Application of Principles of Linear Elastic Fracture Mechanics for Concrete Structures: A Numerical Study

Chauhan, Darshan Rajesh; Tewani, Hridyesh R.; Rama, J.S. Kalyana

doi:10.4028/www.scientific.net/amm.877.282

Cited by 4 publications

(3 citation statements)

References 19 publications

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“…In the next step, in the numerical model in which the components behave interactively, the stress intensity factor per loading step was extracted. As expected, the stress intensity factor value is always smaller than LEFM value in a non-linear method, and at the end of loading and crack propagation, non-linear stress intensity factor value tends to LEFM stress intensity factor value [40]. The issue is studied by Wecharatan & Shah [41], Sok et al [42], Brown [43], and Entov and Yagust [44], and the present research results are in consistency with the same results.…”

Section: Modelling By Considering the Interaction Between Components supporting

confidence: 91%

Effects of Meso-scale Modeling on Concrete Fracture Parameters Calculation

Permanoon

Akhaveissy

2019

Period. Polytech. Civil Eng.

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Mechanical fracture brings about considerable financial and living costs to various communities. Since the early twentieth century, the issue has been scientifically under scrutiny. Hence, it is of necessity to explore the failure of various materials including concrete as one of the most widely used materials in the construction industry. In examining the concrete structures, while it is assumed that concrete is a homogeneous material, it consists of several components such as cement paste, an aggregate of sand, gravel, and air, and the components play an essential role in determining correct concrete behavior. Hence, in the present research, to calculate the concrete fracture parameters under the three-point bending experiment, 100 distributions of aggregates and cement matrix were considered, and fracture factor and integral J were investigated, and contrary to expectations, the second and third fracture modes were also created. Besides, energy release ratio distribution along the beam thickness becomes unsymmetrical, contributing to early failure and crack propagation.

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Section: Modelling By Considering the Interaction Between Components supporting

confidence: 91%

Effects of Meso-scale Modeling on Concrete Fracture Parameters Calculation

Permanoon

Akhaveissy

2019

Period. Polytech. Civil Eng.

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“…It was demonstrated in [5] that the applicability of LEFM depends on the dimensions of the concrete element and the allowable values for various types of deformation were given. There are also examples of successful practical application of LEFM methods to concrete structures (see, for example, [6]). These methods make it possible to assess the state of cracks for a wide range of changes in the geometric and physical parameters of the reinforced concrete elements.…”

Section: Introductionmentioning

confidence: 99%

Reinforcement impact on state of cracks in concrete slabs

Bulgakov

Kutsenko

et al. 2023

22nd International Scientific Conference Engineering for Rural Development Proceedings

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In the present work the stress-strain state of a reinforced concrete slab with a transverse edge crack of constant depth is considered. There is investigated the effect of reinforcement upon the distribution of the fracture mechanics along the crack front. The uniformly or linearly distributed stresses at the slab ends are described as an external load. These loads correspond to pure tension and pure bending of the slab, respectively. For a case when the depth of the crack is less than the depth of the reinforcement rod, an analytical approach for an assessment of the crack state is proposed. As a characteristic of the crack state, the stress intensity factor (SIF) is used. Using the finite-element CalculiX package, the numerical results have been obtained, and adequacy of the analytical solution justified. The calculations have been performed for a wide range of variations in the geometrical parameters of the slab and the crack. For this purpose, a principle of replacing the external load with the pressure on the crack faces, well known in linear fracture mechanics, is generalized for the case of heterogeneous elastic bodies. The results of calculations show that the variation of the SIF value along the crack front is insignificant (up to 5% for practically realizable parameter values). On this basis it is concluded that the crack depth most likely is constant in the early stages of its fatigue development. For shallow cracks the SIF value will decrease near the reinforcing rod. It is interesting to note that for deep cracks the presence of reinforcement can lead to local increasing, not decreasing, of the SIF values. Considering this fact, the results presented in the paper may be useful in the design of reinforced concrete structures. It is especially important to take it into account in an individual design, in particular, in designing agricultural buildings where non-standard reinforced concrete structures are used.

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“…Despite the physical nonlinearity of concrete, the results of many studies [5][6][7] indicate the possibility of using linear fracture mechanics (LFM) methods to assess the state of cracks in concrete structures. One of the circumstances that facilitate this is the relatively large size of these structures, and the condition for the legality of using LFM is the small plastic zone in the vicinity of the crack vertex compared to the crack length [8].…”

Section: Introductionmentioning

confidence: 99%

Effect of reinforcement on the crack resistance of concrete slabs

Kutsenko¹,

Kutsenko²

2022

Tehnìka ta energetika

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A preliminary analysis of the available publications devoted to the study of crack resistance of reinforced concrete structures showed the absence of established general patterns of influence of important geometric parameters inherent in reinforced concrete elements on the distribution of the characteristics of fracture mechanics along the crack front. Based on the analysis, the purpose of the study was formulated: to establish these regularities for a concrete slab reinforced with a system of longitudinal steel rods. When conducting the research, a linear and elastic model of concrete was used, and the stress intensity factor was considered as a characteristic of the fracture mechanics. A surface crack of constant depth located in the cross-section of the slab was postulated. It was assumed that its faces completely cover the cross-section of reinforcing rods. The crack depth, the depth of reinforcing rods, their diameter, and the distance between adjacent rods were chosen as dimensionless geometric parameters relative to the thickness of the slab. The slab was loaded with two types of loads applied to its ends: constant tensile stresses (pure tension) and linearly variable axial stresses (pure bending). The problem of determining the stress intensity coefficient depending on geometric parameters was reduced to the boundary problem of elasticity theory. The CalculiX finite element analysis package was used to solve it and obtain the stress-strain state of the slab. More than four hundred finite element models were constructed for various combinations of parameters. Based on the known displacements of the crack face points, the values of the stress intensity factor along the crack front were calculated using the relation obtained in the study. It is established that its values significantly depend on the diameter of the reinforcement, and therefore, when conducting practical calculations, it is not recommended to replace the action of reinforcement on concrete with concentrated force. Polynomial approximations with a relative error of 10% are obtained for extreme values of the stress intensity factor. The materials of the study can be useful in the design of reinforced concrete structures, and when studying or teaching a course in fracture mechanics

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Application of Principles of Linear Elastic Fracture Mechanics for Concrete Structures: A Numerical Study

Cited by 4 publications

References 19 publications

Effects of Meso-scale Modeling on Concrete Fracture Parameters Calculation

Effects of Meso-scale Modeling on Concrete Fracture Parameters Calculation

Reinforcement impact on state of cracks in concrete slabs

Effect of reinforcement on the crack resistance of concrete slabs

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