Crack growth modeling and simulation of a peridynamic fatigue model based on numerical and analytical solution approaches

Bang, D.J.; Ince, Ayhan; Öterkuş, Erkan; Oterkus, Selda

doi:10.1016/j.tafmec.2021.103026

Cited by 29 publications

(4 citation statements)

References 51 publications

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“…The focus of these studies is to find a numerical solution that can provide a realistic simulation of the crack. Comprehensive analytical solutions based on fracture mechanics law have been obtained [1,2,3]. However, because analytical approaches are insufficiently flexible in dealing with complicated geometric issues, numerical techniques have been discovered to be effective alternatives.…”

Section: Introductionmentioning

confidence: 99%

Application of NURBS in the Fracture Mechanics Framework to Study the Stress Intensity Factor

Montassir

Moustabchir

Elkhalfi

2023

Stat., optim. inf. comput.

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In this investigation, we successfully employed the Non-Uniform Rational B-spline (NURBS) to study the fracture mechanics. the NURBS functions are very popular in the design field (CAD model) and it is used as an alternative to Lagrange interpolation polynomials. The extended isogeometric analysis based on this basis function is used to evaluate the stress intensity factors (SIFs) in order to control the crack propagation. For various crack lengths, SIFs were calculated to validate the accuracy of this technique. The results obtained are in good agreement with the available techniques as CFEM, X-FEM.

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Section: Introductionmentioning

confidence: 99%

Application of NURBS in the Fracture Mechanics Framework to Study the Stress Intensity Factor

Montassir

Moustabchir

Elkhalfi

2023

Stat., optim. inf. comput.

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“…Furthermore, it might cause longer simulations when crack speeds escalate. Another solution was presented in 52 , which proposed to solve bond life issue analytically. Nevertheless, its analytical solution was not validated for the crack initiation part.…”

Section: Introductionmentioning

confidence: 99%

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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“…The test results show that the peridynamic simulation results agree very well with the decrease in stiffness and strength. The results show that the usual fatigue damage peridynamic model is capable of handling the specifics of fracture initiation and propagation without the need for additional rules [ 63 , 64 ].…”

Section: Introductionmentioning

confidence: 99%

A State-Based Peridynamic Flexural Fatigue Model for Contact and Bending Conditions

Han

Chen

et al. 2022

Materials

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To address flexural fractures and predict fatigue life, an ordinary state-based peridynamic (PD) fatigue model is proposed for the initiation and propagation of flexural fractures. The key to this model is to replace the traditional partial differential fracture model with a spatially integral peridynamic model. Based on the contact and slip theory, the nonlocal peridynamic contact algorithm is confirmed and the load transfer is through the contact area. With the 3D peridynamic J-integration and the energy-based bond failure criterion, the peridynamic fatigue model for flexural cracks’ initiation and propagation is constructed. The peridynamic solid consists of a pair of gear contact surfaces and the formation and growth of flexural fatigue cracks evolved naturally over many loading cycles. The repeated load is transferred from the drive gear to the follower gear using the nonlocal peridynamic contact algorithm. The improved adaptive dynamic relaxation approach is used to determine the static solution for each load cycle. The fatigue bending crack angle errors are within 2.92% and the cycle number errors are within 10%. According to the experimental results, the proposed peridynamic fatigue model accurately predicts the location of the crack without the need for additional criteria and the fatigue life predicted by the simulation agrees quite well with the experimental results.

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Crack growth modeling and simulation of a peridynamic fatigue model based on numerical and analytical solution approaches

Cited by 29 publications

References 51 publications

Application of NURBS in the Fracture Mechanics Framework to Study the Stress Intensity Factor

Application of NURBS in the Fracture Mechanics Framework to Study the Stress Intensity Factor

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

A State-Based Peridynamic Flexural Fatigue Model for Contact and Bending Conditions

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