Determining double-K fracture parameters of concrete for compact tension and wedge splitting tests using weight function

Kumar, Shailendra; Barai, Sudhirkumar V.

doi:10.1016/j.engfracmech.2008.12.018

Cited by 78 publications

(43 citation statements)

References 22 publications

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“…G 0 is the energy release rate needed for an initial crack to grow, marking the onset of nonlinearity. The initial crack length a 0 was shown to have little influence on the initial toughness in terms of stress intensity factor [23,24], thus the same conclusion can be drawn for its counterpart G 0 . In other words, G 0 is also could be reviewed as one material property.…”

Section: Construction Of R-curvesupporting

confidence: 53%

A three-parameter R-curve of concrete-like quasi-brittle materials

Zhao

Chang

Gao

2015

Construction and Building Materials

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Section: Construction Of R-curvesupporting

confidence: 53%

A three-parameter R-curve of concrete-like quasi-brittle materials

Zhao

Chang

Gao

2015

Construction and Building Materials

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“…An improvement over this empirical formula was proposed by Kumar and Barai (2009a). The improved empirical relation is valid for 0.2 ≤ α ≤ 0.9 within 0.7% accuracy as compared with Eq.…”

Section: For Standard Ct Specimenmentioning

confidence: 96%

Crack Propagation Study Using Double-K and Double-G Fracture Parameters

Kumar

Barai

2010

Concrete Fracture Models and Applications

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“…From the results presented by authors [37], it can be seen that the error in results of K IC ini and K IC un for many specimens is more than ±20% which needs further attention for the validity of simplified extreme peak load method. It has been established from the extensive experimental and numerical studies [20][21][22][23][24][25][26]30] that the values of double -K fracture parameters (K IC ini and K IC un ) determined using experimental method and conventional analytical methods (GaussChebyshev integral method, weight function method) are in excellent agreement. Hence, in authors' opinion, the conventional analytical methods (Gauss-Chebyshev integral method, weight function method) can be considered as the standard analytical methods for determining the double -K fracture parameters.…”

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confidence: 87%

Numerical evaluation of simplified extreme peak load method for determining the double – K fracture parameters of concrete

Choubey¹,

Kumar²,

M³

2017

IJET

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Abstract-A simplified extreme peak load method for determining the double -K fracture parameters of concrete has been put forth in the recent research. The method was validated based on experimental test results available in the literature wherein, a significant deviation in predicted values of double -K fracture parameters for some specimens can be observed. The researchers attributed this deviation to measuring error in critical crack mouth opening displacement during fracture test which needs further investigation. Hence a systematic numerical investigation on predicted double -K fracture parameters of concrete using simplified extreme peak load method is presented in this study wherein the peak load and critical crack mouth opening displacement are obtained using fictitious crack model for varying specimen size and initial notch-length to depth ratio. For computation, use of numerical data seems to be precise as experimental data involves error in measuring of critical crack mouth opening displacement during fracture test. Present study reveals that the simplified extreme peak load method is applicable to a limited specimen size range between 200 to 300 mm. This method yields error in the predicted values of double-K fracture parameters of concrete for specimen size below 200mm and beyond 300mm.Keyword-Three-point bending geometry, Mode-I fracture, Concrete, Double-K fracture parameters, Simplified extreme peak load method, Weight function method. I. INTRODUCTIONThe crack propagation study and fracture parameters of concrete structures are described using nonlinear concrete fracture models such as cohesive crack model (CCM) or fictitious crack model (FCM) [1][2][3][4][5][6][7][8][9][10][11][12][13][14] In last two decades, the double-K fracture model has attracted attention of researchers and academia around the world due to many advantages. This model uses LEFM principle in its modified form; it can describe the three important stages of crack propagation in concrete viz.: crack initiation, stable crack propagation and unstable fracture in concrete and the fracture parameters can be determined without use of close loop testing machine. This method is characterized by two material parameters: initial cracking toughness K IC ini and unstable fracture toughness K IC un . The initial cracking toughness is defined as the inherent toughness of the materials, which holds for loading at crack initiation when material behaves elastically and micro cracking is concentrated to a smallscale in the absence of main crack growth. The total toughness at the critical condition is termed as unstable toughness which is regarded as one of the material fracture parameters at the onset of the unstable crack propagation. The initial cracking toughness can be considered as a failure criterion in the design process for design of large size concrete structures like dam, nuclear reactor vessels, and liquid retaining structures wherein crack initiation is taken as one of design criteria. The unstable fracture toughness of the materia...

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Determining double-K fracture parameters of concrete for compact tension and wedge splitting tests using weight function

Cited by 78 publications

References 22 publications

A three-parameter R-curve of concrete-like quasi-brittle materials

A three-parameter R-curve of concrete-like quasi-brittle materials

Crack Propagation Study Using Double-K and Double-G Fracture Parameters

Numerical evaluation of simplified extreme peak load method for determining the double – K fracture parameters of concrete

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