Stress intensity factors for an ARC crack in a rotating disc

Smith, R.N.L.

doi:10.1016/s0013-7944(85)80051-5

Cited by 8 publications

(3 citation statements)

References 4 publications

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“…The stress intensity factor and crack energy were determined in terms of a solution to the Fredholm integral equation. Smith [13] calculated the stress intensity factors of an arc crack in a rotating disk by using two distinct boundary element approaches. Schneider and Danzer [14] employed a closed-form weight function to calculate the stress intensity factor of an edge crack in a finite elastic disk.…”

Section: Isrn Mechanical Engineeringmentioning

confidence: 99%

“…It seems that for all of the considered angular speed values, the natural frequencies of this figure increase with the angular speed. Based on (4), (11b), (13) and (15), it is deduced that the global centrifugal stiffness matrix K r is proportional to the second-order angular speed ω 2 and is always negative. Thus, the presence of this negative term in the (15) increases the structural stiffness matrix causing in turn an increase of the natural frequencies with angular speed.…”

Section: Stationary Diskmentioning

confidence: 99%

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Vibration Analysis of a Rotating Disk with a Crack

Bouboulas

Anifantis

2011

ISRN Mechanical Engineering

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This paper studies the vibrational behaviour of a rotating disk with a radially or circumferentially oriented crack. The disk rotates with a constant angular speed. To treat this problem, the finite element method is employed. The disk is discretised into finite elements, and the crack is considered as nonpropagating and always open. The solutions to this problem's governing equations yield the natural frequencies and mode shapes. The frequency response due to dynamic loading is also yielded to determine the crack's effect on the frequency domain. For both crack orientations, parametric studies are conducted to investigate the sensitivity of the vibrational behaviour to the disk's angular speed and radial crack length or circumferential crack angle and distance from the disk's centre. The accuracy of the results is validated through comparisons with results available from the literature.

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Section: Isrn Mechanical Engineeringmentioning

confidence: 99%

Section: Stationary Diskmentioning

confidence: 99%

Vibration Analysis of a Rotating Disk with a Crack

Bouboulas

Anifantis

2011

ISRN Mechanical Engineering

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“…Stress Intensity Factor in rotating disc for different kind of cracks has been reported in references [1][2][3][4][5][6][7][8][9][10][11][12][13] . Moreover, fatigue crack growth in rotational disc had studied and the results were reported in references [14,15] .…”

Section: Introductionmentioning

confidence: 99%

Estimation of C*-Integral for Radial Cracks in Annular Discs under Constant Angular Velocity and Internal Pressure

Gowhari-Anaraki¹,

Djavanroodi²,

Shadlou³

2008

American J. of Applied Sciences

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The finite element method has been used to predict the creep rupture parameter, C*-Integral for single and double-edge cracks in eight annular rotating discs under constant angular velocity with and without internal pressure. In this study, a new dimensionless creeping crack configuration factor, Q* has been introduced. Power law creeping finite element analyses have been performed and the results are presented in the form of Q* for a wide range of components and crack geometry parameters. These parameters are chosen to be representative of typical practical situations and have been determined from evidence presented in the open literature. The extensive range of Q* obtained from the analyses are then used to obtain equivalent prediction equations using a statistical multiple non-linear regression model. The predictive equations for Q*, can also be used easily to calculate the C*-Integral values for extensive range of geometric parameters. The C*-Integral values obtained from predictive equations were also compared with those obtained from reference stress method (RSM). Finally, creep zone growth behavior was studied in the component during transient time

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