Numerical Analysis of Mixed-Mode Fracture in Concrete Using Extended Fictitious Crack Model

Shi, Zihai

doi:10.1061/(asce)0733-9445(2004)130:11(1738)

Cited by 26 publications

(12 citation statements)

References 15 publications

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“…Based on the fictitious crack model, there are four types of criteria commonly used in the mixed mode I-II fracture analyses of concrete, including stress-based, strain-based, energy-based and stress intensity factor (SIF)-based. By considering the extremely small size of the plastic zone at the fictitious crack tip, the principle tensile stress and maximum tangential stress criteria have been employed to determine the mixed mode I-II crack propagation in concrete [2][3][4][5]. Under the criteria, a crack begins to propagate when the principle tensile stress or maximum tangential stress at the tip of the crack is greater than the uniaxial tensile strength of concrete, and the crack propagates in the direction normal to the tensile stress at the crack tip.…”

Section: Introductionmentioning

confidence: 99%

A comparative study on stress intensity factor-based criteria for the prediction of mixed mode I-II crack propagation in concrete

Dong

Tang

et al. 2018

Engineering Fracture Mechanics

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Combined with the fictitious crack model, the stress intensity factor (SIF)-based criteria are widely adopted to determine the crack propagation of mixed mode I-II fracture in normal strength concrete. However, less research is reported on the applicability of the different SIF-based criteria when they are used to analyze the crack propagation process of concrete with different strength grades. With this objective in mind, three-point bending and four-point shear tests were conducted in this study on C20, C50 and C80 grade concrete to measure the initial fracture toughness, fracture energy, load-crack mouth opening/sliding displacement (CMOD/CMSD). Four SIF-based criteria, including two initial fracture toughness-based (with/without mode II component of SIF KII) and two nil SIF-based (with/without KII), were introduced to determine crack propagation and predict the P-CMOD/CMSD curves for the notched concrete beams under four-point shear loading. The results indicated that the difference between the peak loads from experiment and from the analysis based on the nil SIF criterion with KII approximately increases with the increase of the concrete strength. By contrast, the predicted peak load and P-CMOD/CMSD curves adopting the initial fracture toughness-based criterion with KII showed better agreement with experimental results for the different concrete strength. Meanwhile, in the case of the initial fracture toughness-based criteria, the predicted initial load was underestimated if the component of KII was not considered. However, the fracture mode transformed from mixed mode I-II to mode I after the crack initiation, meaning the KII component in the criterion had a less significant effect on the crack propagation process.

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Section: Introductionmentioning

confidence: 99%

A comparative study on stress intensity factor-based criteria for the prediction of mixed mode I-II crack propagation in concrete

Dong

Tang

et al. 2018

Engineering Fracture Mechanics

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“…Carpinteri et al [15] and Shi [44] studied the behavior of concrete gravity dams subjected to hydraulic loading. The test set-up is shown in Fig.…”

Section: Cracks In Damsmentioning

confidence: 99%

Extended meshfree methods without branch enrichment for cohesive cracks

Zi¹,

2006

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“…In FCM, FPZ is regarded as a macroscopic crack with normal cohesive stress σ acting on crack surface. In mode I concrete fracture, the initiation and propagation of cracks are triggered by tension stress (Dong et al 2016a) and cohesive stress in FPZ can be formulated with respect to crack opening displacement (COD), w. Accordingly, for mixed mode I-II fractures of concretes, cohesive stress in FPZ is formulated dividedly with respect to COD and crack slip displacement (CSD), ws (Gálvez et al 2002;Shi 2004;Dong et al 2017), because crack propagation is driven by tension stress σ and shear stress τ. Due to heterogeneity and asymmetry of different materials on the two sides of rock-concrete interfaces, mixed mode I-II interfacial fracture is dominant in these structures even under mode I loading.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, a variety of τ-ws laws have been applied in the numerical simulations of crack propagation in concrete samples. Combining with extended fictitious crack model, Shi (2004) applied four τ-ws curves to explore the crack propagation behavior of mixed I-II mode fracture in concrete samples. The effects of different τ-ws curves on the fracture behavior of the samples were evaluated by comparing numerical and experimental results.…”

Section: Introductionmentioning

confidence: 99%

Study on Shear–Softening Constitutive Law of Rock–Concrete Interface

Dong

Zhang

et al. 2021

Rock Mech Rock Eng

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In order to study fracture properties and establish a shear-softening constitutive law for rock-concrete interfaces, direct tension, three-point bending and single shear push-out tests were conducted on composite rock-concrete specimens with different degrees of interface roughness. The relationships between tensile strength ( ft ), average shear strength (τav), initial fracture toughness (K ini 1C ), mode I fracture energy (GIf) and interfacial roughness were determined based on experimental results. A shear-softening constitutive law for rock-concrete interface was developed by measuring strain variations on rock surfaces under loading stages during single shear push-out tests and defined based on shear strength (τmax) and mode II fracture energy (GIIf). For practical applications, the relationships between τmax and ft and between GIf and GIIf were determined by statistically fitting the experimental data in such a way that shear-softening constitutive law could be conveniently determined simply by measuring ft and GIf parameters of rock-concrete interface. Also, numerical simulations were carried out to investigate crack propagation in rock-concrete interfaces under mixed mode I-II fractures. Predicted load versus crack mouth opening displacement (CMOD) curves agreed well with experimental findings and verified the shear-softening constitutive law for rock-concrete interfaces obtained in this study. Keywords rock-concrete interface • shear-softening • constitutive law • interfacial fracture property • interfacial crack propagation • mixed mode I-II fracture

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Numerical Analysis of Mixed-Mode Fracture in Concrete Using Extended Fictitious Crack Model

Cited by 26 publications

References 15 publications

A comparative study on stress intensity factor-based criteria for the prediction of mixed mode I-II crack propagation in concrete

A comparative study on stress intensity factor-based criteria for the prediction of mixed mode I-II crack propagation in concrete

Extended meshfree methods without branch enrichment for cohesive cracks

Study on Shear–Softening Constitutive Law of Rock–Concrete Interface

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