### Abstract

The three-dimensional finite element method and the least-squares method were used to find the stress intensity factors (SIFs) of a surface crack in a lubricated roller. A steel roller on a rigid plane was modeled, in which a semi-elliptical surface crack is inclined at an angle ψ to the vertical axis. A distance c is set between the crack base and the roller edge. The results indicate that the mode-I SIF reaches the maximum value when the angle θ is equal to 0° (on the roller surface), and the mode-II SIF reaches the absolute maximum value when the angle θ is near or equal to 90° (inside the roller), where θ is the angle of the semi-ellipse from 0° to 180°. The influence of mode-III SIFs in this model is minor since they are much smaller than the mode-I and mode-II SIFs. The SIFs increase greatly when the crack location approaches the uncrowned edge. At this time, a crowned profile can be used to significantly reduce the SIFs near the roller edge.

Original language | English |
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Pages (from-to) | 1-15 |

Number of pages | 15 |

Journal | International Journal of Fracture |

Volume | 96 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1999 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Computational Mechanics
- Modelling and Simulation
- Mechanics of Materials

### Cite this

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*International Journal of Fracture*, vol. 96, no. 1, pp. 1-15. https://doi.org/10.1023/A:1018645707462

**Evaluating stress intensity factors of a surface crack in lubricated rolling contacts.** / Ju, Shen-Haw; Cha, K. C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Evaluating stress intensity factors of a surface crack in lubricated rolling contacts

AU - Ju, Shen-Haw

AU - Cha, K. C.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - The three-dimensional finite element method and the least-squares method were used to find the stress intensity factors (SIFs) of a surface crack in a lubricated roller. A steel roller on a rigid plane was modeled, in which a semi-elliptical surface crack is inclined at an angle ψ to the vertical axis. A distance c is set between the crack base and the roller edge. The results indicate that the mode-I SIF reaches the maximum value when the angle θ is equal to 0° (on the roller surface), and the mode-II SIF reaches the absolute maximum value when the angle θ is near or equal to 90° (inside the roller), where θ is the angle of the semi-ellipse from 0° to 180°. The influence of mode-III SIFs in this model is minor since they are much smaller than the mode-I and mode-II SIFs. The SIFs increase greatly when the crack location approaches the uncrowned edge. At this time, a crowned profile can be used to significantly reduce the SIFs near the roller edge.

AB - The three-dimensional finite element method and the least-squares method were used to find the stress intensity factors (SIFs) of a surface crack in a lubricated roller. A steel roller on a rigid plane was modeled, in which a semi-elliptical surface crack is inclined at an angle ψ to the vertical axis. A distance c is set between the crack base and the roller edge. The results indicate that the mode-I SIF reaches the maximum value when the angle θ is equal to 0° (on the roller surface), and the mode-II SIF reaches the absolute maximum value when the angle θ is near or equal to 90° (inside the roller), where θ is the angle of the semi-ellipse from 0° to 180°. The influence of mode-III SIFs in this model is minor since they are much smaller than the mode-I and mode-II SIFs. The SIFs increase greatly when the crack location approaches the uncrowned edge. At this time, a crowned profile can be used to significantly reduce the SIFs near the roller edge.

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U2 - 10.1023/A:1018645707462

DO - 10.1023/A:1018645707462

M3 - Article

VL - 96

SP - 1

EP - 15

JO - International Journal of Fracture

JF - International Journal of Fracture

SN - 0376-9429

IS - 1

ER -