Numerical simulation of crack propagation from microcracking to fracture

Schorn, H.; Rode, U.

doi:10.1016/0958-9465(91)90003-z

Cited by 41 publications

(9 citation statements)

References 2 publications

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“…Damage processes of tensile loaded concrete specimen are studied by Schorn & Rhode (1991) using framework model where small struts were used. Lattice models with beam elements are developed to numerically simulate the concrete material failure in tension (Schlangen & Van Mier 1992).…”

Section: Lattice Modelsmentioning

confidence: 99%

Numerical modelling of failure of cement concrete using a unit cell approach

Ghouse

Rao

2011

Sadhana

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In this paper, a unit cell based approach is followed, where a unit cell consisting of one aggregate surrounded by mortar matrix is used for numerical simulation of mechanical response of cement concrete. Unit cell approach is a simple mathematical approximation that helps us to simplify the simulation of mechanical response of multi-phase composites. To model the failure of matrix, brittle cracking model is used, where the entire fracture zone is represented by a band of micro cracked material. Current study involves; (a) failure analysis of the concrete unit cell when it is subjected to tensile loads, and (b) parametric study of variation of peak strength with shape and volume fraction of aggregate. In this study, circular and square aggregates at various orientations are modelled. The simulation results predict that the peak tensile stresses are not very sensitive to the volume fraction of aggregates, when the unit cell is subjected to tensile loads. This paper effectively demonstrates the power of unit cell model in simulating the nonlinear mechanical response of cement concrete when it is subjected to tensile loading.

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Section: Lattice Modelsmentioning

confidence: 99%

Numerical modelling of failure of cement concrete using a unit cell approach

Ghouse

Rao

2011

Sadhana

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“…To save the resources, energy, time, and costs associated with experimental testing when conducting scientific research, [1][2][3][4] numerical investigations have become an extremely effective discipline for studying the mechanical properties of materials [5][6][7][8] and structures 2,9 and have therefore been widely used by many researchers. 6,[10][11][12][13][14] The finite element method (FEM) was first proposed by Clough. 15 The FEM has been developed over the past few decades.…”

Section: Introductionmentioning

confidence: 99%

Base force element method based on the complementary energy principle for the damage analysis of recycled aggregate concrete

Wang

Peng

Kamel

et al. 2019

Numerical Meth Engineering

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Summary The finite element method (FEM) is an effective approach for exploring the failure mechanism of heterogeneous materials. According to the complementary energy principle, the use of FEM might suffer from several difficulties in terms of keeping the elements and their boundaries balanced, as well as finding interpolation functions. In this study, we introduced an efficient approach to researching the failure mechanism of the material, named base force element method (BFEM), according to complementary energy principle. Specifically, the element compliance matrix of an arbitrary quadrilateral element with four mid‐edge nodes was expressed based on the complementary energy principle. Then, the node displacement was obtained by the governing equation using the Lagrange multiplier method. In addition, both the compliance matrix and the node displacement were represented as explicit expressions without the use of Gaussian integration. A numerical model of the recycled aggregate concrete (RAC) was established according to the Monte Carlo method. A comparative sample of the digital image model was also established using digital image technology. The influences of substituting recycled aggregate and the relative mechanical properties of adhered mortar to those of new mortar on the failure mechanism of RAC were studied. The simulation results indicated that the BFEM is an effective approach to researching the damage mechanism of heterogeneous materials.

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“…Many methods have been developed based on advanced computer technology to realistically simulate aggregates in 2D and 3D. In 2D numerical models, aggregates are often simulated as having circular shapes [4][5][6][7], angular or polygonal shape [8][9][10] or even arbitrary shapes [11]. In 3D numerical models, however, aggregates are frequently assumed to be spherical shape [12][13][14][15][16] or ellipsoidal shapes [17,18].…”

Section: Introductionmentioning

confidence: 99%

Numerical Reconstruction Model and Simulation Study of Concrete Based on Damaged Partition Theory and CT Number

et al. 2019

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The applicability of mesoscopic models plays an important role in studying the mesoscopic mechanical properties of concrete. In this study, the computerized tomography (CT) test of concrete under uniaxial compression conditions is conducted using a portable dynamic loading equipment developed by Xi’an University of Technology and a medical Marconi M8000 spiral CT scanner. On the basis of damage partition theory, a probabilistic statistical method for determining threshold values is proposed, and a CT test images is obtained and divided into aggregate, hardened cement and hole-crack areas. A ‘structural random numerical concrete model’ is also established on the basis of the coordinates of each pixel unit in CT images. Uniaxial static compression and tensile numerical simulation tests are conducted. Results show that the structural random numerical concrete model can not only reflect the microscopic composition of concrete but also the interfacial transition zone (ITZ) between aggregate and mortar. The ITZ thickness is approximately 0.04 mm, which is close to the real concrete sample ITZ thickness (approximately 10–50 μm). In the two tests, the specimen damage starts from the initial defects, and the damage crack expands through the weaker ITZ around the aggregate. No matter under the action of static tension or compression load, the damage cracks of the sample almost never pass through the aggregate. Most of the many cracks in uniaxial compression are shear cracks. However, many cracks form at the beginning of uniaxial tension, and only one main crack, which is roughly perpendicular to the loading direction, exists in the end.

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Numerical simulation of crack propagation from microcracking to fracture

Cited by 41 publications

References 2 publications

Numerical modelling of failure of cement concrete using a unit cell approach

Numerical modelling of failure of cement concrete using a unit cell approach

Base force element method based on the complementary energy principle for the damage analysis of recycled aggregate concrete

Numerical Reconstruction Model and Simulation Study of Concrete Based on Damaged Partition Theory and CT Number

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