Validation of a peridynamic model for fatigue cracking

Zhang, Guanfeng; Le, Q. V.; Loghin, Adrian; Subramaniyan, Arun; Bobaru, Florin

doi:10.1016/j.engfracmech.2016.05.008

Cited by 117 publications

(60 citation statements)

References 34 publications

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“…Peridynamics, as a nonlocal extension of continuum mechanics [13,14], has been successful in modeling damage evolution and material failure [15,16,13]. Dynamic brittle fracture [17][18][19], fatigue and thermallyinduced cracking [20,16], fracture in porous and granular materials [21][22][23], failure of composites [24,25], corrosion damage [26][27][28][29], and stress corrosion cracking [30][31][32], are among some applications of this formulation in modeling material damage.…”

Section: Introductionmentioning

confidence: 99%

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

Jafarzadeh

Larios

Bobaru

2020

J Peridyn Nonlocal Model

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We introduce an efficient boundary-adapted spectral method for peridynamic diffusion problems with arbitrary boundary conditions. The spectral approach transforms the convolution integral in the peridynamic formulation into a multiplication in the Fourier space, resulting in computations that scale as ( log ). The limitation of regular spectral methods to periodic problems is eliminated using the volume penalization method. We show that arbitrary boundary conditions or volume constraints can be enforced in this way to achieve high levels of accuracy. To test the performance of our approach we compare the computational results with analytical solutions of the nonlocal problem. The performance is tested with convergence studies in terms of nodal discretization and the size of the penalization parameter in problems with Dirichlet and Neumann boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

Jafarzadeh

Larios

Bobaru

2020

J Peridyn Nonlocal Model

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“…e initial value of remaining life for each bond is unity. e relation of λ and cycle number N for fatigue crack growth phase can be written as [37,38]…”

Section: Peridynamic Theorymentioning

confidence: 99%

“…And it can be applied to both the crack initiation and growth phases. Zhang et al [38] used this remaining life model to study the fatigue cracking in homogeneous and composite materials. Jung and Seok [39,40] developed this fatigue model to calculate the fatigue crack growth of functionally graded materials (FGMs) and the mixed-mode fatigue crack propagation of homogeneous materials.…”

Section: Introductionmentioning

confidence: 99%

Studies on Quasi-Static and Fatigue Crack Propagation Behaviours in Friction Stir Welded Joints Using Peridynamic Theory

Wang

Guo

et al. 2019

Advances in Materials Science and Engineering

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The friction stir welding (FSW) technology has been widely applied in aircraft structures. The heterogeneity of mechanical properties in weld and the hole in structure will lead the crack to turn. Peridynamics (PD) has inherent advantages in calculating crack turning. The peridynamic theory is applied to study the crack turning behaviour of FSW joints in this work. The compact tension (CT) samples with and without a hole are designed. The crack propagation testing under quasistatic and fatigue loads are performed. The peridynamic microplastic model is used and a three-stage fatigue calculation model is developed to simulate the quasistatic fracture and the fatigue crack growth. The results predicted by the peridynamic models are compared with the experimental ones. The effects of welding direction on quasistatic and fatigue crack propagation behaviours are investigated and the effect of hole position on crack path geometry is also studied. It is shown that the crack turning in FSWed CT samples can be captured by the peridynamic microplastic and the three-stage fatigue calculation models. The peridynamic crack growth rates agree with the experimental results. For CT specimen without a hole, the crack turns into the weld zone where the material is softer. The effect of welding direction on crack growth rates is not obvious. For CT sample with a hole, the crack propagation direction has been mainly controlled by the hole location and the welding direction has a slight effect on crack path.

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“…The PD fatigue damage model used in this study was introduced in [32] and used in [33][34][35]. Other researchers have also developed fatigue damage models [36,37]; however, these models use bond-based peridynamic theory and simulate only the crack growth phase.…”

Section: State-based Peridynamic Theorymentioning

confidence: 99%

Peridynamic Analysis of Rail Squats

Freimanis

Kaewunruen

2018

Applied Sciences

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Rail surface defects are a serious concern for railway infrastructure managers all around the world. They lead to poor ride quality due to excess vibration and noise; in rare cases, they can result in a broken rail and a train derailment. Defects are typically classified as ‘rail studs’ when they initiate from the white etching layer, and ‘rail squats’ when they initiate from rolling contact fatigue. This paper presents a novel investigation into rail squat initiation and growth simulations using peridynamic theory. To the best of the authors’ knowledge, no other comprehensive study of rail squats has been carried out using this approach. Peridynamics are well-suited for fracture problems, because, contrary to continuum mechanics, they do not use partial-differential equations. Instead, peridynamics use integral equations that are defined even when discontinuities (cracks, etc.) are present in the displacement field. In this study, a novel application of peridynamics to rail squats is verified against a finite element solution, and the obtained simulation results are compared with in situ rail squat measurements. Some new insights can be drawn from the results. The outcome exhibits that the simulated cracks initiate and grow unsymmetrically, as expected and reported in the field. Based on this new insight, it is apparent that peridynamic modelling is well-applicable to fatigue crack modeling in rails. Surprisingly, limitations to the peridynamic analysis code have also been discovered. Future work requires finding an adequate solution to the matter-interpenetration problem.

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Validation of a peridynamic model for fatigue cracking

Cited by 117 publications

References 34 publications

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods

Studies on Quasi-Static and Fatigue Crack Propagation Behaviours in Friction Stir Welded Joints Using Peridynamic Theory

Peridynamic Analysis of Rail Squats

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