Peridynamic theory for progressive damage prediction in center-cracked composite laminates

Kilic, Bahattin; Agwai, Abigail; Madenci, Erdogan

doi:10.1016/j.compstruct.2009.02.015

Cited by 243 publications

(146 citation statements)

References 21 publications

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“…This interaction force can also be viewed as a bond force between the material points. The present study utilizes the response function described in [Kilic 2008], which can be written as…”

Section: Response Functionmentioning

confidence: 99%

“…Therefore, parallel processing using OpenMP is also employed to reduce computation time while utilizing uniform grids as arrays of linked lists as described in [Kilic 2008]. A binary space decomposition introduced in [Berger and Bokhari 1987;Kilic 2008] is used to obtain good load balancing on each processor. The decomposition involves division of the space into two subunits, with an approximately equal number of collocation points.…”

Section: Numerical Implementationmentioning

confidence: 99%

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Coupling of peridynamic theory and the finite element method

Kilic

Madenci

2010

J. Mech. Mater. Struct.

174

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The finite element method is widely utilized for the numerical solution of structural problems. However, damage prediction using the finite element method can be very cumbersome because the derivatives of displacements are undefined at the discontinuities. In contrast, the peridynamic theory uses displacements rather than displacement derivatives in its formulation. Hence, peridynamic equations are valid everywhere, including discontinuities. Furthermore, the peridynamic theory does not require an external criterion for crack initiation and propagation since material failure is invoked through the material response. However, the finite element method is numerically more efficient than the peridynamic theory. Hence, this study presents a method to couple the peridynamic theory and finite element analysis to take advantage of both methods. The regions where failure is expected are modeled using peridynamics while remaining regions are modeled utilizing the finite element method. Finally, the present approach is demonstrated through a simple problem and predictions of the present approach are compared against both the peridynamic theory and finite element method. The damage simulation results for the present method are demonstrated by considering a plate with a circular cutout.

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“…This interaction force can also be viewed as a bond force between the material points. The present study utilizes the response function described in [Kilic 2008], which can be written as…”

Section: Response Functionmentioning

confidence: 99%

Section: Numerical Implementationmentioning

confidence: 99%

Coupling of peridynamic theory and the finite element method

Kilic

Madenci

2010

J. Mech. Mater. Struct.

174

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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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“…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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Peridynamic theory for progressive damage prediction in center-cracked composite laminates

Cited by 243 publications

References 21 publications

Coupling of peridynamic theory and the finite element method

Coupling of peridynamic theory and the finite element method

Peridynamic Modeling and Simulation of Rolling Contact Fatigue

Multiscale modeling and simulation of rolling contact fatigue

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