso-Scale Model

On the application of the method of difference potentials to linear elastic fracture mechanics

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