Characteristics of dynamic brittle fracture captured with peridynamics

Ha, Youn Doh; Bobaru, Florin

doi:10.1016/j.engfracmech.2010.11.020

Cited by 425 publications

(200 citation statements)

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“…It has been applied to structural stability and failure analyses [11,12], fracture mechanics [13][14][15][16], and composite materials [17][18][19][20]. In this paper, we employed peridynamics to study rolling contact fatigue.…”

Section: Resultsmentioning

confidence: 99%

Peridynamic Modeling and Simulation of Rolling Contact Fatigue

Ma¹,

Xiao²

2017

J Appl Mech Eng

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Section: Resultsmentioning

confidence: 99%

Peridynamic Modeling and Simulation of Rolling Contact Fatigue

Ma¹,

Xiao²

2017

J Appl Mech Eng

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“…동적취성파괴 현상을 엄밀하게 모사할 수 있었다 (Ha and Bobaru, 2010;Ha and Cho, 2011;Ha and Bobaru, 2011;Hu et al, 2011;Bobaru et al, 2012;Ha and Cho, 2012 …”

Section: 결합 기반 페리다이나믹 모델은 비교적 간단한 모델링으로unclassified

State-based Peridynamic Modeling for Dynamic Fracture ofPlane Stress

Ha¹

2015

jcoseik

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A bond-based peridynamic model has been shown to be capable of analyzing many of dynamic brittle fracture phenomena. However, there have been issued limitations on handling constitutive models of various materials. Especially, it assumes bonds act independently of each other, so that Poisson's ratio for 3D model is fixed as 1/4 as well as taking only account the bond stretching results in a volume change not a shear change. In this paper a state-based peridynamic model of dynamic brittle fracture is presented. The state-based peridynamic model is a generalized peridynamic model that is able to directly use a constitutive model from the standard theory. It permits the response of a material at a point to depend collectively on the deformation of all bonds connected to the point. Thus, the volume and shear changes of the material can be reproduced by the state-based peridynamic theory. For a linearly elastic solid, a plane stress model is introduced and the damage model suitable for the state-based peridynamic model is discussed. Through a convergence study under decreasing the peridynamic nonlocal region(δ-convergence), the dynamic fracture model is verified. It is also shown that the state-based peridynamic model is reliable for modeling dynamic crack propagatoin. Keywords     (2)

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“…Kilic and Madenci [120,121] studied structural stability and failure analysis, and in that work peridynamics was used to predict crack paths in a quenched glass plate. Some other studies have been conducted in fracture mechanics using peridynamics [122][123][124][125], and peridynamics has also been applied to study composites [126][127][128][129].…”

Section: Peridynamicsmentioning

confidence: 99%

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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Characteristics of dynamic brittle fracture captured with peridynamics

Cited by 425 publications

References 28 publications

Peridynamic Modeling and Simulation of Rolling Contact Fatigue

Peridynamic Modeling and Simulation of Rolling Contact Fatigue

State-based Peridynamic Modeling for Dynamic Fracture ofPlane Stress

Multiscale modeling and simulation of rolling contact fatigue

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