A numerical algorithm for multiple cracks propagation in concrete structure

Wen, Ming; Fang, Qian; Zhang, Dingli; Fang, Heng

doi:10.1002/suco.201900564

Cited by 8 publications

(7 citation statements)

References 18 publications

(40 reference statements)

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“…Applying the stress softening relation of concrete to the fictitious crack can effectively calculate the complicated fracture behavior of concrete linings caused by the fracture process zone [21]. For more details on XFEM and FCM, the reader is referred to the following references [21,[36][37][38].…”

Section: Numerical Experiments Of the Fracture Behavior Of Tunnel Liningsmentioning

confidence: 99%

Analysis of Crack Formation and Growth in Tunnel Linings Using Double-K Fracture Criterion

Huang

Wen

2022

Applied Sciences

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Empirical criteria and fracture/damage mechanics are used to evaluate the safety of lining cracks in the conventional methods. However, the former lacks a scientific basis, and the latter requires complicated mechanical calculations. To overcome the above shortcomings, this paper proposes a new method to perform crack analysis of plain concrete linings, based on the double-K fracture criterion. The proposed method uses two crack width indices, i.e., initiation and unstable fracture widths, to divide the fracture process of lining into three stages: initiation stage, stable propagation stage, and instability propagation stage. These two crack width indices are calculated by the equivalent transformation of fracture toughness. Using the proposed criterion, the safety state of the concrete lining can be determined by comparing the field measurement width and crack width indices. A specific code based on the extended finite element method (XFEM) is developed to simulate the fracture process of concrete lining. Several numerical experiments are carried out to evaluate the proposed fracture criterion. The results show that the two fracture indices of the proposed criterion can accurately identify two demarcation points of the three stages of the lining fracture process, including the nonlinear starting point and the unstable fracture point of the load–displacement curve. Compared with conventional methods, the proposed method uses the geometric parameter to estimate the mechanical state of cracks, so the complicated mechanical calculation can be avoided.

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Section: Numerical Experiments Of the Fracture Behavior Of Tunnel Liningsmentioning

confidence: 99%

Analysis of Crack Formation and Growth in Tunnel Linings Using Double-K Fracture Criterion

Huang

Wen

2022

Applied Sciences

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“…18,19 The surface crack maps are crucial gauge of the damage for the RC components. [20][21][22][23][24][25][26][27] The automated image-based damage quantification for RC components is categorized into two main steps. In the first step, the surface crack patterns and crushing zones are identified and documented.…”

Section: Introductionmentioning

confidence: 99%

“…The surface crack maps are crucial gauge of the damage for the RC components 20–27 . The automated image‐based damage quantification for RC components is categorized into two main steps.…”

Section: Introductionmentioning

confidence: 99%

Post‐earthquake stiffness loss estimation for reinforced concrete columns using fractal analysis of crack patterns

Hamidia

Afzali

Jamshidian

et al. 2023

Structural Concrete

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The seismic damage to reinforced concrete (RC) components is conventionally quantified through various damage indices. In this paper, an image‐based procedure is developed for post‐earthquake residual stiffness quantification of RC columns. The proposed scenario‐based methodology is built upon the multifractal indices of the surface crack maps of the seismically damaged RC columns as the complexity measure for the images. An extensive databank from experiments on RC column specimens with a broad range of structural characteristics are collected and employed for generation and validation of the proposed procedure. Based on the availability of the structural information, five closed‐form regression‐aided equations are offered for estimating the stiffness loss in seismically damaged RC columns using predicting parameters among fractal indices, concrete strength, and the aspect ratio of the column. Results reveal that multifractal dimensions of crack maps are largely correlated with the stiffness degradation in RC columns. A sample specimen at various stiffness‐based damage indices is also presented as a case study to evaluate the predicted versus measured damage indices. The updated stiffness values acquired by the proposed equations can be utilized for stability evaluation, system identification, or further analysis of the seismically damaged RC buildings following an earthquake.

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“…Under the external environment or load, the original cracks in the structure expand and intersect, while the new cracks may also intersect with the original cracks (Shi et al, 2013). Numerous studies have shown that the expansion and intersection of these cracks have an essential impact on the bearing capacity and durability of concrete structures and are the leading causes of engineering structures' ultimate failure (Wen et al, 2020;Zhang et al, 2013). Single crack growth processes in concrete under static and dynamic loadings have been systematically studied (Bhosale et al, 2020;Fan et al, 2020;Wu et al, 2011;Xu & Reinhardt, 1999a, 1999b.…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al (2018) conducted semi-circular bending (SCB) tests and numerical simulations to study the intersection of the pre-set and cemented natural cracks with non-vertical approaching angles. Wen et al (2020) proposed a new multi-crack length control method to analyze the propagations of multiple cracks in concrete structures. Shi et al (2004) conducted a numerical simulation analysis on the fracture mode of plain concrete beams with multiple cracks, focusing on the localization degree and interaction between cracks.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Investigations on Crack Intersection and Propagation of Concrete Structures

Wang

Zhuang

Xue

2022

Int J Concr Struct Mater

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This study presents experimental and numerical methods to reveal concrete structures’ crack propagation and intersection laws under static and dynamic loads. Firstly, a numerical simulation method was established using the user-defined material subroutines to solve the free crack surface contact problem of concrete structures. Secondly, three-point bending tests of concrete beams containing double cracks of different approaching angles were carried out based on the digital image correlation (DIC) technology to study the intersection and propagation of cracks. Finally, the fracture processes of double-crack concrete beams and concrete gravity dams with and without a longitudinal crack were simulated and analyzed under static and dynamic loads. The numerical results were compared with the test results to verify the effectiveness and accuracy of the proposed method in simulating crack intersection and propagation in concrete structures. Results indicate that the crack intersection affects the fracture path of concrete structures, weakens their bearing capacity, and accelerates the failure of the structures. The proposed simulation method provides an effective technical approach for crack propagation prediction and safety evaluation of engineering structures.

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A numerical algorithm for multiple cracks propagation in concrete structure

Cited by 8 publications

References 18 publications

Analysis of Crack Formation and Growth in Tunnel Linings Using Double-K Fracture Criterion

Analysis of Crack Formation and Growth in Tunnel Linings Using Double-K Fracture Criterion

Post‐earthquake stiffness loss estimation for reinforced concrete columns using fractal analysis of crack patterns

Experimental and Numerical Investigations on Crack Intersection and Propagation of Concrete Structures

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