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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$\mathrm{MPa}$