Crack Propagation Analysis of Concrete Beam Subjected to Three-Point Bending Using XFEM

Ru, Zhong Liang; Zhao, Hongbo; Chuan, Zhu

doi:10.4028/www.scientific.net/amm.94-96.1655

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…The cracking of dams, especially under seismic loading, is addressed using the principles of Non-Linear Fracture Mechanics has also been well documented [18][19][20][21][22][23][24], sometimes even incorporating eXtended Finite Element Method [22,25]. eXtended Finite Element Method has also been used to study the crack propagation analysis for three point bend specimens [26]. Fracture mechanics can, thus, be set as a benchmark to explain the behaviour of concrete and help prevent brittle failure of structures.…”

Section: Introductionmentioning

confidence: 99%

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

Chauhan

Tewani

Rama

2018

AMM

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Fracture mechanical studies have become a vital aspect of the design of concrete structures. This work aims to analyse/validate the size-effect of structural components in light of principles of Linear Elastic Fracture Mechanics (LEFM). Various models of a quasi-brittle material with different geometries have been analysed for Stress Intensity Factors (SIF) using Abaqus/CAE: a finite element analysis software. The effect of crack-to-depth ratio, span-to-depth ratio and specimen size on SIF values have been studied. Also the variation in SIF values with respect to changing the position of concentrated load application and initial notch on the specimen have been studied. It is found that for a particular notch-to-depth ratio, the SIF increases with a decrease in specimen size. Also, at a constant span-to-depth ratio, SIF increases with increase in the notch-to-depth ratio.

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Section: Introductionmentioning

confidence: 99%

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

Chauhan

Tewani

Rama

2018

AMM

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“…Swartz & Taha (1991) utilized finite element codes, with linear elastic fracture mechanics and nonlinear fracture mechanics to describe the crack propagation and fracture behaviour of plain concrete beams with Iosipscu-type geometry and loading in four-point bending with and without the presence of axial compression. Ru et al (2011) applied extended finite element method (XFEM) to analyse the location of the crack imposes on the crack propagation direction of plain concrete beam subjected to three-point bending test. Ray & Kishen (2012) proposed the fundamental principles of dimensional analysis and self-similarity to overcome the empirical nature of the analytical models.…”

Section: Introductionmentioning

confidence: 99%

Application of digital image correlation method for analysing crack variation of reinforced concrete beams

Shih

Sung

2013

Sadhana

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The Digital Image Correlation (DIC) method is a fast-growing emerging technology that provides a low-cost method for measuring the strain of an object. In this study, the feasibility of using this method to observe cracks developed in reinforced concrete beams will be explored so that a practical application can be proposed. The DIC method has been applied for analysing the field of surface displacement and strain; it is not applicable for measuring non-continuous field of displacement. However, if a singular point (i.e., crack points) can be considered as the area of concentrated strain by imitating the treatment of micro-cracks using the finite element method, the region of concentrated strain field based on analyses of digital images can be applied for determining the locations of cracks. Laboratory results show that cracks developed in reinforced cement beams can be observed with a good precision using the von Mises strain field, and that smaller grids lead to clearer crack images. In addition to identifying visible cracks, the DIC image analysis will enable researchers to identify minute cracks that are not visible to naked eyes. Additionally, the DIC method has more accuracy and precision than visual observation for analysing crack loadings so that earlier warnings can be realized before cracks develop in the specimen.

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“…According to crack growth of a beam, Fu et al investigated pure mode I fracture and mixed mode fracture of concrete bending beams under the impact load through experiment and numerical method [24]. Ru et al presented an extended finite element method to discuss the crack growth problems for a beam subjected to three-point bending [25]. But these methods cannot be used to track the crack depth on real time.…”

Section: Introductionmentioning

confidence: 99%

Prediction on Remaining Life of a V‐Notched Beam by Measured Modal Frequency

Liu

Barkey

2019

Shock and Vibration

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A prediction method for the remaining life of a V-notched beam using measured modal frequencies is proposed in this article. The main purpose is to provide a new monitoring method of crack growth for a cantilever beam. At first, the fatigue crack growth characteristic and the change law of modal frequencies of a V-notched cantilever beam under cyclic loading were studied by experiments. Subsequently, the relation of modal frequencies and crack growth were analyzed. Thereafter, the decrease ratio of the first modal frequency was employed to reflect the crack damage so as to set up the relation of the modal frequency and the crack damage, and the evolution model between the crack damage and the cyclic loading numbers were set up. A prediction method for crack growth life was proposed for a cantilever beam based on the decrease ratio of the first modal frequency in the end. The remaining life of a V-notched cantilever beam can be obtained using the proposed method with a given endured loading cycles and the corresponding measured modal frequency. Results indicate that the remaining fatigue life of the V-notched cantilever beam is related to the decrease ratio of the modal frequency, and the predicted remaining life is in good agreement with the measured remaining life as the crack depth extends to a certain value.

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Crack Propagation Analysis of Concrete Beam Subjected to Three-Point Bending Using XFEM

Cited by 3 publications

References 7 publications

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

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

Application of digital image correlation method for analysing crack variation of reinforced concrete beams

Prediction on Remaining Life of a V‐Notched Beam by Measured Modal Frequency

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