## 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 | |

State | Published - 1999 |

Externally published | Yes |

## Keywords

- Crack
- Finite element method
- Least-squares
- Roller bearing
- Stress intensity factors