Peridynamic model for fatigue cracking.

Silling, Stewart A.; Askari, Abe

doi:10.2172/1160289

Cited by 100 publications

(121 citation statements)

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“…In addition, Silling and Askari [8] presented a peridynamic damage model that did not explicitly involve a critical bond strain for damage. Instead, they introduced a damage variable called the "remaining life" in each bond that evolves over time, as described below.…”

Section: Fatigue Modelmentioning

confidence: 99%

“…al [8] identifies a remaining life λ(x, ξ, N ) for each bond ξ connected to any point x. . The remaining life develops gradually as the loading cycle N increases based on the following relation:…”

Section: Fatigue Modelmentioning

confidence: 99%

“…5.4 [8]. Once the initial crack location and the corresponding fatigue life are calculated, the bond with the minimum fatigue cycles is broken.…”

Section: Crack Initiation and Propagationmentioning

confidence: 99%

“…There is another approach to simulate fatigue crack propagation using peridynamics [8], and it was not used but only describeded in this section. In this approach, there should be an initial crack in order to perform crack propagation analysis.…”

Section: Another Approach For Crack Propagation Using Initial Cracksmentioning

confidence: 99%

“…In addition, the calibrated value for A 2 in the peridynamic model is given by [8] A 2 = A da/dN (da/dN ) (5.35) If the loading is less than the fatigue limit on the S-N curve, there will be no fatigue damage occurring and accumulating. To incorporate such a fatigue limit into the peridynamic fatigue model, the fatigue crack initiation phase in Eq.…”

Section: Another Approach For Crack Propagation Using Initial Cracksmentioning

confidence: 99%

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Multiscale modeling and simulation of rolling contact fatigue

Gharehbagh

Ali

2018

International Journal of Fatigue

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iii ABSTRACT In this thesis, a hierarchical multiscale method was developed to predict rolling contact fatigue lives of mechanical systems. In the proposed multiscale method, the molecular modeling and simulation of lubricant was conducted to investigate the friction between rolling contact surfaces. The calculated friction coefficient was passed to the continuum model of rolling contact components to predict fatigue lives.Molecular dynamics modeling and simulation of thin film lubrication and lubricated contact surfaces were carried out to investigate mechanisms of hydrodynamic lubrication at nano-scale first. Although various lubricant alkane chains were considered in the molecular model, the chain length of eight united molecules were mainly employed in this thesis. In addition, the effects of temperature and nano-particles (debris) on the friction forces were discussed. It was found that the existing of nano-particles (debris) could increase the friction force between contact surfaces with hydrodynamic lubrication.In the continuum model of the developed multiscale method, finite element analysis was employed to predict rolling contact fatigue life of rolling contact components, including bearing and gear-tooth. Specifically, the fatigue crack initiation of bearing was studied, and then the fatigue crack initiation and propagation in gear-tooth. In addition, the enhancement of gear-tooth fatigue life by using composite patches was discussed as well. It should be noted that the friction coefficient used in the continuum model was calculated in the molecular model. It is one-way message passing in iv the developed multiscale method.Another continuum method was studied and developed in this thesis to provide alternate methods for the continuum model in the proposed multiscale framework.Peridynamics method has advantages in modeling and simulation of discontinuities, including cracks, over the conventional finite element methods. The applications of Peridynamics in predicting fatigue crack initiation and propagation lives were discussed in this thesis. v PUBLIC ABSTRACTThis research aims to develop a hierarchical multiscale method to predict rolling contact fatigue lives of mechanical systems. In the proposed multiscale method, the molecular modeling and simulation of lubricant was conducted to investigate the friction between rolling contact surfaces. The calculated friction coefficient was passed to the continuum model of rolling contact components to predict fatigue lives.Molecular dynamics modeling and simulation of thin film lubrication and lubricated contact surfaces were carried out to investigate mechanisms of hydrodynamic lubrication at nano-scale first. In addition, the effects of temperature and nano-particles (debris) on the friction forces were discussed. It was found that the existing of nanoparticles (debris) could increase the friction force between contact surfaces with hydrodynamic lubrication.In the continuum model of the developed multiscale method, finite element analysis was employed to pred...

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Section: Fatigue Modelmentioning

confidence: 99%

Section: Fatigue Modelmentioning

confidence: 99%

“…5.4 [8]. Once the initial crack location and the corresponding fatigue life are calculated, the bond with the minimum fatigue cycles is broken.…”

Section: Crack Initiation and Propagationmentioning

confidence: 99%

Section: Another Approach For Crack Propagation Using Initial Cracksmentioning

confidence: 99%

Section: Another Approach For Crack Propagation Using Initial Cracksmentioning

confidence: 99%

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Multiscale modeling and simulation of rolling contact fatigue

Gharehbagh

Ali

2018

International Journal of Fatigue

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Peridynamic‐based modeling of elastoplasticity and fracture dynamics

Wang,

et al. 2024

Computer Animation & Virtual

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This paper introduces a particle‐based framework for simulating the behavior of elastoplastic materials and the formation of fractures, grounded in Peridynamic theory. Traditional approaches, such as the Finite Element Method (FEM) and Smoothed Particle Hydrodynamics (SPH), to modeling elastic materials have primarily relied on discretization techniques and continuous constitutive model. However, accurately capturing fracture and crack development in elastoplastic materials poses significant challenges for these conventional models. Our approach integrates a Peridynamic‐based elastic model with a density constraint, enhancing stability and realism. We adopt the Von Mises yield criterion and a bond stretch criterion to simulate plastic deformation and fracture formation, respectively. The proposed method stabilizes the elastic model through a density‐based position constraint, while plasticity is modeled using the Von Mises yield criterion within the bond of particle paris. Fracturing and the generation of fine fragments are facilitated by the fracture criterion and the application of complementarity operations to the inter‐particle connections. Our experimental results demonstrate the efficacy of our framework in realistically depicting a wide range of material behaviors, including elasticity, plasticity, and fracturing, across various scenarios.

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Linearized state‐based peridynamics for 2‐D problems

Sarego

Bobaru

et al. 2016

Numerical Meth Engineering

109

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Summary In this work, the authors formulate a 2‐D linearized ordinary state‐based peridynamic model of elastic deformations and compute the stiffness matrix for 2‐D plane stress/strain conditions. This model is then verified by testing the recovery of elastic properties for given Poisson's ratios in the range 0.1–0.45. The convergence behavior of peridynamic solutions in terms of the size of the nonlocal region by comparison with the classical (local) mechanics model is also discussed. The degree to which the peridynamic surface effect influences the recovery of elastic properties is examined, and stress/strain recovery values are found to have a definite influence on the results. The technique used here can provide the basis for applying 2‐D peridynamic models to the study of fatigue failure and quasi‐static fracture problems. Copyright © 2016 John Wiley & Sons, Ltd.

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Peridynamic model for fatigue cracking.

Cited by 100 publications

References 34 publications

Multiscale modeling and simulation of rolling contact fatigue

Multiscale modeling and simulation of rolling contact fatigue

Peridynamic‐based modeling of elastoplasticity and fracture dynamics

Linearized state‐based peridynamics for 2‐D problems

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