A 2D peridynamic model for fatigue crack initiation of railheads

Ma, Xinkai; Xu, Jiren; Liu, Linya; Wang, Ping; Feng, Qingsong; Xu, Jingmang

doi:10.1016/j.ijfatigue.2020.105536

Cited by 28 publications

(10 citation statements)

References 26 publications

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“…Accordingly, literature concerning peridynamic theory is quite exhaustive and abundant. In the past two decades, several peridynamic studies pertaining to elastic deformation and fracture solids [2,[26][27][28], brittle fracture [29][30][31][32][33], fatigue failure [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49], and PD application of damage in composites [33,43,[50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65] have been reported. Studies related to crack initiation and propagation using peridynamics can be found in [30,[66][67][68][69].…”

Section: Review Of Peridynamic Theorymentioning

confidence: 99%

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

Zeleke

Ageze

2021

Journal of Engineering

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The study of heat conduction phenomena using peridynamic (PD) theory has a paramount significance on the development of computational heat transfer. This is because PD theory has got an interesting feature to deal with the inherent nonlocal nature of heat transfer processes. Since the revolutionary work on PD theory by Silling (2000), extensive investigations have been devoted to PD theory. This paper provides a survey on the recent developments of PD theory mainly focusing on diffusion based peridynamic (PD) formulation. Both the bond-based and state-based PD formulations are revisited, and numerical examples of two-dimensional problems are presented.

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Section: Review Of Peridynamic Theorymentioning

confidence: 99%

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

Zeleke

Ageze

2021

Journal of Engineering

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“…Additionally, 15 mm depth is enough to study the nonlinear characteristics of rail materials. Ma et al [ 10 ] developed a two−dimensional method of predicting the initiation of railhead fatigue cracks by analyzing reasonable model parameters and verifying the method accuracy by comparing the obtained results with those obtained using classical continuum mechanics and those previously published in the literature. They analyzed and discussed the effects of wheel−rail rolling and sliding, friction coefficients, and wheel loads on fatigue crack initiation.…”

Section: Introductionmentioning

confidence: 97%

Influence of Stress Intensity Factor on Rail Fatigue Crack Propagation by Finite Element Method

et al. 2021

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Wheel rail rolling contact fatigue is a very common form of damage, which can lead to uneven rail treads, railhead nuclear damage, etc. Therefore, ANSYS software was used to establish a three-dimensional wheel–rail contact model and analyze the effects of several main characteristics, such as the rail crack length and crack propagation angle, on the fatigue crack intensity factor during crack propagation. The main findings were as follows: (1) With the rail crack length increasing, the position where the crack propagated by mode I moved from the inner edge of the wheel–rail contact spot to the outer edge. When the crack propagated to 0.3–0.5 mm, it propagated to the rail surface, causing the rail material to peel or fall off and other damage. (2) When the crack propagation angle was less than 30°, the cracks were mainly mode II cracks. When the angle was between 30 and 70°, the cracks were mode I–II cracks. When the angle was more than 70°, the cracks were mainly mode I cracks. When the crack propagation angle was 60°, the equivalent stress intensity factor reached the maximum, and the rail cracks propagated the fastest.

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“…Interestingly, the application of PD theory in railways is still relatively rare. The studies in 46 and 47 could be accepted as pioneering works. In both studies they have applied the fatigue model as proposed in 48 .…”

Section: Introductionmentioning

confidence: 99%

“…In both studies they have applied the fatigue model as proposed in 48 . Meanwhile in 46 , the rail squats were examined in terms of crack propagation whereas crack initiation on a rail surface were assessed in 47 . Both studies assumed that quasi-static non-cyclic loading would be sufficient to validate the fatigue model that was subjected to cyclic loadings.…”

Section: Introductionmentioning

confidence: 99%

“…Time-mappings are utilized to speed up the calculations. As contrary to 46 , 47 , the validation process in this study also involves the cyclic loadings. The paper begins by introducing PD theory, state-based PD, the fatigue model, “crack on mid-plane” and adaptive time-mappings methods; carrying on demonstrating the PD models in details, the validation of the models, and ends up with the results, discussions and conclusions.…”

Section: Introductionmentioning

confidence: 99%

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Fatigue damage assessment of complex railway turnout crossings via Peridynamics-based digital twin

Hamarat

Papaelias

Kaewunruen

2022

Sci Rep

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Railway turnouts are essential in the train traffic route management for modern railways. Despite significant devotion to railway turnout research, one of their most common failures has not been thoroughly investigated, which is a fatigue over the turnout crossing nose. At the crossings, wheel-rail discontinuity imparts high-frequency high-magnitude forces, which are the source of fatigue failure over the crossing nose. In this study, a novel approach built on “Peridynamics” (PD) has been developed to obtain new insights into the fatigue cracks. A recent approach using “crack on mid-plane” has also been employed in this study to enhance the limited capability of Peridynamics. This paper is the world’s first to investigate fatigue failures over a crossing nose from fracture mechanics perspective. This paper also introduces a novel adaptive time-mapping method as an alternative to earlier time-mapping methods for fatigue models proposed in the open literature. The new model has been verified against both Finite Element Method and experimental data. It reveals that our new approach can simulate fatigue damage, particularly in mode I crack propagation. The study has provided important insights on the fatigue crack development, which is not possible before by existing Peridynamics fatigue model. The new approach on the basis of “adaptive time-mapping” and “crack on mid-plane” is demonstrated to be effective and efficient in PD simulations.

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A 2D peridynamic model for fatigue crack initiation of railheads

Cited by 28 publications

References 26 publications

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

Influence of Stress Intensity Factor on Rail Fatigue Crack Propagation by Finite Element Method

Fatigue damage assessment of complex railway turnout crossings via Peridynamics-based digital twin

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