Prediction of crack paths in a quenched glass plate by using peridynamic theory

Kilic, Bahattin; Madenci, Erdogan

doi:10.1007/s10704-009-9355-2

Cited by 190 publications

(81 citation statements)

References 29 publications

(52 reference statements)

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“…Gaussian influence function such as ω ξ has previously been used in the context of bond-based peridynamics [21]. The influence function, equation (6), leads to equations of motion which conserve angular momentum, as can be shown by arguments identical to those presented in [9].…”

Section: Damage Correspondencementioning

confidence: 99%

An approach for incorporating classical continuum damage models in state-based peridynamics

Tupek

Rimoli

Radovitzky

2013

Computer Methods in Applied Mechanics and Engineering

133

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Peridynamics has gained significant attention as an alternative formulation for problems in solid mechanics. Recent contributions have included initial attempts to include material damage and failure. In this paper, we propose an approach to incorporate classical continuum damage models in the state-based theory of peridynamics. This has the advantage of enabling the description of the damage evolution process in peridynamics according to well-established models. The approach is based on modifying the peridynamic influence function according to the state of accumulated damage. As a result, peridynamic bonds between nonlocal material points are severed in accordance with the damage law. The peridynamic damage formulation proposed is implemented for the particular case of a well established ductile damage model for metals. The model is applied to the simulation of ballistic impact of extruded corrugated aluminum panels and compared with experiments.

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Section: Damage Correspondencementioning

confidence: 99%

An approach for incorporating classical continuum damage models in state-based peridynamics

Tupek

Rimoli

Radovitzky

2013

Computer Methods in Applied Mechanics and Engineering

133

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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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“…In their study, the bond-based peridynamics was used to study the numerical convergence in an opening-mode fracture case and the impact of a sphere on a brittle target. 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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Prediction of crack paths in a quenched glass plate by using peridynamic theory

Cited by 190 publications

References 29 publications

An approach for incorporating classical continuum damage models in state-based peridynamics

An approach for incorporating classical continuum damage models in state-based peridynamics

Peridynamic Modeling and Simulation of Rolling Contact Fatigue

Multiscale modeling and simulation of rolling contact fatigue

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