# List of symbols

Symbol | Name of the symbol | Unit |
---|---|---|

$ $ | Hardened material 1 | $\mathrm{ }$ |

$ $ | Hardened material 2 | $\mathrm{ }$ |

$C_E$ | material coefficient | $\mathrm{\cfrac{1}{MPa}}$ |

$C_c$ | coefficient according to load | $\mathrm{ }$ |

$D_1$ | sphere diameter $ D_1 $ | $\mathrm{mm}$ |

$D_1$ | diameter of spherical socket | $\mathrm{mm}$ |

$D_1$ | cylinder diameter $ D_1 $ | $\mathrm{mm}$ |

$D_1$ | diameter of cylindrical socket | $\mathrm{mm}$ |

$D_2$ | sphere diameter $ D_2 $ | $\mathrm{mm}$ |

$D_2$ | cylinder diameter $ D_2 $ | $\mathrm{mm}$ |

$E_1$ | Young's modulus for $ E_1 $ | $\mathrm{MPa}$ |

$E_2$ | Young's modulus for $ E_2 $ | $\mathrm{MPa}$ |

$F$ | total force | $\mathrm{N}$ |

$HB_1$ | hardness for $ HB_1 $ | $\mathrm{HB}$ |

$HB_2$ | hardness for $ HB_2 $ | $\mathrm{HB}$ |

$K_D$ | dimensional coefficient | $\mathrm{mm}$ |

$L$ | length | $\mathrm{mm}$ |

$S_F$ | safety factor | $\mathrm{ }$ |

$S_{y-1}$ | the minimum yield strength for $ S_{y-1} $ | $\mathrm{MPa}$ |

$S_{y-2}$ | the minimum yield strength for $ S_{y-2} $ | $\mathrm{MPa}$ |

$b$ | diameter of sphere contact area | $\mathrm{mm}$ |

$p$ | load per unit length | $\mathrm{N/mm}$ |

$ν_1$ | Poisson's ratio for $ ν_1 $ | $\mathrm{ }$ |

$ν_2$ | Poisson's ratio for $ ν_2 $ | $\mathrm{ }$ |

$σ_H$ | allowable Hertz pressure | $\mathrm{MPa}$ |

$σ_c$ | contact stress | $\mathrm{MPa}$ |